Answer:
a) m =1 θ = sin⁻¹ λ / d, m = 2 θ = sin⁻¹ ( λ / 2d) , c) m = 3
Explanation:
a) In the interference phenomenon the maxima are given by the expression
d sin θ = m λ
the maximum for m = 1 is at the angle
θ = sin⁻¹ λ / d
the second maximum m = 2
θ = sin⁻¹ ( λ / 2d)
the third maximum m = 3
θ = sin⁻¹ ( λ / 3d)
the fourth maximum m = 4
θ = sin⁻¹ ( λ / 4d)
b) If we take into account the effect of diffraction, the intensity of the maximums is modulated by the envelope of the diffraction of each slit.
I = I₀ cos² (Ф) (sin x / x)²
Ф = π d sin θ /λ
x = pi a sin θ /λ
where a is the width of the slits
with the values of part a are introduced in the expression and we can calculate intensity of each maximum
c) The interference phenomenon gives us maximums of equal intensity and is modulated by the diffraction phenomenon that presents a minimum, when the interference reaches this minimum and is no longer present
maximum interference d sin θ = m λ
first diffraction minimum a sin θ = λ
we divide the two expressions
d / a = m
In our case
3a / a = m
m = 3
order three is no longer visible
(a) The next four angles from the central maxima are sin⁻¹ λ / d, sin⁻¹ λ / 2d , sin⁻¹ λ / 3d, and sin⁻¹ λ / 4d respectively.
(b) With the values of part a are the expression of intensity of each maximum can be calculated accordingly.
(c) The third order maxima (m = 3) is missing from the pattern obtained through the double-slit experiment.
a)
In the interference phenomenon the maxima are given by the expression
d sin θ = m λ
Here,
d is the slit separation and m is the order of interference.
The maximum for m = 1 is at the angle is,
θ = sin⁻¹ λ / d
For the second maximum m = 2
θ = sin⁻¹ ( λ / 2d)
For the third maximum m = 3
θ = sin⁻¹ ( λ / 3d)
For the fourth maximum m = 4
θ = sin⁻¹ ( λ / 4d)
Thus, we can conclude that the next four angles from the central maxima are sin⁻¹ λ / d, sin⁻¹ λ / 2d , sin⁻¹ λ / 3d, and sin⁻¹ λ / 4d respectively.
b)
Considering the effect of diffraction, the intensity of the maximums is modulated by the envelope of the diffraction of each slit.
I = I₀ cos² (Ф) (sin x / x)²
Where Ф is the phase angle, and its value is,
Ф = π d sin θ /λ
x = π a sin θ /λ
Here a is the width of the slits
Thus, with the values of part a are introduced in the expression the intensity of each maximum can be calculated accordingly.
c)
The interference phenomenon gives us maximums of equal intensity and is modulated by the diffraction phenomenon that presents a minimum, when the interference reaches this minimum and is no longer present.
For the maximum interference:
d sin θ = m λ
For the first diffraction minimum:
a sin θ = λ
Dividing both the expressions as,
d / a = m
Since, d = 3a. Then,
3a / a = m
m = 3
Thus, we can conclude that the third order maxima (m = 3) is missing from the pattern obtained through the double-slit experiment.
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A child in a boat throws a 6.6kg package out horizontally with a speed of 10.2m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 29.9kg, and that of the boat is 44.7kg. Ignore water resistance.
Answer:
[tex]-0.902 \frac ms[/tex]
Explanation:
We apply conservation of momentum here. Before the toss, everything was still, so the momentum was 0. After the toss, we have the sum of the momentum of the package (1st term) and the boat+child combo (2nd term). Let's call v the velocity of the boat.
[tex]0= 6.6kg \cdot 10.2\frac ms + (29.9+44.7)kg\cdot v\\v= - \frac{6.6 \cdot 10.2 }{74.6} \frac ms \approx -0.902 \frac ms[/tex]
The term is negative since it expresses the boat+child system is going the opposite way from where the package flew.
-- can some someone please help ----How far did the object move between 0 and 20 s?
m____________
If 2 J of wok is done in raising a 180 g red delicious apple to bring it to your mouth to take a bite of the apple, how far is it lifted?
Answer:
Most likely 2ft
Explanation:
Your arm aint that long
How does
friction affect the motion of
two objects sliding past
each other
Friction affects the motion of two objects sliding past each other. This frictional force results into the loss of energy and hence slow down the motion of the two objects in contact.
What is the Frictional force?Frictional force is the force that is resisting the relative motion of solid surfaces, fluid layers, and the two material elements which are sliding against each other. There are several types of friction such as dry friction, it is a force that opposes the relative lateral motion of the two solid surfaces which are in contact.
Frictional force generates when the two surfaces slide past one another in motion. The force of friction opposes the motion of an object which is in contact, causing the moving objects to lose energy and slow down. The frictional force is important as it helps us in walking, driving a car, and in doing other works.
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We can talk about the amountofpotential energy per unit chargeas a function of locationâwe use the term voltageto describe this.A voltage difference between two locations results from the presence of an electric field. The more work the field can do in moving thecharge from point A to point B, the higher the voltageof point A is relative to point B.
Required:
a. Describe and draw the electric field between two large, oppositely charged plates.
b. Electric potentialis completely analogous to an object being dropped off of a building. The higher the building, the more potential energy the object has. Make a sketch of the ground and a building anddraw lines that indicate constantpotential energyof an object.
c. On your sketch for part a, draw lines of constant potential (these are called equipotentiallines). It may help to imagine placing a positive charge between the plates. It will accelerate toward the negative plate and run into it. Regardless of where you place the charge on an equipotential line, itâll hit the negative plate with the same speed.
Answer:
potential lines that are perpendicular to the electric field, they must be parallel to the plates
Explanation:
A and C) for this drawing, as the electric field lines go from the positive plate to the negative plate and are horizontal to the potential lines that are perpendicular to the field, they must be parallel to the plates, see attached part a
B) in this case the ground has an energy of zero and the lines are parallel to the ground, see attached part b
A compact car can climb a hill in 10 s. The top of the hill is 30 m higher than the
bottom, and the car's mass is 1,000 kg What is the power output of the car?
Answer:
29.4 kW
Explanation:
time t = 10 s, height h = 30 m, mass m = 1,000 kg
power output = work done/time
work done = increase in potential energy = mgh = 1,000 * 9.8 * 30 = 294,000 J = 294 kJ
power output = 294/10 = 29.4 kW
ANSWER PLS
Heat moves from the land to the air through the process of
conduction
convection
radiation
refraction
Answer:
Conduction
Explanation:
conduction is one of the three main ways that heat energy moves from place to place the other two ways heat moves around our radiation and convection conduction is the process by which heat energy is transmitted through Collisons between neighboring atoms or molecules.
hope this helps :)
Answer:
A
Explanation:
find the kenitic energy before and after the collision
Answer:
The total system kinetic energy before the collision equals the total system kinetic energy after the collision. If total kinetic energy is not conserved, then the collision is referred to as an inelastic collision.
Explanation:
Initial kinetic energy KE = 1/2 m1v12 + 1/2 m2v22 = joules. The following calculation expects you to enter a final velocity for mass m1 and then it calculates the final velocity of the other mass required to conserve momentum and calculates the kinetic energy either gained or lost to make possible such a collision.
An object with a mass of 9 kg weighs 33.3 N on Mars. What is the acceleration due to Mar's gravity?
O 1.6 m/s^2
O 9.8 m/s^2
O 3.7 m/s
O 8.9 m/s
Answer:
3.7m/s^2
Explanation:
Weight (W)= mass (m) x acceleration due to gravity (g)
therefore
g = W/mg
g = 33.3/9
9 = 3.7m/s^2
A 100V battery connected to two oppositely charged plates that are 10cm apart.
a. What is the magnitude of the electric field?
b. What is the electric force exerted on a +200uC ?
Answer:
Work to move unit charge from one plate to the other separated by d
W = E q d
Electric potential: V = W / q
E = V / d = 100 Volts / .1 m = 1000 Volts / m
F = E q = 1000 Joule / C m * 2 * 10E-4 C
F = .2 J / m = .2 N
According to The first law thermodynamics Energy can be created and destroyed, True or False? 
Answer:
False
Explanation:
energy in terms I've heard at least energy cannot be created or destroyed
Forces in action worksheet. Need help with this, it's due tomorrow by 8:30am, please help! If you do the bottom 2 for me as well, I will mark brainliest :)
Question 3 of 10
What happens to the resistance of a wire as its length decreases?
A. The resistance alternates between high and low values.
B. The resistance increases
ОО
C. The resistance is not affected by a change in wire length.
O D. The resistance decreases.
SUBMIT
B
The resistance of a wire is directly proportional to length of wire. Hence the more the length of wire, the more its resistance.
Can someone pls help ASAP:(
If the man has a mass of 90kg, where would he experience greater gravitational force? On Earth or Moon? Calculate and explain
Answer: You feel the gravitation on the Earth greater
Explanation:
Because the mass of the Earth is heavier than the Moon, you can replace specifi number of the weight of the Moon and the man compare the weight of the Earth and the man into the formula!
PLEASE HELP WILL GIVE BRAINLIEST
A cheetah can run at instantaneous speeds of 64 km/hr or 17.8 m/sec. How much time does it take a cheetah to run 2 m?
0.1 seconds
0.1 m/s
35.6 seconds
0.03 seconds
PLEASE HELP QUICKLY
Jason shoots a nerf dart at 13 m/s horizontally, while Jake drops
same time. Which dart hits the ground first?
O Jason's
O Jake's
O There is not enough information to know
They both hit at the same time
Answer:
they both hit at the same time
Read the following selections from the section "Mickey Guyton's Star-Spangled Banner."
The Grammy Award-nominated country singer delivered a soaring, emotional version of the anthem largely on bet
own. A small choir and piano later joined her.
Guyton did not appear to drop or flub any words. She wore a royal blue gown.
What conclusion is BEST Supported by the selections?
A- Mickey Guyton has performed at some of the previous Super Bowls.
B- Mickey Guyton spent a great deal of time practicing for her performance.
C- Mickey Guyton was nervous about singing the national anthem mostly on her own.
D- Mickey Guyton put her personal touch on an anthem that came off without a hitch.
Answer:
C
Explanation:
Calculate the displacement and then velocity for an object 12.77s after it is dropped.
Answer:
799 m
125 m/s
Explanation:
Take down to be positive. Given:
v₀ = 0 m/s
a = 9.8 m/s²
t = 12.77 s
Find: Δy and v
Δy = v₀ t + ½ at²
Δy = (0 m/s) (12.77 s) + ½ (9.8 m/s²) (12.77 s)²
Δy ≈ 799 m
v = at + v₀
v = (9.8 m/s²) (12.77 s) + 0 m/s
v ≈ 125 m/s
A 10,000 kg freight car moving at 2 m/s collided with a stationary 30,000 kg freight car. The two cars couple together and move off at what speed?
Answer:
Explanation:
Momentum conservation:
10,000 x 2 = (10,000 + 30,000) x v
so
v = 0.5 m/s
The speed after collision will be = 0.5m/s
What is conservation of momentum ?The conservation of momentum states that the amount of momentum remains constant , momentum is neither be created nor be destroyed but only changes through the actin of forces as described by newton's law of motion
since , momentum should be conserved before and after the collision
so , from momentum conservation we can write ,
m1 = mass of moving freight car = 10000kg
v1 = speed of moving freight car = 2m/s
m2 = mass of stationary freight car = 30000 kg
v2 = speed of stationary freight car = 0 (since , at rest )
M = mass of coupled cars after collision
V = velocity coupled cars after collision
momentum before collision = momentum after collision
m1*v1 + m2*v2 = MV
10000 * (2) + 30,000 * 0 = (10000 + 30000) V
20000 = 40000V
V = 0.5 m/s
The speed after collision will be = 0.5m/s
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does a radio wave have a high or low frequency
Answer:
Low
Explanation:
Radio waves have photons with the lowest energies.
What do you think you could do to help prevent or stop cyberbullying? List at least two ideas.
Answer:
1. You can block the person bullying you.
2. Tell an adult about whats going on.
3. Try to stay off any social media apps. (turn off all notifications)
4. Don't respond to any of the comments or post. (Ignore them)
Explanation:
Hope this helps.
Describe how a sound wave travels through a medium to create sound.
A soundwave will go through a medium but once it goes through, the sound that you hear is muffled or not as clear usually just like sound going through a wall. The soundwaves will be something like moved and the sound you hear might not be the same or as clear as the original sound was
Answer:
sound waves
Explanation:
The sound waves can go through different mediums depending on the crest and trough
what does the area between the line and the x axis represent on a velocity vs time graph
the area bounded by the line and the axes of a velocity-time graph is equal to the displacement of an object during that particular time period
Thank you
The area between the line and the x axis represent on a velocity vs time graph is the displacement.
The area under velocity-time graph is known as displacement.
In velocity-time graph, the y-axis represents the velocity axis while the x-axis represents the time axis.
Velocity is defined as the change in displacement per change in time.
[tex]v = \frac{dx}{dt}[/tex]
where;
[tex]dx[/tex] is the change in displacement[tex]dt[/tex] is the change in timeThe integration of the velocity gives the area under the curve and that will be equal to the displacement.
[tex]\int\limits^a_b {v} \, dt = x[/tex]
Thus, the area between the line and the x axis represent on a velocity vs time graph is the displacement.
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A 2-kg ball is moving with constant speed of 5 m/s in a horizontal circle whose radius is 50 cm. What is the magnitude of the net force on the ball
For a 2-kg ball moving with a constant speed of 5 m/s in a horizontal circle whose radius, the magnitude of the net force on the ball is 50 cm. is mathematically given as
F= 100 N
What is the magnitude of the net force on the ball?Generally, the equation for the Net force is mathematically given as
F = m*r*w^2
Where
w = angular velocity
w= 5/r
w= 10 rad/s
Therefore
F = 2/0.5/10^2
F= 100 N
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An ideal fluid is moving at 3.0 m/s in a section of a pipe of radius 0.20 m. If the radius in another section is 0.35 m, what is the flow speed there
The flow speed of the fluid in the second section of the pipe is 0.98 m/s
What is flow speed?Flow speed is the rate at which the distance of a fluid changes with respect to time as it moves in a pipe.
To calculate the flow speed in the second section, we use the formula below.
Formula:
AV = A'V'............ Equation 1Where:
A = Cross-sectional area of the first section of the pipeV = Velocity of fluid in the first section of the pipeA' = cross-sectional area in the second section of the pipeV' = Velocity of fluid in the second section of the pipe.Make V' the subject of the equation
V' = AV/A'......... Equation 2From the question,
Given:
A = πR² = 0.04π m²V = 3 m/sA' = πr² = (0.35²×π) = 0.1225π m²Substitute these values into equation 2
V' = 3(0.04π)/(0.1225π)V' = 0.98 m/sHence, The flow speed of the fluid in the second section of the pipe is 0.98 m/s
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Can someone pls help ! I’m sorry it’s small
Answer:
The velocity time graph which shows a negative constant velocity (horizontal line below the horizontal axis) Labeled as Graph #2
Explanation:
Notice that the position-time graph shows the position decreasing in the form of a line with negative slope. Recall that the velocity graph is associated with the change in position with time, and this change in position is in the form of a line of constant negative slope. The slope of the position-time graph is in fact the velocity of the object, which therefore is negative and constant.
Such behavior is represented by the graph labeled as Graph 2 of a constant (horizontal) line below the horizontal axis.
What causes the shock you receive from when you touch a doorknob?
Neutrons being pulled from one
surface to another
Protons being pulled from one surface to another
Electrons being pulled from one surface to another
Positrons being pulled from one surface to another
Answer:
Electrons being pulled from one surface to another
Explanation:
The movement of electrons creates electrical charge.
A boy pulls a wagon with an applied force of 40 N on frictionless surface. If the mass of the wagon is 13kg, what is the acceleration of the wagon?
Answer:
3.1 m/s²
Explanation:
Apply Newton's second law:
∑F = ma
40 N = (13 kg) a
a ≈ 3.1 m/s²
In size, composition, and color, which other planet is Saturn most like?
A) Jupiter
B) Earth
C) Venus
D) Mercury