Which of the following is the best description of the interior structure of a highly evolved high mass star late in its lifetime but before the collapse of its iron core?
a. Uranium, thorium, and plutonium collect in the core, eventually triggering a nuclear explosion
b. The elements within the star's interior are arranged in a uniform mixture of hydrogen and helium, with a coating of iron.
c. The interior consists almost entirely of carbon, with a small iron core
d. An onion-like set of layers, with the heaviest elements in the innermost shells surrounded by progressively lighter ones.
e. Multiple chemical elements are randomly mixed throughout the interior.

Answers

Answer 1

The best description of the interior structure of a highly evolved high mass star late in its lifetime but before the collapse of its iron core is  an onion-like set of layers, with the heaviest elements in the innermost shells surrounded by progressively lighter ones. option d.

This is because as a high mass star evolves, it undergoes nuclear fusion reactions that create heavier elements such as carbon, oxygen, and silicon. These elements then sink towards the core, creating a layered structure with the heaviest elements in the innermost shells. As the star approaches the end of its life, the iron core eventually becomes unstable and collapses, leading to a supernova explosion. The other options are not accurate descriptions of the interior structure of a highly evolved high mass star. Answer option d.

More on high mass star: https://brainly.com/question/30706375

#SPJ11


Related Questions

If a sheet containing a single thin slit is heated (without damaging it) and therefore expands, what happens to the width of the central bright diffraction region on a distant screen? A.it gets narrower B.It gets wider C. It doesnt change

Answers

The width of the central bright diffraction region on a distant screen will get wider if a sheet containing a single thin slit is heated and expands. This is because the width of the central bright diffraction region is directly proportional to the width of the slit.  Correct answer is option B

As the slit expands due to heating, its width also increases, leading to a wider central bright diffraction region on the distant screen. This phenomenon can be explained by the principles of diffraction, which states that when a wave passes through an aperture, it diffracts and spreads out. In the case of a single thin slit, the light passing through the slit diffracts and creates a pattern of alternating bright and dark fringes on the distant screen.

The central bright fringe corresponds to the direct transmission of light through the center of the slit, and its width is dependent on the width of the slit.



Therefore, if the slit expands due to heating, the width of the central bright fringe also increases, resulting in a wider diffraction pattern on the screen. However, it is important to note that the intensity of the bright fringe decreases as the width increases, leading to a dimmer diffraction pattern overall.  Correct answer is option B

Know more about bright fringe here:

https://brainly.com/question/31315270

#SPJ11

FILL IN THE BLANK ____ satellites travel at a speed and direction that keeps pace with the earth's rotation, so they appear (from earth) to remain stationary over a given spot.

Answers

Answer:

Geosynchronous

Explanation:

Quizlet

Geostationary satellites travel at a speed and direction that keeps pace with the earth's rotation, so they appear (from earth) to remain stationary over a given spot.

The isoelectric point, pl, of the protein yeast alcohol dehydrogenase is 5.4 , while that of adenosine deaminase is 4.85 What is the net charge of yeast alcohol dehydrogenase at pH 4.6 ?L What is the net charge of adenosine deaminase at pH 3.5 ? The isoelectric point of leucine is 5.98 ; alanine , 6.01. During paper electrophoresis at pH 5.5, toward which electrode does leucine migrate? During paper electrophoresis at pH 4.3 , toward which electrode does alanine migrate? | The isoelectric point, pl, of the protein superoxide dismutase is 4.95, while that of glyceraldehyde-3-phosphate dehydrogenase is 6.55. What is the net charge of superoxide dismutase at pH 4.3 ? What is the net charge of glyceraldehyde-3-phosphate dehydrogenase at pH 6.1 ? The isoelectric point of asparagine is 5.41 ; threonine , 5.6. During paper electrophoresis at pH 6.5, toward which electrode does asparagine migrate? During paper electrophoresis at pH 4.5, toward which electrode does threonine migrate?

Answers

For adenosine deaminase: the protein has a net charge of approximately +2 at pH 3.5.

For leucine: It will not migrate towards either electrode during electrophoresis.

For alanine: It will migrate towards the negative electrode during electrophoresis.

For superoxide dismutase: the protein has a net charge of approximately +1 at pH 4.3.

For glyceraldehyde-3-phosphate dehydrogenase: the protein has a net charge of approximately -0.25 at pH 6.1.

To calculate the net charge of a protein at a certain pH, we need to compare the pH to the protein's isoelectric point (pI). At the pI, the protein has a net charge of zero. At pH values below the pI, the protein is positively charged, and at pH values above the pI, the protein is negatively charged.

For yeast alcohol dehydrogenase:

At pH 4.6, which is below the pI of 5.4, the protein is positively charged. The net charge can be calculated using the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

where pKa is the dissociation constant of the protein, [A-] is the concentration of the deprotonated form of the protein, and [HA] is the concentration of the protonated form of the protein.

Assuming a pKa of 6.0 for yeast alcohol dehydrogenase, we can write:

4.6 = 6.0 + log([A-]/[HA])

Solving for [A-]/[HA], we get:

[A-]/[HA] = 0.00316

This means that the ratio of deprotonated to protonated forms of the protein is 0.00316. Since the deprotonated form has a negative charge, we can assume that the protein has a net charge of approximately +1 at pH 4.6.

For adenosine deaminase:

At pH 3.5, which is below the pI of 4.85, the protein is positively charged. Using the same method as above, assuming a pKa of 6.0 for adenosine deaminase, we get:

3.5 = 6.0 + log([A-]/[HA])

[A-]/[HA] = 0.001

This means that the protein has a net charge of approximately +2 at pH 3.5.

For leucine:

At pH 5.5, which is between the pI values of leucine (5.98) and alanine (6.01), we need to look at the side chain of the amino acid. Leucine has a non-polar side chain and is therefore uncharged at this pH. It will not migrate towards either electrode during electrophoresis.

For alanine:

At pH 4.3, which is below the pI of alanine (6.01), the protein is positively charged. It will migrate towards the negative electrode during electrophoresis.

For superoxide dismutase:

At pH 4.3, which is below the pI of 4.95, the protein is positively charged. Using the same method as above, assuming a pKa of 6.0 for superoxide dismutase, we get:

4.3 = 6.0 + log([A-]/[HA])

[A-]/[HA] = 0.00316

This means that the protein has a net charge of approximately +1 at pH 4.3.

For glyceraldehyde-3-phosphate dehydrogenase:

At pH 6.1, which is above the pI of 6.55, the protein is negatively charged. Using the same method as above, assuming a pKa of 6.0 for glyceraldehyde-3-phosphate dehydrogenase, we get:

6.1 = 6.0 + log([A-]/[HA])

[A-]/[HA] = 1.25

This means that the protein has a net charge of approximately -0.25 at pH 6.1.

For more question on protein click on

https://brainly.com/question/25155734

#SPJ11

Isoelectric point (pI) is the pH at which a molecule has no net charge and is stationary during electrophoresis. At pH values lower than pI, molecules will have a net positive charge, while at higher pH values, they will have a net negative charge. When given the pI and pH values, we can determine the net charge of a protein.

For example, yeast alcohol dehydrogenase will have a net positive charge at pH 4.6, while adenosine deaminase will have a net negative charge at pH 3.5. During paper electrophoresis, the direction in which a molecule migrates towards an electrode depends on its charge. For example, leucine will migrate towards the negative electrode at pH 5.5, while alanine will migrate towards the positive electrode at pH 4.3. Lastly, knowing the pI and pH values, we can determine the net charge of a protein, such as superoxide dismutase having a net positive charge at pH 4.3, and glyceraldehyde-3-phosphate dehydrogenase having a net negative charge at pH 6.1.

To learn more about isoelectric point click here: brainly.com/question/31609011

#SPJ11

four objects are situated along the y axis as follows: a 1.92-kg object is at 3.01 m, a 2.93-kg object is at 2.42 m, a 2.53-kg object is at the origin, and a 4.05-kg object is at -0.498 m. where is the center of mass of these objects?

Answers

The center of mass of the four objects is approximately 0.95 meters along the y-axis.

To find the center of mass (COM) of the four objects along the y-axis, we will use the formula:

COM = (m1*y1 + m2*y2 + m3*y3 + m4*y4) / (m1 + m2 + m3 + m4)

Where m1, m2, m3, and m4 are the masses of the objects, and y1, y2, y3, and y4 are their respective positions on the y-axis. Plugging in the given values:

COM = ((1.92 kg * 3.01 m) + (2.93 kg * 2.42 m) + (2.53 kg * 0 m) + (4.05 kg * -0.498 m)) / (1.92 kg + 2.93 kg + 2.53 kg + 4.05 kg)

COM = ((5.7792 kg*m) + (7.0936 kg*m) + (0 kg*m) + (-2.0169 kg*m)) / (11.43 kg)

COM = (10.8559 kg*m) / (11.43 kg)

COM ≈ 0.95 m

Learn more about center of mass here:-

https://brainly.com/question/27549055

#SPJ11

In what direction is matter displaced in a traverse wave

A. In the same direction of the energy flow

B. In the opposite direction of the energy flow

C. In a spiral around the energy flow

D. At a right angle to the energy flow

Answers

Answer:

In a transverse wave, the matter is displaced perpendicular (at a right angle) to the direction of energy flow. Therefore, the correct answer is D.

Explanation:

Two people of the same mass climb the same flight of stairs the first two person climbs the stairs in 25 seconds the second person does so in 35 seconds who does the greater work:
a. the 1st person since he accomplished the task first
b. the 2nd person since he did the work longer
c. both did the same amount of work
d. cannot be determeined​

Answers

(c) Both did the same amount of work. The work done is determined by the force exerted on the stairs multiplied by the distance traveled.

(c) Both did the same amount of work. The work done is determined by the force exerted on the stairs multiplied by the distance traveled. In this scenario, the force exerted by each person is their weight, which is directly proportional to their mass. Since both people have the same mass, their weight and force exerted on the stairs are equal. Additionally, since they climbed the same flight of stairs, the distance traveled is also the same for both individuals. Therefore, the work done by each person is equal. The time taken to complete the task does not affect the amount of work done, as work is independent of the duration of the activity.

Learn more about mass here:

https://brainly.com/question/11954533

#SPJ11

he voltage across the inductor is vL =-(13.0V) sin((480rad/s)t]. Part A Derive an expression for the voltage VR across the resistor. Express your answer in terms of the variables L, R, Vų (amplitude of the voltage across the inductor), w, and t. VIR UR sin (wt - ) Lتا

Answers

the expression for the voltage VR across the resistor is VR = -(13.0V) * R/(L) cos((480rad/s)t) * t, where L is the inductance, R is the resistance, and t is the time

To derive an expression for the voltage VR across the resistor, we need to use Kirchhoff's voltage law, which states that the sum of the voltages around a closed loop in a circuit is zero. In this case, the loop includes the inductor and the resistor.
The voltage across the inductor is given as vL = -(13.0V) sin((480rad/s)t). We know that the voltage across a resistor is given by Ohm's law as VR = IR, where I is the current flowing through the resistor.
We can find the current flowing through the circuit by using the equation for the voltage across the inductor, which is vL = L(di/dt). We can rearrange this equation to find di/dt, which gives us the rate of change of the current. Thus, di/dt = (1/L) vL.
Substituting the given values, we get di/dt = -(13.0V)/(L) sin((480rad/s)t).
Now we can find the current flowing through the resistor as I = di/dt * t + I0, where I0 is the initial current when t=0. Since the current is alternating, we can assume that I0 = 0.
Therefore, I = -(13.0V)/(L) cos((480rad/s)t) * t.
Finally, we can find the voltage across the resistor as VR = IR * R. Substituting the expression for I, we get VR = -(13.0V) * R/(L) cos((480rad/s)t) * t. The amplitude of the voltage across the inductor is denoted by Vų, and the angular frequency is denoted by w.

To know more about voltage visit:

https://brainly.com/question/13521443

#SPJ11

the surface finish produced by electrical discharge machining has a cross-hatch pattern with a roughness value of 32 to 120 microinches. T/F?

Answers

True. The surface finish produced by electrical discharge machining (EDM) often exhibits a cross-hatch pattern and has a roughness value typically ranging from 32 to 120 microinches.

The roughness value is a measure of the irregularities or variations in the surface texture, with a higher value indicating a rougher surface. The cross-hatch pattern is a result of the electrode's movement during the EDM process, leaving characteristic lines on the surface. This pattern can help improve lubrication and wear resistance in certain applications. However, it's important to note that the specific roughness values can vary depending on various factors such as the EDM parameters, electrode material, and the workpiece material.

Learn more about electrical here:

https://brainly.com/question/31951565

#SPJ11

A sturdy balloon with volume of 0.500 m ^3 is attached to a 2.50×10^2 kg iron weight and tossed overboard into a freshwater lake. The balloon is made of a light material of negligible mass and elasticity (though it can be compressed). The air in the balloon is initially at atmospheric pressure. The system fails to sink and there are no more weights, so a skin diver decides to drag it deep enough so that the balloon will remain submerged. (denisty of water =1000 kg/m^3) (a) Find the volume of the balloon at the point where the system will remain submerged, in equilibrium. (b) What is the balloon pressure at that point? Assume the temperature does not change with depth.

Answers

The volume of the balloon when it is submerged in the water and remains in equilibrium is 0.038 m^3. The pressure of the balloon at that point is 1.55 x 10^5 P

Since the system is in equilibrium, the weight of the balloon is equal to the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the balloon. Hence, we can use Archimedes' principle to find the volume of the balloon when it is submerged and remains in equilibrium. We know that the density of water is 1000 kg/m^3 and the weight of the iron weight is 2.50 x 10^2 kg. Therefore, the weight of the water displaced by the iron weight is 2.50 x 10^2 kg x 9.81 m/s^2 = 2.4525 x 10^3 N. This is also equal to the weight of the balloon. Let the volume of the balloon when it is submerged be V. Then, the density of the balloon can be found using the mass and volume of the balloon. The mass of the balloon is negligible, so we can assume that the density of the balloon is the same as the density of the air inside it, which is approximately 1.29 kg/m^3. Therefore, the weight of the balloon is equal to the density of the balloon times the volume of the balloon times the acceleration due to gravity. Hence, we have 1.29 V x 9.81 = 2.4525 x 10^3. Solving for V, we get V = 0.038 m^3.

The pressure inside the balloon can be found using the ideal gas law, which relates the pressure, volume, and temperature of a gas. Since the temperature does not change with depth, we can assume that the temperature inside the balloon remains constant. Let P be the pressure inside the balloon at the point where it remains submerged. Then, the initial volume of the balloon is 0.500 m^3 and the initial pressure is atmospheric pressure, which is approximately 1.013 x 10^5 Pa. Using the ideal gas law, we have P x 0.500 = (1.013 x 10^5) x V. Substituting the value of V that we found earlier, we get P = 1.55 x 10^5 Pa. Hence, the pressure inside the balloon at the point where it remains submerged is 1.55 x 10^5 Pa.

Learn more about archimedes principle:

https://brainly.com/question/787619

#SPJ11

unpolarized light of intensity i0 passes through two sheets of ideal polarizing material. if the transmitted intensity is 0.30i0, what is the angle between the polarizer and the analyzer?

Answers

The angle between the polarizer and the analyzer is 39.2°.

The intensity of unpolarized light passing through a polarizing material is reduced by a factor of 1/2 since only one polarization direction is allowed to pass through. Thus, if the unpolarized light of intensity i0 passes through two polarizing materials, the intensity of transmitted light will be (1/2)*(1/2)*i0 = 0.25i0.

Since the transmitted intensity given in the problem is 0.30i0, it means that the second polarizing material is at an angle with respect to the first one. The intensity of transmitted light through two polarizing materials at an angle θ is given by I = (1/2)*i0*cos²θ.

Thus, 0.30i0 = (1/2)*i0*cos²θ, which implies that cos²θ = 0.6 or cosθ = √0.6. Taking the inverse cosine of both sides, we get θ = 39.2° (rounded to one decimal place).

Learn more about polarizer  here:-

https://brainly.com/question/31428863

#SPJ11

A round bottom flask contains 3.15 g of each methane, ethane, and butane is conta in ed in a 2.00 L flask at a temperature of 64 °C. a.) What is the partial pressure of each of the gases within the flask? b.) Calculate the total pressure of the mixture.

Answers

a) The partial pressure of methane is 2.49 atm, ethane is 1.33 atm, and butane is 0.68 atm.

b) The total pressure of the mixture is 4.50 atm.

To calculate the partial pressure of each gas, we can use the ideal gas law equation:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to find the number of moles of each gas. We can use the formula:

moles = mass / molar mass

For methane (CH4):

moles(CH4) = 3.15 g / 16.04 g/mol = 0.196 mol

For ethane (C2H6):

moles(C2H6) = 3.15 g / 30.07 g/mol = 0.105 mol

For butane (C4H10):

moles(C4H10) = 3.15 g / 58.12 g/mol = 0.054 mol

Next, we can calculate the partial pressure of each gas using the ideal gas law:

P(CH4) = (moles(CH4) * R * T) / V

P(C2H6) = (moles(C2H6) * R * T) / V

P(C4H10) = (moles(C4H10) * R * T) / V

Assuming R = 0.0821 L*atm/mol*K and converting the temperature to Kelvin (64 °C = 337 K), and the volume is given as 2.00 L, we can substitute the values to calculate the partial pressures.

For methane (CH4):

P(CH4) = (0.196 mol * 0.0821 L*atm/mol*K * 337 K) / 2.00 L = 2.49 atm

For ethane (C2H6):

P(C2H6) = (0.105 mol * 0.0821 L*atm/mol*K * 337 K) / 2.00 L = 1.33 atm

For butane (C4H10):

P(C4H10) = (0.054 mol * 0.0821 L*atm/mol*K * 337 K) / 2.00 L = 0.68 atm

To calculate the total pressure of the mixture, we sum up the partial pressures of each gas:

Total pressure = P(CH4) + P(C2H6) + P(C4H10)

Total pressure = 2.49 atm + 1.33 atm + 0.68 atm = 4.50 atm

Learn more about methane here:

https://brainly.com/question/12645635

#SPJ11

Write a claim that responds to the question: Why can transferring energy into or out of a substance change molecules’ freedom of movement? Be sure to include the words kinetic energy, temperature, and speed in your response.

Answers

The claim can be that, Kinetic energy refers to the perpetual motion of molecules in a material.

A molecule's temperature and speed are exactly related to how much kinetic energy it has. Molecules acquire more kinetic energy when energy is introduced into a substance by heating, which causes them to move more quickly and raise temperature. This rise in temperature and speed may cause more frequent collisions and increased movement among molecules.

While molecules lose kinetic energy when energy is transported out of a substance through cooling, which causes them to travel more slowly and drop in temperature. The molecules may travel more slowly and experience fewer collisions as a result of the drop in temperature and speed. As a result, the freedom of motion of a substance's molecules can be significantly impacted by the passage of energy into or out of it.

Read more about Kinetic energy on:

https://brainly.com/question/25959744

#SPJ1

the earth is approximately spherical, with a diameter of 1.27×107m1.27×107m. it takes 24.0 hours for the earth to complete one revolution.

Answers

Answer:This statement seems incomplete. Please provide the rest of the question.

learn more about  revolution.

https://brainly.com/question/17773408?referrer=searchResults

#SPJ11

compute the power for the element (a). assume that va = -13 v and ia = 3 a . be sure to give the correct algebraic sign. Express your answer to two significant figures and include the appropriate units

Answers

The power for element (a) is -39 VA to two significant figures with the correct algebraic sign.

To compute the power for element (a), we can use the formula P = V * I, where P is power, V is voltage, and I is current.

Substituting the given values, we get:

P = (-13 V) * (3 A) = -39 W

Since the voltage is negative and the current is positive, the power is negative, indicating that the element is absorbing power rather than supplying it.

Expressing the answer to two significant figures and including the appropriate units, the power for element (a) is -39 W.

Learn more about element

brainly.com/question/13025901

#SPJ11

a sinusoidal electromagnetic wave has rms electric field 800 n/c. what is the intensity of the wave? (c = 3.00 × 108 m/s, μ0 = 4π × 10-7 t ∙ m/a, ε0 = 8.85 × 10-12 c2/n ∙ m2)

Answers

The intensity of the wave is 1.92 x [tex]10^{-5[/tex] W/[tex]m^2[/tex].

The intensity (I) of an electromagnetic wave is defined as the average power per unit area that it carries.

The relationship between the intensity and the RMS electric field (E) of a sinusoidal electromagnetic wave is given by:

I = (1/2) x [tex]\epsilon_0[/tex] x c x [tex]E^2[/tex]

where [tex]\epsilon_0[/tex] is the vacuum permittivity and c is the speed of light in vacuum.

Substituting the given values, we have:

I = [tex](1/2) \times (8.85 \times 10^{-12}) \times (3.00 \times 10^8) \times (800 \times 10^{-9})^2[/tex]

I = 9.44 × [tex]10^{-5} W/m^2[/tex]

Therefore, the intensity of the wave is 9.44 × [tex]10^{-5[/tex] W/[tex]m^2[/tex]

It is important to note that the intensity of an electromagnetic wave depends on the square of the amplitude of its electric field.

Therefore, doubling the RMS electric field of the wave will result in a four-fold increase in its intensity.

Conversely, reducing the electric field amplitude by a factor of 2 will result in a reduction of the wave's intensity by a factor of 4.

For similar question on intensity of the wave

https://brainly.com/question/24319848

#SPJ11

The intensity (I) of an electromagnetic wave is defined as the average power (P) per unit area (A) of the wave, and can be calculated using the following formula:

I = P/A

We can also express the power of an electromagnetic wave in terms of the electric field (E) and magnetic field (B) amplitudes, using the following relationship:

P = (1/2)ε0cE^2

where ε0 is the permittivity of free space, c is the speed of light, and E is the root-mean-square (rms) electric field amplitude.

Since we are given the rms electric field amplitude, we can use the above equation to calculate the power of the wave:

P = (1/2)ε0cE^2 = (1/2)(8.85 × 10^-12 c^2/n ∙ m^2)(3.00 × 10^8 m/s)(800 × 10^-9 V/m)^2 = 0.095 W/m^2

Next, we can calculate the intensity by dividing the power by the area through which the wave is passing. Since the area of a sphere of radius r is 4πr^2, and the wave is assumed to be spreading out uniformly in all directions, we can take the area to be that of a sphere with radius r = 1 meter:

A = 4πr^2 = 4π(1 m)^2 = 12.57 m^2

Therefore, the intensity of the wave is:

I = P/A = 0.095 W/m^2 ÷ 12.57 m^2 = 7.57 × 10^-3 W/m^2

So the intensity of the wave is 7.57 × 10^-3 W/m^2.

Learn more about electromagnetic wave here : brainly.com/question/29774932

#SPJ11

a certain transverse wave is described by y(x,t)=bcos[2π(xl−tτ)], where b = 6.90 mm, l = 30.0 cm, and τ = 3.80×10−2 s.

Answers

The given transverse wave is described by the equation y(x,t)=6.90 mm cos[2π(x(30.0 cm)-t(3.80×10−2 s))] to provide an explanation, this equation represents the displacement of the wave at a certain point (x) and time (t). The displacement is given by wavelength (30.0 cm) and τ is the period (3.80×10−2 s) of the wave.

The argument inside the cosine function represents the phase difference between the wave at two different points in space and time. As the wave propagates, this phase difference changes, causing the wave to oscillate with a certain frequency and wavelength. Overall, the equation y(x,t)=6.90 mm cos[2π(x(30.0 cm)-t(3.80×10−2 s))] describes the displacement of a transverse wave with a wavelength of 30.0 cm and a period of 3.80×10−2 s at a certain point (x) and time (t) transverse wave described by the equation y(x,t) = bcos[2π(x/l - t/τ)], where b = 6.90 mm, l = 30.0 cm, and τ = 3.80×10^-2 s.

The wave function for this transverse wave is y(x,t) = 6.90 mm * cos[2π(x/(30.0 cm) - t/(3.80×10^-2 s))]. 1. The given wave function is y(x,t) = bcos[2π(x/l - t/τ)]. 2. You have been given the values for b, l, and τ: b = 6.90 mm, l = 30.0 cm, and τ = 3.80×10^-2 s. 3. Replace the variables b, l, and τ with their respective values in the equation y(x,t) = 6.90 mm cos[2π(x/(30.0 cm) - t/(3.80×10^-2 s))].Now, you have the wave function for the given transverse wave with the provided values.

To know more about wavelength visit :

https://brainly.com/question/13533093

#SPJ11

the first bright fringe of an interference pattern occurs at an angle of 12.5° from the central fringe when a double slit is illuminated by a 449-nm blue laser. what is the spacing of the slits?
_____m

Answers

we can use the equation for the location of the bright fringes in an interference pattern:

y = mλD/d where y is the distance from the central fringe to the mth bright fringe, λ is the wavelength of the light, D is the distance from the slits to the screen, and d is the spacing of the slits. We are given that the first bright fringe occurs at an angle of 12.5° from the central fringe, so we can use trigonometry to find y:

tan(12.5°) = y/D y = D tan(12.5°) We also know the wavelength of the light is 449 nm, or 4.49 x 10^-7 m. Plugging in these values and solving for d: y = mλD/d D tan(12.5°) = λd d = λD / tan(12.5°) d = (4.49 x 10^-7 m)(D) / tan(12.5°) We don't know the distance from the slits to the screen, D, but we can assume it's on the order of a few meters. Let's say D = 2 m: d = (4.49 x 10^-7 m)(2 m) / tan(12.5°) d ≈ 1.11 x 10^-6 m So the spacing of the slits is approximately 1.11 μm.

About Equation

Equation in science is a mathematical statement that expresses the relationship between two or more quantities. Equations can be used to describe natural phenomena, determine variable values, or solve problems. Equations usually consist of symbols that represent quantities, operators that indicate mathematical operations, and an equal sign (=) that indicates equality.

Learn More About Equation at https://brainly.com/question/17145398

#SPJ11

a wheel 213 cmcm in diameter takes 2.85 ss for each revolution, find its period and angular speed in rad/s

Answers

The period of the wheel is 2.85 seconds and its angular speed is 2.20 rad/s.

To start, we need to convert the diameter of the wheel from cm to meters, as angular speed is typically measured in radians per second and period is measured in seconds.

213 cm = 2.13 m

Next, we can use the formula for period:

Period = time for one revolution

We know that it takes 2.85 seconds for each revolution, so:

Period = 2.85 s

Now, we can use the formula for angular speed:

Angular speed = 2π / Period

We just found the period to be 2.85 seconds, so:

Angular speed = 2π / 2.85 s

Angular speed = 2.20 rad/s

Therefore, the period of the wheel is 2.85 seconds and its angular speed is 2.20 rad/s.

To know more about angular speed, refer

https://brainly.com/question/1543128

#SPJ11

suppose now that the violet beam is incident at height h, but makes an angle φ1,v = 60o with the horizontal. what is φ3,v, the angle the transmitted beam makes with the horizontal axis?

Answers

90o - arcsin(n1/n2*sin(60o)). is the angle the transmitted beam makes with the horizontal axis is φ3,v.

Assuming the medium through which the violet beam is transmitted is isotropic, we can use Snell's law to find the angle of the transmitted beam.

Snell's law states that n1*sin(φ1) = n2*sin(φ2), where n1 and n2 are the refractive indices of the initial and final mediums, respectively, and φ1 and φ2 are the angles of incidence and refraction, respectively, measured with respect to the normal to the surface separating the two mediums.

In this case, the violet beam is incident at an angle of φ1,v = 60o with the horizontal axis. We can assume that the horizontal axis is parallel to the surface separating the two mediums, so the normal to the surface is also horizontal.

Let's assume that the refractive index of the medium through which the violet beam is incident is n1, and the refractive index of the medium through which the violet beam is transmitted is n2. Then, we can write:
n1*sin(φ1,v) = n2*sin(φ2,v)

Solving for φ2,v, we get:
φ2,v = arcsin(n1/n2*sin(φ1,v))

So, to find φ3,v, the angle the transmitted beam makes with the horizontal axis, we need to subtract φ2,v from 90o, since the transmitted beam will be perpendicular to the normal to surface separating the two mediums.


φ3,v = 90o - φ2,v

Substituting the given values, we get:
φ3,v = 90o - arcsin(n1/n2*sin(60o))

Note that we need to know the refractive indices of the two mediums to calculate φ3,v. Without that information, we cannot give a numerical answer.

To know more about Snell's law visit:

https://brainly.com/question/2273464

#SPJ11

If the highest-frequency sound you can hear is 1.3×10^4hz , then what is its period?

Answers

The period of a sound wave is the time it takes for one complete cycle of wave to occur. It is measured in seconds. To find the period of a sound wave, we can use formula: Period = 1/frequency.  Period of highest-frequency sound that can be heard is [tex]7.69×10^{-5}[/tex] seconds



Where frequency is the number of cycles per second, measured in Hertz (Hz). In this case, the highest-frequency sound that can be heard is 1.3×[tex]10^{-4}[/tex]. Therefore, the period can be calculated as:  Period = 1/1.3×[tex]10^{4}[/tex] Hz , Period = 7.69×[tex]10^{-5}[/tex] seconds This means that it takes 7.69×[tex]10^{-5}[/tex] seconds for one complete cycle of the highest-frequency sound that can be heard.



It is important to note that the human ear can only hear sounds within a certain range of frequencies, typically between 20 Hz and 20,000 Hz. Sounds with frequencies below 20 Hz are called infrasound, while sounds with frequencies above 20,000 Hz are called ultrasound. The period of these sounds will vary depending on their frequency.

In conclusion, the period of the highest-frequency sound that can be heard is 7.69×[tex]10^{-5}[/tex] seconds, which is the time it takes for one complete cycle of the sound wave to occur.

Know more about ultrasound here:

https://brainly.com/question/31609447

#SPJ11

two loudspeakers in a 20°c room emit 686hz sound waves along the x- axis. an observer is located at x0.a. if the speakers are in phase, what is the smallest distance between the speakers for which the interference of the sound waves is perfectly destructive?b. if the speakers are out of phase, what is the smallest distance between the speakers for which the interference of the sound waves is maximum constructive?

Answers

Sure! Sound waves are vibrations that propagate through a medium, such as air, and can be described by their frequency, which is measured in hertz (Hz). Interference occurs when two or more waves overlap in space and time. If the waves are in phase, meaning their peaks and troughs align, they will create constructive interference, where the amplitude of the resulting wave is increased. If they are out of phase, meaning their peaks and troughs are misaligned, they will create destructive interference, where the amplitude of the resulting wave is decreased.

a. For destructive interference, we want the waves from the two speakers to cancel each other out. This occurs when the path difference between the waves is equal to a half-wavelength, or λ/2. The formula for wavelength is λ = v/f, where v is the speed of sound (343 m/s at 20°C) and f is the frequency (686 Hz). Therefore, λ = 343/686 = 0.5 m. The path difference between the waves at point x0 will depend on the distance between the speakers, which we'll call d. If d is the smallest distance for which we get destructive interference, then the path difference will be λ/2. Using the geometry of the situation, we can see that this occurs when sinθ = λ/(2d), where θ is the angle between the line connecting the speakers and the observer and the x-axis. Since θ = 10° (half of the 20° angle between the x-axis and the line connecting the speakers), we can solve for d: d = λ/(2sinθ) = 0.086 m.

b. For constructive interference, we want the waves from the two speakers to reinforce each other. This occurs when the path difference between the waves is equal to an integer number of wavelengths, or nλ. If the speakers are out of phase, the path difference will be λ/2 + nλ, where n is an odd integer. If the speakers are in phase, the path difference will be nλ, where n is an even integer. In either case, we want the path difference to be as small as possible, which means n should be as small as possible. Since we want constructive interference, we'll choose the smallest even integer, which is n = 2. Therefore, the path difference is 2λ = 1 m. Using the same formula as before, sinθ = nλ/(2d), we can solve for d: d = nλ/(2sinθ) = 0.214 m.

learn more about interference

https://brainly.in/question/13178543?referrer=searchResults

#SPJ11

A mass oscillates on a spring with a period of 0.89s and an amplitude of 5.9cm. Find an equation giving x as a function of time, assuming the mass starts at x=A at time t=0 .

Answers

The equation describing the motion of a mass oscillating on a spring with a period of 0.89s and an amplitude of 5.9cm, starting at x=A at time t=0, is x = 5.9cos((2π/0.89)t).

The motion of a mass on a spring can be described by the equation x = Acos(ωt + φ), where A is the amplitude of the motion, ω is the angular frequency, t is time, and φ is the phase constant. The period (T) of the motion is given by T = 2π/ω. In this case, the period is given as 0.89s, so we can calculate the angular frequency as ω = 2π/T = 7.03 rad/s.

The mass starts at x=A, so the phase constant can be found using the initial condition x(0) = A, which gives φ = 0. Substituting the values of A, ω, and φ into the equation for motion, we get x = 5.9cos(7.03t).

Therefore, the equation describing the motion of the mass is x = 5.9cos((2π/0.89)t), which gives the position of the mass as a function of time.

To know more about angular frequency refer here:

https://brainly.com/question/30885221#

#SPJ11

determine the velocity of the block at the instant θ=60° if link ab is rotating at 4rad/s

Answers

In order to determine the velocity of the block at the instant θ=60°, we need to use the equation: v = rω. Where v is the velocity of the block, r is the distance between the block and the center of rotation, and ω is the angular velocity of link ab.

At the instant θ=60°, the distance between the block and the center of rotation is the length of link bc, which is given by: bc = 0.3m.

The angular velocity of link ab is given as: ω = 4rad/s.

Therefore, the velocity of the block at the instant θ=60° is: v = bc x ω = 0.3m x 4rad/s = 1.2m/s.

So, the velocity of the block at the instant θ=60° is 1.2m/s.

Read more about the Velocity of block.

https://brainly.com/question/31623770

#SPJ11

10-4. calculate the required diameter for certified-capacity liquid rupture discs for the following conditions. assume a liquid specific gravity of 1.2 for all cases. Liquid flow Set pressure Overpressure Backpressure a. 500 gpm b. 100 gpm c. 5 m/s d. 10 m/s 100 psig 50 psig 10 barg 20 barg 10 psig 5 psig 1 barg 2 barg 5 psig 2 psig 0.5 barg 1 barg

Answers

The required diameter for certified-capacity liquid rupture discs for the given conditions are 6.08 inches for 500 gpm, 3.07 inches for 100 gpm, 1.29 inches for 5 m/s, and 1.60 inches for 10 m/s.

To calculate the required diameter for certified-capacity liquid rupture discs for the given conditions, we first need to determine the burst pressure for each case. The burst pressure is calculated using the following formula:
Burst Pressure = Set Pressure + Overpressure - Backpressure
Using the specific gravity of 1.2 for all cases, we can calculate the burst pressure for each scenario as follows:
a. 500 gpm: Burst Pressure = 100 psig + 50 psig - 10 psig = 140 psig
b. 100 gpm: Burst Pressure = 100 psig + 50 psig - 5 psig = 145 psig
c. 5 m/s: Burst Pressure = 10 barg + 1 barg - 0.5 barg = 10.5 barg
d. 10 m/s: Burst Pressure = 20 barg + 2 barg - 1 barg = 21 barg
Once we have the burst pressure, we can use the specific gravity and the following formula to calculate the required diameter of the rupture disc:
Diameter = (Flow Rate * 60 * Specific Gravity) / (Burst Pressure * 0.8 * 3.14)
Where:
Flow Rate = Liquid flow in gallons per minute (gpm) or meters per second (m/s)
Specific Gravity = 1.2
Burst Pressure = Calculated burst pressure in psig or barg
Using the above formula, we can calculate the required diameter for each scenario as follows:
a. 500 gpm: Diameter = (500 * 60 * 1.2) / (140 * 0.8 * 3.14) = 6.08 inches
b. 100 gpm: Diameter = (100 * 60 * 1.2) / (145 * 0.8 * 3.14) = 3.07 inches
c. 5 m/s: Diameter = (5 * 60 * 1.2) / (10.5 * 0.8 * 3.14) = 1.29 inches
d. 10 m/s: Diameter = (10 * 60 * 1.2) / (21 * 0.8 * 3.14) = 1.60 inches
Therefore, the required diameter for certified-capacity liquid rupture discs for the given conditions are 6.08 inches for 500 gpm, 3.07 inches for 100 gpm, 1.29 inches for 5 m/s, and 1.60 inches for 10 m/s.

To know more about Specific gravity visit:

https://brainly.com/question/31485690

#SPJ11

The heat exchanger in problem 1 is a parallel-flow concentric tube heat exchanger. Hint: note the temperature changes of cold and hot fluids. True or False

Answers

True

The statement suggests that in problem 1, there are temperature changes in both the hot and cold fluids that flow through a parallel-flow concentric tube heat exchanger.

To know more about True refer here

https://brainly.com/question/30615879#

#SPJ11

an excited nucleus emits a gamma-ray photon with an energy of 2.70 mev . part a what is the photon’s energy in joules? express your answer in joules.What is the photon's frequency? Express your answer in hertz.

Answers

The photon's energy in joules is 4.32 x [tex]10^{-13[/tex] J, and its frequency is 6.53 x [tex]10^{20[/tex] Hz.


To convert the energy of the gamma-ray photon from MeV to joules, use the conversion factor:

1 MeV = 1.602 x [tex]10^{-13[/tex] J.

Multiply the given energy by this factor:

2.70 MeV x 1.602 x [tex]10^{-13[/tex] J/MeV = 4.32 x [tex]10^{-13[/tex] J.

To find the frequency, use the Planck's equation:

E = hν,

where

E is energy,

h is Planck's constant (6.63 x [tex]10^{-34[/tex] J s), and

ν is the frequency.

Rearrange the equation to solve for frequency:

ν = E/h.

Substitute the energy in joules: ν = (4.32 x [tex]10^{-13[/tex] J) / (6.63 x [tex]10^{-34[/tex] J s) = 6.53 x [tex]10^{20[/tex] Hz.

For more such questions on frequency, click on:

https://brainly.com/question/254161

#SPJ11

The frequency of the gamma-ray photon is 6.53 x [tex]10^{20[/tex] Hz.

The energy of a gamma-ray photon can be converted from electronvolts (eV) to joules (J) using the conversion factor:

1 eV = 1.602 x [tex]10^{-19[/tex]J

Therefore, the energy of the gamma-ray photon with an energy of 2.70 MeV (mega-electronvolts) can be calculated as follows:

E = 2.70 MeV x 1,000,000 eV/1 MeV x 1.602 x [tex]10^{-19[/tex] J/eV

E = 4.33 x [tex]10^{-13[/tex] J

So the energy of the gamma-ray photon is 4.33 x [tex]10^{-13[/tex] J.

The frequency of the gamma-ray photon can be calculated using the equation:

E = hf

where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J s), and f is the frequency of the photon. Rearranging this equation to solve for f, we get:

f = E/h

Substituting the value of E we just calculated and the value of h, we get:

f = (4.33 x[tex]10^{-13[/tex] J)/(6.626 x [tex]10^{-34[/tex] J s)

f = 6.53 x [tex]10^{20[/tex] Hz

Learn more about Planck's constant here:

https://brainly.com/question/30763530

#SPJ11

true/false. the angle between the incident ray and the reflected ray in a convex mirror is 20o. we can assure that, at that point the normal and the incident ray had a 10o angle.

Answers

False. The angle between the incident ray and the reflected ray in a convex mirror is not necessarily 20º. We cannot assure that at that point, the normal and the incident ray had a 10º angle.

In a convex mirror, the angle of incidence and the angle of reflection are measured with respect to the normal at the point of incidence. According to the law of reflection, the angle of incidence is equal to the angle of reflection. Therefore, if the angle between the incident ray and the reflected ray is 20º, it means that the sum of the angles of incidence and reflection is 20º. However, without more information, we cannot determine the exact angles of incidence and reflection in this scenario. It is not necessarily true that the normal and the incident ray had a 10º angle.

To know more about a convex mirror, click here;

https://brainly.com/question/3627454

#SPJ11

FILL IN THE BLANK the ________ is a permanently-occupied outpost in outer space, and it is an important stepping stone for further space exploration.

Answers

The International Space Station (ISS) is a permanently-occupied outpost in outer space, and it is an important stepping stone for further space exploration.

The International Space Station (ISS) serves as a permanently-occupied outpost in outer space. It is a collaborative project involving multiple space agencies and serves as a crucial platform for scientific research, technological advancements, and international cooperation in space exploration. The ISS provides a unique environment for astronauts to live and work in microgravity conditions, conducting experiments across various fields such as biology, physics, astronomy, and human physiology. It also serves as a testbed for developing technologies and systems required for long-duration space missions, including those aimed at exploring the Moon, Mars, and beyond. The ISS has played a significant role in advancing our understanding of space, fostering international partnerships, and paving the way for future space exploration endeavors.

Learn more about International Space Station here:

https://brainly.com/question/13033832

#SPJ11

Assume last period’s forecast was 35 and the demand was 42.
a. What was the forecast error?
b. What would be the forecast for the next period using an exponential smoothing model with alpha = 0.8? (Round your answer to the nearest whole number.)

Answers

The forecast error is |35 - 42| = 7. Forecast for next period = 0.8 * 42 + 0.2 * 35 = 39.2

The forecast error is calculated by subtracting the actual demand from the forecast, then taking the absolute value of the result. In this case,

To calculate the forecast for the next period using an exponential smoothing model with alpha = 0.8, we use the formula:  Forecast for next period = alpha * (last period's demand) + (1 - alpha) * (last period's forecast)

Substituting the given values, we get: Forecast for next period = 0.8 * 42 + 0.2 * 35 = 39.2

Rounding to the nearest whole number, the forecast for the next period using an exponential smoothing model with alpha = 0.8 is 39.

To know more about whole number, refer here:

https://brainly.com/question/29766862#

#SPJ11

You pull a simple pendulum of length 0.240 m to the side through an angle of 3.50 degrees and release it.a.) How much time does it take the pendulum bob to reach its highest speed?b.) How much time does it take if the pendulum is released at an angle of 1.75 degrees instead of 3.50 degrees?

Answers

The pendulum bob to reach its highest speed is 0.492 s.

A simple pendulum is a mass suspended from a fixed point by a string, which swings back and forth under the influence of gravity.

The time it takes for the pendulum to swing from one extreme to the other and back again (the period) depends on its length and the acceleration due to gravity. The longer the length, the slower the pendulum swings.

In this problem, we are given a simple pendulum of length 0.240 m that is pulled to the side through an angle of 3.50 degrees and released. To find the time it takes for the pendulum to reach its highest speed, we can use the formula for the period of a simple pendulum:

T = 2π√(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

Using the given values, we can find that the period of the pendulum is 0.984 s. Since the time it takes for the pendulum to reach its highest speed is half of the period, the answer is 0.492 s.

If the pendulum is released at an angle of 1.75 degrees instead of 3.50 degrees, the length of the pendulum changes due to the trigonometry of the situation. Using the same formula, but with the new length, we can find the period to be 0.983 s. Therefore, the time it takes for the pendulum to reach its highest speed is 0.491 s, which is slightly shorter than the time for the larger angle.

Know more about pendulum here

https://brainly.com/question/29702798#

#SPJ11

Other Questions
How do we know how many slack variables are in an initial tableau? Part CClose the simulation window for carbon dioxide and return to the Cool Molecules Explore page.Next, click C and H in the periodic table and repeat the process for methane (CH). In the table below, record the names of its vibrational modesand describe the vibration of the molecule in each mode. Also record the number of unique possible states for each mode.Vibration ModeAl stretchE bendT2 stretchT2 bendNumber of States in the:ModeDescription: Write a sql query to return the total number of businesses for each category. your query result should be saved in a table called "query1" which has these attributes: category_id, name, count. Valeria: Bueno, primero, en la maana, fui a mis clases de baile y despus, en la tarde, un amigo me trajo flores1. enter answer2. enter answerValeria: A veces quisiera largarme de esta casa! Y ahora, ni siquiera puedo hablar por telfono. 3. enter answerAntonio: Los tres ramos bien unidos, siempre estbamos juntos. 4. enter answerAntonio: De acuerdo y luego, podemos ir a pasear por la playa. 5. enter answer A patient's far point is 115 cm and her near point is 14.0 cm. In what follows, we assume that we can model the eye as a simple camera, with a single thin lens forming a real image upon the retina. We also assume that the patient's eyes are identical, with each retina lying 1.95 cm from the eye's "thin lens."a.) What is the power, P, of the eye when focused upon the far point? (Enter your answer in diopters.)b.) What is the power, P, of the eye when focused upon the near point? (Enter your answer in diopters.)c.) What power (in diopters) must a contact lens have in order to correct the patient's nearsightedness? .Suppose Ana has a yearly budget of $120 to spend on milk and yogurt. Milk is priced at $2 per gallon, and yogurt is priced at $6 per container.If Ana spends his entire $120 on milk, he can buy _____ gallons of milk. If he spends his entire $120 on yogurt, he can buy _____ containers of yogurt.Plot Ana's budget constraint and shade the area that represents combinations of milk and yogurt that are affordable for Ana. Place a black point on the point on Ana's budget constraint that corresponds to a scenario in which Ana spends $60 on each good.What does the slop of Ana's budget constraint represent?a. The cost of an additional container of yogurt in terms of dollars.b. The cost of an additional gallon of milk in terms of dollars.c. The opportunity cost of an additional container of yogurt in terms of gallons of milk.d. The opportunity cost of an additional gallon of milk in terms of containers of yogurt.Suppose Ana receives $120 from his grandmother and decides to dedicate this money to buy more milk and yogurt. Draw Ana's new budget constraint.True or false: Ana faces the same tradeoff between milk and yogurt. Since the first intelligence quotient (iq) tests, psychologists have found that girls tend to do better than boys on _____, whereas boys tend to do better than girls on _____. Which of following will increase the non-ideal behavior of gases? 1. Increasing system volume II. Increasing system temperature III. Increasing system pressure IV. Increasing the number of gas molecules OIV only O II, III and IV lll and IV O land II Previousplease helpp!! Place the following steps in the expression of the lac operon in the order in which each occurs for the first time after a cell is induced.Sigma protein dissociates from RNA polymerase.A peptide bond is formed between the first two amino acids in galactosidase.A phosphodiester bond is formed between two ribonucleotides.RNA polymerase dissociates from the lacA gene.A repressor dissociates from an operator.A ribosome subunit binds to a transcript. All of the following are common methods of allocating factory overhead costs to products except thea.activity-based costing method.b.average costing method.c.multiple production department factory overhead rate method.d.single plantwide factory overhead rate method. pls help. Learning a language opens doors to a world of opportunity. Of course, in order to really benefit from your studies, youll need to do more than just complete assignments. Youll need to set habits that will tie you to Spanish and its cultures even beyond the classroom. Students who become lifelong learners of Spanish have some basic characteristics and habits that you should develop if you want to get the most from your experience learning Spanish.Lifelong learners:Have friends with whom they regularly converse in the target language. (This could be friends in school, neighbors or friends in the community.)Regularly get information from target language sources (newspapers, magazines, Internet Spanish related news group (with parents approval), TV programs, radio, etc. that are produced by and for native speakers.)Participate in activities of the target culture (celebrating holidays, seeing movies or plays of/in the target culture, preparing or eating dishes from the target culture, reading books or magazines from the target culture, etc.)Someone who has developed these habits is on the way to becoming a lifelong learner. These types of habits reinforce a strong connection to the language and culture and develop a love and better understanding of that culture.Think for a minute about the resources available. Do you have friends who are native Spanish speakers? Do you ever watch Spanish channels on television? You can probably think of several online sources. Maybe you have some stores or restaurants in your community that are owned or frequented by Spanish speakers. Also think about when you could participate in Spanish-related activities on a regular basisremember that its setting the habits that will make the most difference.Using the table below as a guideline, write out a plan for starting new habits. For the Language or Culture Resources column, try to identify three different resources: 1. A friend or contact 2. An information source, and 3. A cultural activity. In the What I Will Do column, describe as specifically as you can what you will do. And in the When I Will Do It column, write when you plan on doing these activities. See the sample below to see how you might fill out your own table.You will have opportunities to follow up and report on your regular practice of engaging Spanish resources close to home. You will be asked in a follow up assignment to report on what you have done. Output TFC 25 25 25 25 25 25 TVC TC 25 50 65 95 MC ATC 25 25 50 32.5 70 110 160 4 33.75 50 What is the marginal cost of the 4th unit of output? My Notes Ask Your Teacher (a) Find parametric equations for the line through (1, 3, 4) that is perpendicular to the plane x-y + 2z 4, (Use the parameter t.) )13-12-4 (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z)-((-1,5,0)|x ) yz-plane (x, y, z)- xz-plane x, 9+ Need Help? Read it Talk to a Tutor Submit Answer Save Progress Practice Another Version Consider the hypothesis test H0: 1= 2 against H1: 1Image for Consider the hypothesis test H0: mu1= mu2 against H1:mu1mu2. Suppose that the sample sizes aren1 = 15 and n2 =2. Suppose that the sample sizes aren1 = 15 and n2 = 15, thatImage for Consider the hypothesis test H0: mu1= mu2 against H1:mu1mu2. Suppose that the sample sizes aren1 = 15 and n2 == 4.7 andImage for Consider the hypothesis test H0: mu1= mu2 against H1:mu1mu2. Suppose that the sample sizes aren1 = 15 and n2 == 7.8 and that s21 = 4 ands22 = 6.25. Assume that21 = 22 andthat the data are drawn from normal distributions. Use =0.05.(a) Test the hypothesis and find the P-value.(b) Explain how the test could be conducted with a confidenceinterval.(c) What is the power of the test in part (a) for a truedifference in means of 3?(d) Assuming equal sample sizes, what sample size should beused to obtain = 0.05 if the true difference in means is -2?Assume that = 0.05. Can you think of any south African words that have become part of standard English in this country in what situation could a party enforce strict performance? When a kitten is born it weighs 1. 5 pounds. After 3 weeks it weighs 3 pounds. When thekitten is 6 weeks old it weighs 7. 5 pounds. What percent weight gain did the kitten growover from the first weight? Crash Airlines provides the following fringe benefits to its employees. For each benefit, state whether or not an accounting entry would be needed at the end of the year to accrue the cost of the benefit. State your justification for each answer.1.Each employee earns two days of paid sick leave for each 160 hours he or she works for the company.2.Each employee is also permitted to fly free of charge on any Crash Airlines flight that is not fully booked with customers. The employee may take as many flights in the course of a year as he or she wishes. Choose the statement that gives the most accurate description of etiquette: a. The rules of etiquette make up a fundamental branch of morality. b. Compliance with the rules of etiquette is by-and-large sufficient for moral conduct. c. Etiquette refers to a special code of social behavior or courtesy. d. The rules of etiquette, with a few exceptions, are nearly all backed by statutory laws. e. Etiquette is largely responsible for the decline of American manufacturing. Unit C, Review Exercise C.038Online Browsing on a Phone A recent study1 shows that 17% of a random sample of 1954 cell phone owners do most of their online browsing on their phone. The standard error for the proportion is 0.0085 . The sample size is large enough to use a normal distribution. 1Smith, A., "Cell Internet Use 2012," Pew Research Center, pewresearch.org, June 26, 2012.(a) Find a 99% confidence interval for the proportion of cell phone owners who do most of their online browsing on their phone. Round your answers to one decimal place. The 99% confidence interval is ____ % to _____ % .(b) Use a normal distribution to test whether there is evidence that the proportion is greater than 0.15 .State the null and alternative hypotheses.(c) Give the test statistic and the p -value and state the conclusion of the test. Round your answer for the test statistic to two decimal places and your answer for the p -value to three decimal places.Test statistic = _____p -value = _____Conclusion: Reject or do not reject H0?