To maintain the same interference pattern spacing as the first experiment with a slit separation of 4.5 mm, the new screen-to-slit distance should be 1.5 m in the second experiment.
In Young's double-slit experiment, the formula for the spacing between adjacent bright or dark fringes is given by:
y = (λ * L) / d
Where:
y is the fringe spacing (distance between adjacent bright or dark fringes)
λ is the wavelength of the light
L is the distance from the slits to the screen
d is the slit separation
In the first experiment, with a slit separation of 4.5 mm and a distance of 3.0 m to the screen, the fringe spacing can be calculated as follows:
y1 = (700 nm * 3.0 m) / 4.5 mm
Now, in the second experiment, we want to maintain the same interference pattern spacing (fringe spacing). Let's assume the new screen-to-slit distance is L2. The new slit separation is given as 9.0 mm. The fringe spacing in the second experiment can be calculated as:
y2 = (700 nm * L2) / 9.0 mm
Since we want the fringe spacing to remain the same, we can set y1 equal to y2:
(700 nm * 3.0 m) / 4.5 mm = (700 nm * L2) / 9.0 mm
We can solve this equation for L2:
L2 = (3.0 m * 4.5 mm) / 9.0 mm
Calculating this expression:
L2 = 1.5 m
Therefore, to maintain the same interference pattern spacing as the first experiment with a slit separation of 4.5 mm, the new screen-to-slit distance should be 1.5 m in the second experiment.
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Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y
The wavelength of the interfering waves is 3.14 m.
Calculation:The general equation of a standing wave is given by:
y = 2A sin (kx) cos (ωt) ......(1)
The given equation represents the standing wave produced by the interference of two harmonic waves:
y = 3 sin (2x) cos 5t .......(2)
Comparing equations (1) and (2):
k = 2
We know that,
k = 2π/λ
λ = 2π/k
λ = 2 (3.14)/ 2
λ = 3.14 m
Therefore, the wavelength of the interfering waves is 3.14 m.
I understand the question you are looking for is this:
Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin (2x) cos 5t where x is in m and t is in s. What is the wavelength of the interfering waves?
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an object has a mass of 50kg, a final height of 20m and an initial height of 8m. what is the amount of work done
amount of work done is 5880 J
Given:
mass of object = 50kg
Final height = 20m
initial height = 8m
To Find:
amount of work done
Solution:
work is done when a force acts upon an object to cause a displacement. You can calculate the energy transferred, or work done, by multiplying the force by the distance moved in the direction of the force.
The work done by gravity is given by the formula,
W = mgh
W = 50 x 9.8 x ( 20-8)
= 5880 J
So the work done is 5880 J
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A parallel plate capacitor fully charged to voltage V is connected to the battery (the voltage on the plates remains fixed). If the plates are pulled away from each other, how would it affect the charge on the capacitor
Charge will decreases.
A parallel plate capacitor when it is fully charged to voltage V is given as:
C = Q/V
The capacitance of parallel plate capacitor with two plates of Area A separated by distance d and no dielectric material between plates is
C = ε₀ A /d
since from above equation it shows C is proportional to Q and also C is inversely proportional to distance d.
So, ATQ when d increases C will decrease which in result decreases charge on the capacitor.
Thus, Charge will decrease.
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Cindy's eye exam reveals that the reason she cannot get a sharp focus is that she has ___, an uneven curvature of the cornea or lens that prevents a sharp focus of an image on her retina.
Answer: Cindy's eye exam reveals that the reason she cannot get a sharp focus is that she has Astigmatism, an uneven curvature of the cornea or lens that prevents a sharp focus of an image on her retina.
Explanation: To find answer, we need to know more about the Astigmatism.
What is astigmatism?It is the defect of vision in which a person cannot simultaneously see both the vertical and horizontal views of an object with the same clarity.It is due to the irregular curvature of cornea, or the lens prevents a sharp focus of an image on retina.It can be corrected using a cylindrical lens.Thus, from the above explanation, we can conclude that, the reason she cannot get a sharp vision is due to Astigmatism.
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1. Determine the energy released per kilogram of fuel used.
Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mole of plutonium-239 to be a mole of “reactions” (molar mass = 239 grams).
2. Determine the mass of fuel required for the expected energy consumption in the United States for the next 10 years.
Energy use per person per year in the United States = 3.5 × 1011 joules.
Base your calculations on a current population of 310,000,000.
The formula for energy release per kilogram of fuel burned is energy release per kg=6.702*10-13. and 19. J 1 Mev = 1.602 X 10 T
Calculate the energy in joules per kilogram of reactants given MeV per reaction. Energy is the ability or capacity to perform tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.
Think of a mole of plutonium-239 (molar mass: 239 grams) as a mole of "reactions."
Energy used in the US per person annually = 3-5 X 1011
Population (number of people) = 3.108The required mass of the fuel is 3.5x1011 x3-1x10 8x 10)/6.703 X1013 kg. the mass required: 1.62 x 1033 kg Mev in Joules 6 is equal to 101.60*I0-
19. J 1 Mev = 1.602 X 10 T, which translates to 1.602*1013/2.39x10-3 energy release per kilogram, or 6.702*10-13.
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Which of the following is correct? Multiple Choice When AP is rising, MC is falling, and when AP is falling, MC is rising. When MP is rising, MC is falling, and when MP is falling, MC is rising. There is no relationship between MP and MC. When MP is rising, MC is rising, and when MP is falling, MC is falling.
The statement which is correct is that when MP is rising MC is falling, and when MP is falling MC is rising and is denoted as option B.
What is MP?This is referred to as marginal product and is referred as the extra output derived as result of additional inputs.
MC on the other hand is known as marginal cost and they have an inverse relationship such that when MP is rising , MC is falling and vice versa thereby making it the most appropriate choice.
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An ordinary flashlight battery has a potential difference of 1.2 V between its positive and negative terminals. How much work must you do to transport an electron from the positive terminal to negative terminal
The work done to transport an electron from the positive to the negative terminal is 1.92×10⁻¹⁹ J.
Given:
Potential difference, V = 1.2 V
Charge on an electron, e = 1.6 × 10⁻¹⁹ C
Calculation:
We know that the work done to transport an electron from the positive to the negative terminal is given as:
W.D = (Charge on electron)×(Potential difference)
= e × V
= (1.6 × 10⁻¹⁹ C)×(1.2 V)
= 1.92 × 10⁻¹⁹ J
Therefore, the work done in bringing the charge from the positive terminal to the negative terminal is 1.92 × 10⁻¹⁹ J.
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A mass m is attached to an ideal massless spring. When this system is set in motion, it has a period t. What is the period if the mass is doubled to 2m?.
The period is √2 *T if the mass is doubled to 2m.
What is the time period?
The time period is the length of time during which an activity occurs or a condition remains.
The equation for the period T is given as:
[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]
where k is the spring constant
mass of the system = m
Here,
If the mass id doubled to 2m for the system that is set in motion,
new mass is now 2m
So the equation for time period becomes,
[tex]T' = 2\pi \sqrt{\frac{2m}{k} }[/tex]
[tex]T' = \sqrt{2} * 2\pi \sqrt{\frac{m}{k} }[/tex]
[tex]T' = \sqrt{2}* T[/tex]
Hence,
The period is √2 *T if the mass is doubled to 2m.
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A new ride being built at an amusement park includes a vertical drop of 126.5 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg, how much potential energy was converted into thermal energy (heat)
The energies which is converted into thermal energy is
2280.9 × 10^4 J
According to the question when the ride will go upward then there will a potential energy acquired and when it comes down then kinetic energy starts to increase. since, the ride is starting from rest then kinetic energy will be maximum at lowest. So, now we will calculate P.E and K.E at various points.
Potential Energy at top when the vertical drop is 126.5 m is given as- P.E = m ×g× h
= 3.5 × 10^4 × 9.8 × 126.5
= 4338.95 × 10^4 J
Kinetic Energy at bottom when ride has velocity of 10 m/s then it is
given as -
K.E = 1/2 mv²
= 1/2 × 3.5×10^4 × 10²
= 175 × 10^4 J
Now the energy which converted to thermal energy is given as:
Thermal energy = Potential energy - kinetic energy
= 2455.9 × 10^4 - 175 × 10^4
= 2280.9 × 10^4 J
Thus, the ride Potential energy was converted to thermal energy is 2280.9 × 10^4 J.
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A 2.50 × 105 w motor is used for 26.4 s to pull a boat straight toward shore. how far does the boat move toward shore if a force of 4.20 × 104 n is applied by the motor? 157 m 1,590 m 1.11 × 106 m 6.60 × 106 m
The distance travelled by the boat towards shore if a force of 4.20x10⁴N is applied is 157.14 m.
Power is a unit of measurement for the amount of work completed in a particular period of time; it may be computed using both work and time. Divide the amount of work by the length of time it takes to do the work to find power. The unit of work is the joule. The unit of power measurement is known as joules of work per second.
The power of the motor = 2.50x10⁵ W
= 2.50x10⁵ N m/s
The time it takes to pull the boat = 26.4 s
The force applied = 4.20x10⁴ N
Using the formula;
[tex]d = \frac{Pt}{F}[/tex]
where,
P = Power
t = Time taken
F = Force applied
d = Distance travelled
The distance traveled by the boat = 2.50x10⁵ N m /s (26.4 s) /(4.20x10⁴ N)
=157.14 m
Therefore, the distance travelled by the boat if a force of 4.20x10⁴N is applied is 157.14 m.
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The hypothetical upper limit to the mass a star can be before it self-destructs due to the massive amount of fusion it would produce. Stars over this limit tend to be surrounded by massive nebulae of material blasted off of their surfaces.
The hypothetical upper limit to the mass a star can be before it self-destructs due to the massive amount of fusion it would produce is apparently as a result of Eddington luminosity
What are stars?Stars are a fixed luminous point in the sky which is a large and remote incandescent body
So therefore, the hypothetical upper limit to the mass a star can be before it self-destructs due to the massive amount of fusion it would produce is apparently as a result of Eddington luminosity
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What is kinetic energy? A. stored energy B. the energy of motion C. the energy of light D. the energy at the top of a roller coaster
Answer:
B. the energy of motion
Explanation:
Energy of motion. Kinetic energy is essentially the release of potential energy which is when an object has the potential to do work, due to it's position or molecular composition.
An object is at a position of 15 cm from a diverging lens with a virtual focal point of 8 cm. The location of the image is
Answer: The location of the image is -5.2cm
How does the fur of the polar bear help it to live in the arctic region?
Answer:
It has 2 uses
1. Polar bears have white fur so that they can camouflage into their environment. Their coat is so well camouflaged in Arctic environments that it can sometimes pass as a snow drift.
2. They have a thick layer of body fat, which keeps them warm while swimming, and a double-layered coat that insulates them from the cold Arctic air.
The path of a charged particle moving parallel to a uniform magnetic field will be a:______.
The path of a charged particle moving parallel to a uniform magnetic field will be straight line
Force on a charged particle moving in a magnetic field can be calculated by = q.(v*B )
q = charge of the particle
v = velocity of the particle
B = magnetic field
theta = angle between v and B
q . (v B sin (theta) )
Since, particle is parallel to the magnetic field
hence , theta = 0°
so sin(theta) = sin 0° = 0
hence , force = 0
since , there is no force acting on the particle it will remain in that motion in hat it was when it initially came in the magnetic field . Hence It will be moving along a straight line path because the magnetic force on the charged particle is zero.
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A loop rests in the plane of a page of textbook while a magnetic field is directed into the page. A clockwise current is induced.
(b) when the magnetic field gets stronger.
correct option :
When a loop rest in the plane of the page and magnetic field is directed into the page then we will apply here right hand thumb rule in which thumb represent the direction of magnetic field and curling fingers represent direction of induced current. So, in this case the direction of magnetic field is into the page and curling fingers shows induced current in clockwise direction.
Thus, option (b) is correct.
Incorrect options:
option (A) is incorrect because when magnetic field will change
according to flux.
option (C) is incorrect because field is stronger so it does not matter
size of loop increases or decreases.
option (D) is incorrect because it moves any other side the field will be
stronger.
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[Your question is incomplete, but most probably your full question was-Check all that apply:
A. when the magnetic field is tilted so it is no longer perpendicular to the page
B. when the magnetic field gets stronger
C. when the size of the loop decreases
D. when the loop is moved sideways across the page]
Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is
meters per minute. One kilometer is the same as 1,000 meters.
Answer:
200 m / min
Explanation:
Total distance = 2000 m
Total time = 2+4+1+3 = 10 minutes
Average speed = 2000 m / 10 min = 200 m/min
The decomposition of H2O2 is a first-order reaction given by the formula: Rate = k [H2O2]1. How would the reaction rate be affected if the H2O2 concentration were double its original value?
Answer: The decomposition of H₂O₂ is a first-order reaction. Then, the reaction rate will be 2 times the original rate, if we double its concentration value.
Explanation: To find the answer, we need to know about the decomposition of H₂O₂.
What is the rate of reaction, if we double the concentration of H₂O₂?We have the equation of decomposition of H₂O₂ as,2H₂O₂→ 2 H₂O+ O₂
We have given that, the equation of reaction rate of the first order reaction as,Rate = k [H₂O₂]1
As we know that the equation of reaction rate is,Rate = rate constant × concentration of [H₂O₂]
Thus, by comparing both the equations, we get,rate constant=k and the concentration of [H₂O₂] = 1[H₂O₂].
Given that the concentration is doubled. Then the expression for rate will be,Rate = 2k [H₂O₂].
Thus, we can conclude that the rate of reaction will be 2 times the initial rate if we double the concentration.
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If we double the concentration value, the reaction rate will be twice as fast as before.
In order to determine the solution, we must understand how H2O2 breaks down.
If we double the concentration of H2O2, what will happen to the reaction rate?The formula for the breakdown of H2O2 is,2H₂O₂→ 2 H₂O+ O₂
We have provided the first order reaction's reaction rate equation as,Rate = [H2O2] k
As we are aware, the reaction rate equation isRate = rate constant × [H2O2] concentration
As a result, by comparing the two equations, we obtain, rate constant is k, and the [H2O2] concentration is 1 [H2O2].The concentration has doubled as a result. Afterward, the rate expression will be,Rate = [H2O2] 2k.
As a result, we can infer that doubling the concentration will cause the reaction rate to double.
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A person performs a bench press. The bar's mass is 40 kg. When this person's arms are extended, the bar is 0.6 m above the starting point. How much work did the person do to push the bar off his chest to full extension of his arms
The work done by the person is 235.2 J.
Work done by the person
The work done by the person is calculated as follows;
W = mgh
where;
m is mass of the barheight through which the bar is raisedW = 40 x 9.8 x 0.6
W = 235.2 J
Thus, the work done by the person is 235.2 J.
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To lower the risk of a collision, you should keep at least __________ of space to one side of your vehicle at all times.
One must keep one car width of space to side of vehicle to avoid collision.
What is collision?
Collision is the sudden striking of two bodies that exerts forces on each other thus acelerating the objects in relatively very short time. One must maintain atleast one car width of space to side of vehicle to lower the risk of collision. If the space is lower than one car width than you should lower the speed of car to avoid collision.
One can also follow the two second disciple to avoid collision. According to this rule, the car should maintain two second safe distance behind any other vehicle .It acts as a safety buffer or defensive mechanism to avoid the risk of collision at all times at any speed. Also according to impulse momentum change theorem, the force on each object can be minimized by maintaing more distance. As force and time are inversely proportional in collision.
Therefore, one car width distance is the safest minimum distance to avoid risks of collision .
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An ideal ammeter would have zero resistance while an ideal voltmeter would have infinite resistance, why?.
Answer: An ideal ammeter would have zero resistance, because to ensure that, there is no voltage drop due to the internal resistance. Similarly, an ideal voltmeter would have infinite resistance, because to ensure that there is no current is drawn by the voltmeter.
Explanation: To find the answer, we need to know about the Ammeter and Voltmeter.
What is an ammeter?An ammeter is a device, that can be used to measure the electric current flows through a circuit in amperes.An ideal ammeter would have zero resistance, because to ensure that, there is no voltage drop due to the internal resistance when it is connected in series to measure the current.What is voltmeter?A voltmeter is a device, that can be used to measure the electric potential difference generated between the terminals of an electric circuit in volts.An ideal voltmeter would have infinite resistance, because to ensure that there is no current is drawn by the voltmeter, when it is connected in parallel to measure the voltage.Thus, we can conclude that, an ideal ammeter would have zero resistance, because to ensure that, there is no voltage drop due to the internal resistance. Similarly, an ideal voltmeter would have infinite resistance, because to ensure that there is no current is drawn by the voltmeter.
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What is the angular momentum of the moon around the earth? the moon’s mass is 7.4 * 1022 kg and it orbits 3.8 * 108 m from the earth.
The angular momentum of the moon around the earth is 2.92 * [tex]10^{34}[/tex] kg [tex]m^{2}[/tex]/s
Angular momentum a vector quantity that is a measure of the rotational momentum of a rotating body or system, that is equal in classical physics to the product of the angular velocity of the body or system and its moment of inertia with respect to the rotation axis, and that is directed along the rotation axis.
m (mass of moon ) = 7.4 * [tex]10^{22}[/tex] kg
orbit = 3.8 * [tex]10^{8}[/tex] m
L = I ω
= m [tex]r^{2}[/tex]ω
= 7.4 * [tex]10^{22}[/tex] * [tex](3.8 *10^{8} )^{2}[/tex] * (2π / 27 * 24 * 3600)
= 2.92 * [tex]10^{34}[/tex] kg [tex]m^{2}[/tex]/s
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A population distribution shows _______. a. the distribution of age groups within a population b. the amount of organisms in a unit area c. the total number of organisms in a population d. where and in what arrangement organisms are located Please select the best answer from the choices provided A B C D
The answer would be D where and in what arrangement organisms are located.
When driving on a highway, sudden strong cross wind gusts: Select one: a. Do not affect a car as much as a strong head wind b. Affect large cars more than small cars c. Always cause severe dust problems d. Can move a car sideways into another lane
When driving on a highway, sudden strong cross wind gusts move a car sideways into another lane (option D).
What is a crosswind?A crosswind is a wind blowing across a line of travel.
Accidents have been reported to be caused by strong winds and can cause heavy distractions that will cause the driver to lose control.
However, a strong and sudden crosswind will cause the car to move sideways into another lane, and can lead to severe accident.
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what happens as a planet approaches the perihelion of its orbit around the sun?
the planet approaches to it's highest velocity
Since the Sun is not at the center of an elliptical orbit, the planet moves closer towards and further away from the Sun as it orbits.
What happens as a planet approaches the perihelion of its orbit around the sun ?The place where the planet is closest to the Sun is called perihelion. When the planet is furthest away from the Sun, it is at aphelion.
The words "aphelion" and "perihelion" come from the Greek language. In Greek, "helios" mean Sun, "peri" means near, and "apo" means away from.When Earth is at perihelion, it is about 147 million km (91 million miles) from the Sun. When it is at aphelion, it is 152 million km (almost 95 million miles) from the Sun.Learn more about Perihelion here:
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A player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory
At the highest point in its trajectory, the ball's acceleration is zero but its velocity is not zero.
What's the velocity of the ball at the highest point of the trajectory?At the highest point, the ball doesn't go more high. So its vertical velocity is zero.However, the ball moves horizontal, so its horizontal component of velocity is non - zero i.e. u×cosθ. u= initial velocity, θ= angle of projectionWhat's the acceleration of the ball at the highest point of projectile?During the whole projectile motion, the earth exerts the gravitational force with a acceleration of gravity along vertical direction. But as there's no acceleration along vertical direction, so the acceleration along vertical direction is zero.Thus, we can conclude that the acceleration is zero and velocity is non-zero at the highest point projectile motion.
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory
A- neither the ball's velocity nor its acceleration are zero.
B- the ball's acceleration points upward.
C- the ball's acceleration is zero but its velocity is not zero.
D- the ball's velocity points downward.
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A 75.0-kg man standing on a bathroom scale in an elevator. Calculate the scale in N, reading if the elevator moves upward at a constant speed of 1.5 m/s
A 75.0-kg man standing on a bathroom scale in an elevator, if the elevator moves upward at a constant speed of 1.5 m/s then the scale in N will be 885N accordance with Newton's law
The extent of the force being applied downward. If the human is selected to be the system of interest with a free-body diagram, the one-dimensional problem appears to be considerably more difficult. Both sections (a) and (b) of this example's analysis can be answered by analyzing the free-body diagram in accordance with Newton's laws, along with some other potential problems. In order to determine what the scale reads, the only forces operating on the subject are his weight w and the upward force of the scale, which are equal in strength and directed in opposing directions. Newton's law, as usual, can be used to do this.
F=Ma = F−w=ma⇒F=m(a+g)=75(2+9.8)=885 N.
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How does enormous energy get released from the sun?
Enormous energy get released from the sun due to fusion reaction.
How does enormous energy get released from the sun?
Sun can generate enormous energy due to nuclear fusion. In this process, high temperature and pressure in the core of the sun force the nuclei to separate from their electrons which results in the formation of one Helium atom releasing a large amount of energy.
So we can conclude that enormous energy get released from the sun due to fusion reaction.
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Select the correct answers. which two pieces of information show that a research source is reliable?\
Answer:
2
Explanation:
just took the assignment
During World War II, the United States government forced thousands of _____ to be relocated to internment camps.
Answer:
Japanese Americans
Explanation:
prevented them from buying land and sent them back to japan after the war
hope this helps :)
Answer:
Japanese Americans
Explanation:
Since Japan was helping the Axis, the United States were afraid that if Japan attacked the Continental United States, then Japanese Americans would help them.
This fear led to the government placing Japanese Americans in internment camps.