The earth is compressed to keep one third of radius .Calculate the acceleration of the new earth.(acceleration due to gravity of the earth before it is compressed is 9.8m/s^2.​

There is a 34.9% difference between the observed wavelength and the predicted wavelength for the Balmer series line of hydrogen.

The Balmer series refers to the set of spectral lines in the visible part of the electromagnetic spectrum that are emitted by excited hydrogen atoms when they transition from higher energy levels to the second energy level. The formula for calculating the wavelength of the Balmer series lines is given by:

1/λ = [tex]R_H (1/2^2 - 1/n^2)[/tex]

where λ is the wavelength of the spectral line, R_H is the Rydberg constant for hydrogen [tex](1.0974 * 10^7 m^-1)[/tex], and n is an integer greater than 2 that represents the higher energy level from which the electron transitions.

For the Balmer series line with a wavelength of 656.5 nm, we can calculate the predicted wavelength using the formula above with n=3:

1/λ_predicted = [tex]R_H (1/2^2 - 1/3^2)[/tex]

[tex]= 1.0974 * 10^7 m^{-1} (1/4 - 1/9)[/tex]

= 4.862 x 10^-7 m[tex]= 4.862 * 10^{-7} m[/tex]

= 486.2 nm

The percentage difference between the predicted and observed wavelengths can be calculated using the formula:

% difference = |(observed wavelength - predicted wavelength) / predicted wavelength| x 100%

% difference = |(656.5 nm - 486.2 nm) / 486.2 nm| x 100%

= 34.9%

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In the Cha-cha dance, weight transfer is a crucial component of the dance technique. It refers to the transfer of body weight from one foot to the other, which creates the characteristic rhythm of the dance.

Another term for weight transfer in the Cha-cha dance is "weight shift". This term emphasizes the dynamic nature of the movement, as the body weight is constantly shifting from one foot to the other in a rhythmic pattern.

The weight shift is usually accompanied by a small hip movement and a sharp foot action, which adds to the energy and excitement of the dance. In summary, weight transfer and weight shift are interchangeable terms used to describe the essential movement in the Cha-cha dance.

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The mitochondria play a significant role in supplying the final leg of a 5K runner's cells with energy.

The mitochondria are a key organelle in supplying the runner's cells with energy throughout the final portion of a 5K run. Since mitochondria are in charge of manufacturing ATP (adenosine triphosphate), the currency of the cell, through the process of cellular respiration, they are referred to as the "powerhouses" of the cell. The need for ATP rises during activity, and the mitochondria work harder to supply this need by converting glucose and other fuel molecules into ATP.

As a result, the cells of runners would need to have a high level of mitochondrial activity in order to give them the energy they need to finish the race.

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The number of visible photons emitted per second is 2.51 × [tex]10^{18}[/tex]

A typical incandescent light bulb emits approximately 1 J of visible light energy per second.

The formula to calculate the energy of a photon is

E = hf

Where:

E is the energy of the photon.

h is Planck's constant (6.626 ×  [tex]10^{-34}[/tex] joule-seconds).

f is the frequency of the photon.

As we know, energy is equal to power multiplied by time.

We can write this as:

E = P × t

Thus, we can express the power in terms of energy as:

P = E/t

Therefore, the energy of a photon can be written as

E = (P × t) / n

where: n is the number of photons that were emitted over the time interval t.

So, the number of photons emitted can be estimated using the following formula:

n = (P × t) / E

Substituting the values: P = 1 J/t

E = 4.19 ×  [tex]10^{-19}[/tex]J/photon (wavelength is about 500 nm)

f = c / λ = 3 × 108 / 500 × 10-9 = 6 × 1014 Hz

E = hf = 6.626 ×  [tex]10^{34}[/tex] × 6 × 1014 = 3.98 ×  [tex]10^{-19}[/tex] J

n = (P × t) / E= (1 J/s × 1 s) / (3.98 × [tex]10^{-19}[/tex] J/photon)= 2.51 ×  [tex]10^{18}[/tex] photons/s

Therefore, a typical incandescent light bulb emits approximately 2.51 ×  [tex]10^{18}[/tex] photons per second.

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This occurs when airborne water vapour bumps up against the surface of a cold water bottle, causing the water vapour to condense into droplets.

The heat transported to or from a substance depends on three things, according to experiments: the change in temperature of the substance, its mass, and some physical characteristics associated to its phase.

Examples of heat engines that move energy from a cold place to a hot area include refrigerators and heat pumps.

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The time after starting when the magnitude of the car's centripetal acceleration is equal to the tangential acceleration is 8.21 seconds.

The diameter of the track, d = 270 m, so the radius, r = d/2 = 135 m.

The car is accelerating at a rate of aₜ = 1.6 m/s² tangentially to the circle.

The tangential acceleration of the car is equal to aₜ = v² / r, where v is the tangential velocity of the car.

Let's assume that the car has been moving for t seconds since the start of the test. During this time, the car's tangential velocity increases from 0 to v, so the average tangential acceleration over this time period is:

a_avg = (v - 0) / t = v / t

The magnitude of the centripetal acceleration is equal to a_c = v² / r.

At the point when the magnitude of the centripetal acceleration is equal to the tangential acceleration, we have:

a_c = aₜ

v² / r = aₜ

v² = aₜ * r

v = sqrt(aₜ * r)

Now we can find the time t it takes for the car to reach this speed using the equation:

v = aₜ * t

t = v / aₜ = sqrt(aₜ * r) / aₜ

Substituting the values for r and aₜ, we get:

t = sqrt((1.6 m/s²) * (135 m)) / (1.6 m/s²) = 8.21 s

Therefore, it takes approximately 8.21 seconds for the magnitude of the car's centripetal acceleration to become equal to its tangential acceleration.

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The required horizontal force to displace the position of a 28-kg chandelier is 33 N.

Here's how to calculate it:

Given: Mass of chandelier, m = 28 kg, Length of the wire, l = 4.0 m, Displacement of position, d = 0.12 m

When the chandelier is in a state of equilibrium, the tension T in the wire and the weight W of the chandelier must be equal.

The tension in the wire is equal to the force that is pulling the chandelier upwards. This force is acting at an angle of 90 degrees to the horizontal component of the tension in the wire.

Here, we can see that the chandelier is moving in a horizontal direction, so we need to calculate the horizontal component of the tension in the wire.

Taking moments about the point where the wire is attached to the ceiling: Anti-clockwise moments = clockwise moments

W * l = F * dF = (W * l)/d

Where W = mg (mass x gravity)

F = (28 kg x 9.8 m/s² x 4 m)/0.12 m= 33 N

The horizontal force required to displace the position of the chandelier 0.12 m to one side is 33 N.

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The cannonball and the marble both will reach the bottom of the incline at the same time. This is because both of them are rolling without slipping.

Rolling without slipping happens when the velocity of the center of mass of the object is equal to the velocity of the point at the bottommost portion of the object. This is due to the presence of static friction which prevents slipping from happening. When an object rolls down an incline, there are two forces acting on the object:

the gravitational force pulling it down the incline and the normal force pushing it perpendicular to the incline. The acceleration of the object is the difference between the gravitational force and the normal force divided by the mass of the object. The presence of static friction means that the force of friction will oppose the gravitational force and work with the normal force to maintain the rolling without slipping condition.

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If work is done by a system, the internal energy of the system decreases.

In thermodynamics, work is defined as the energy transferred when a force is applied over a distance, resulting in displacement. When work is done by a system, it means that the system has transferred energy to its surroundings, and therefore, the internal energy of the system decreases.

This is because the system has lost some of its internal energy to perform work. Conversely, if work is done on the system, the system gains energy, and the internal energy of the system increases. This is due to the work done on the system by external forces, which increases the system's energy.

The first law of thermodynamics, also known as the law of conservation of energy, states that the total energy of an isolated system remains constant, and therefore, any increase or decrease in the internal energy of a system must be accompanied by an opposite and equal decrease or increase in the energy of its surroundings.

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--The complete question is, if work is done by a system, does the internal energy of the system increase or decrease?--

The angular acceleration of a ladybug walks around a circular track that has a diameter of 3 m is 0.625 rad/s².The angular displacement is 60 rad.

Given that,The diameter of the circular track = 3m,Angular velocity of the ladybug = 5 rad/s.The time for which the ladybug moves = 12s. The formula for angular displacement is given by:

angular displacement = angular velocity × time (in seconds) = 5 rad/s × 12 s = 60 rad

So, the angular displacement is 60 rad.The formula for angular acceleration is given by:

angular acceleration = change in angular velocity / time taken (in seconds)

The initial angular velocity of the ladybug is zero, since it was at rest initially.The final angular velocity of the ladybug can be found using the formula:v = r × ωwhere,v = final linear velocity,r = radius of the circular track = 1.5m, ω = angular velocity= 5 rad/sv = 1.5 × 5 = 7.5 m/s

Therefore, the final angular velocity of the ladybug is 7.5 m/s.The change in angular velocity is given by:change in angular velocity = final angular velocity - initial angular velocity= 7.5 rad/s - 0 rad/s= 7.5 rad/s.The time taken for the ladybug to reach its final velocity is 12 seconds.Hence, the angular acceleration is given by:

angular acceleration = change in angular velocity / time taken (in seconds) = 7.5 rad/s / 12 s = 0.625 rad/s²

Therefore, the angular acceleration is 0.625 rad/s².

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The new near point with the corrective lens is 5 cm.

To find the new near point, we need to first understand what a near point is. The near point is the closest distance at which an individual can see an object clearly. With age, the near point increases due to a decrease in the ability of the eye to accommodate for close distances. This is known as presbyopia.

To find the new near point with a corrective lens, we need to use the lens equation:

1/f = 1/do + 1/di

where f is the focal length of the lens, do is the object distance (usually considered infinity), and di is the image distance.

We can assume that the object is at infinity, so do = infinity.

Therefore,

1/f = 0 + 1/di

Solving for di, we get:  di = f

To find the new near point, we need to subtract the di with the lens from the old near point.

Therefore, the new near point is:

New near point = old near point - di

where the di is the focal length of the corrective lens.

Substituting values into the equation, we get:

New near point = 25 cm - 20 cm = 5 cm

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D. An engineer standing at P sees an explosion at X After the explosion, she hears two bangs. One bang is heard a fraction of a second after the other. The second bang is an echo The sound reflected to cause this echo from WX.

The surface will most likely be WX which is closest to the blast and angle is also perfect so the D option. When there is a blast at position X, the person standing at PVC is multiple sound one sound is directly from the X and other sounds are from the sound waves after striking the surface hear the second sound wave time interval is very left that is one second.

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Complete Question:

An engineer standing at P sees an explosion at X After the explosion, she hears two bangs. One bang is heard a fraction of a second after the other. The second bang is an echo. From which surface has the sound reflected to cause this echo?

A. XY

B. PV
C. ZY

D. WX

The length of the fast pitch softball player's arm from the pivot point in her shoulder when she releases the ball with a speed of 34.3 m/s and a centripetal acceleration of 1960 m/s/s is 0.6 meters.

Given:

Speed of the ball = 34.3 m/s,  Centripetal acceleration = 1960 m/s²

Let the length of her arm from the pivot point in her shoulder = L

We know that, The centripetal acceleration of an object can be calculated by the formula as follows :

a = v²/r

Where, v is the speed of an object, r is the radius of the circle.

a = (v × v)/r

1960 = (34.3 × 34.3)/r

1960 = 1176.49/r

r = 1176.49/1960

r = 0.6 m

Therefore, length of her arm from the pivot point in her shoulder is 0.6 m.

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A basketball rolls across a classroom floor without slipping, with its center of mass moving at a certain speed. A block of ice of the same mass is set sliding across the floor with the same speed along a parallel line  (c) The two quantities are equal is correct option.

The ice block and the basketball both move at the same pace, giving them the same amount of kinetic energy. The two values are equal, hence the answer is (c).

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According to the Big Bang theory, there were four fundamental forces, and these forces are gravity, electromagnetism, strong interaction, and weak interaction that operated in the universe during the gut era.

Gravity is the force that attracts all objects to each other. It is also the weakest of the fundamental forces, but it has a significant impact on the universe at large. The strong interaction is the force that holds atomic nuclei together. It is much stronger than the other fundamental forces, but its range is limited to a few femtometers. Electromagnetism is the force that governs the behavior of electrically charged particles. It is responsible for many of the everyday phenomena we observe, such as light, magnetism, and electricity. The weak interaction is the force that governs the behavior of subatomic particles, such as neutrinos. It is responsible for certain types of radioactive decay and plays a critical role in nuclear fusion reactions. All of these forces are essential for understanding how the universe operates, and they continue to be studied by scientists today to gain a better understanding of the universe's origins and evolution.

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Answer:

This temperature is equivalent to 87°C.

.

According to Faraday's Law of Electromagnetic Induction, the magnitude of the induced EMF is directly proportional to the rate of change of magnetic flux with time, in this case the magnitude of the induced EMF in the wire is 14.05 V

The magnetic field through a loop of wire changes when it is exposed to a changing magnetic field. This induces an EMF in the wire.

The magnitude of the induced EMF is given by: ε = - N (dφ / dt)

where, N = number of turns of the wire in the loop

φ = magnetic flux

The rate of change of magnetic flux through the loop with time is given by:

[tex]\frac{d\phi}{dt}= \frac{d}{dt}(BAcos\theta) = AB (\frac{d}{dt}cos\theta)[/tex]

where,

B is the magnetic field,

A is the area of the loop, and

θ is the angle between the plane of the loop and the direction of the magnetic field.

In this case, a circular loop of wire with 53 turns and a radius of 15 cm is exposed to a perpendicular magnetic field of magnitude 0.45 T.

Therefore, the magnetic flux through the loop is given by:

φ = BA = πr²B= π (0.15 m)² (0.45 T) = 0.0318 Wb

When the magnetic field is reduced to zero in 0.12 s, the rate of change of magnetic flux with time is:

dφ/dt = -φ / t = (-0.0318 Wb) / (0.12 s) = -0.265 T/s

Therefore, the magnitude of the induced EMF in the wire is:ε = - N (dφ / dt) = - (53) (-0.265) V = 14.05 V

Therefore, the magnitude of the induced EMF in the wire is 14.05 V.

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As a defence against predators, plants can have thorns on their stems or poison on their foliage.

For many plants, physical defences serve as their first line of defence. Herbivores find it challenging to consume vegetation because of these defences. Physical barriers include things like the thorns on flowers and the spikes on trees like hawthorn. These bodily barriers prevent herbivores from consuming the stalks or leaves of plants by injuring them.

The first line of defence against pathogens is the outer covering of a plant, which is comparable to our skin and is also referred to as the epidermis. On some plant sections, such as the bark of a tree or the waxy cuticle on leaves, extra layers protect the epidermis itself.

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Answer:

tire tracks? I'm not sure

We can find open circuit voltage by disconnecting one end of the circuit from the other end and short circuit current by connecting the two ends of the circuit together.

To find the open circuit voltage and short circuit current of an electrical circuit, the following steps should be taken:

In an electrical circuit, the open circuit voltage is the voltage between two points in a circuit when no current is flowing. The short circuit current is the current that flows when the two points in a circuit are connected, creating a short circuit. By measuring the open circuit voltage and short circuit current, we can understand how a circuit works.

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The angular momentum of the particle about the origin is (8t + 6) i - 20t j - (10t + 6) k.

The angular momentum of a particle is given by the cross product of its position vector and its linear momentum vector,

L = r x p

where L is the angular momentum, r is the position vector, and p is the linear momentum.

m = 500 g = 0.5 kg

r = 4t + 3j - 2k m

v = 5t - 2j + 4k m/s

To find the linear momentum,

p = mv

Substituting the given values,

p = (0.5 kg) x (5t - 2j + 4k) = 2.5t kg m/s - j kg m/s + 2k kg m/s

To find the position vector in terms of its components,

r = 4t i + 3j - 2k

Taking the cross product of r and p,

L = r x p

= (4t i + 3j - 2k) x (2.5t i - j + 2k)

= (8t + 6) i - 20t j - (10t + 6) k

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--The complete question is, What is the angular momentum about the origin of a particle with a mass of 500 g when it is located at r = 4t + 3j - 2k m and moving at 5t - 2j + 4k m/s?--

True. Thomas Edison was the first to create a portable motion picture camera and projection system in 1889.

The Kinetograph was the name of the first movie camera. It was the first camera that could capture moving images on a strip of film. George Eastman (later of Eastman Kodak Camera) created celluloid film in 1889, which was utilized in Edison's Kinetoscope and Kinetograph.

Edison developed the camera as well as its viewer and put on multiple demonstrations of his invention. The first still photographers, Joseph Nicephone Niepce and Louis Daguerre of France, were responsible for discovering the photographic principles upon which the camera was founded. His invention, known as the Kinetoscope, consisted of a camera, film, and projection system.

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A chorus of 16 singers would make about 95.74 dB of sound if they sang with the same intensity as one vocalist.

This ratio is multiplied by 10 using the decibel (dB) measurement unit. The sound intensity level, as opposed to the actual intensity, shows you the level of the sound in relation to a reference intensity.

To get the overall sound level, we can apply the formula shown below:

Lp1 = 83.7 dB (sound level produced by one singer)

Lp2 = 10 log (N) + Lp1

N is the quantity of sources (in this case, 16 singers).

Lp2 = 10 log (16) + 83.7 dB

Lp2 = 10 (1.204) + 83.7 dB

Lp2 = 12.04 + 83.7 dB

Lp2 = 95.74 dB

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Total kinetic energy of a ostrich/child/bike is given by ptotal (= postrich + pchild/bike => 27.8 kg/m/s - 4.5 kg/m/s = 23.3 kg/m/s (in J). A body with mass m kg travelling at a speed of v m/s has momentum M = m*v kg*m/s.

Momentum can be thought of as a brain's "power" or the force that it can apply to another body while it is moving. For instance, a bowling ball with a heavy mass that is moving very slowly (low velocity) may have the same momentum as a baseball with a little mass that is thrown swiftly (high velocity).

More force is being applied to the truck than to the automobile. In motion, inertia is referred to as momentum. Momentum is calculated as the sum of an entity's mass and velocity. A tow van has far more momentum compared to a car driving at the exact same speed due to its increased weight.

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Answer: Yes, it can be  possible that an object have non zero angular momentum.

Explanation:

There is a concept of frame of reference.

When your frame of reference is not on that straight line where the object is moving then the object will have non zero angular momentum .

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The time it takes for the 10 kg mass to make one complete revolution on the table, given a tension of 51 N in the string, is 1.6 seconds. This value is calculated using the formula [tex]T = 2π√(r/g)[/tex] where r = 1.3 m and g = 9.8 m/s^2.

When a 10 kg mass is connected to a nail on a frictionless table by a massless string 1.3 m long, and the tension in the string is 51 N, the mass moves in a uniform circular motion. To find the time it takes for the mass to make one complete revolution, we use the formula [tex]T = 2π√(r/g)[/tex], where T is the time period, r is the radius of the circular path, and g is the acceleration due to gravity. Since the motion is on a table, the acceleration is zero and we can use the formula as is, with r = 1.3 m and [tex]g = 9.8 m/s^2[/tex]. Substituting these values, we get T = 1.6 seconds. Therefore, it takes 1.6 seconds for the mass to make one complete revolution on the table.

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simplified explainatiom:

Motion refers to the movement of an object from one place to another. There are different types of motion, such as moving in a straight line, moving in a circle, or moving back and forth.

To study motion, we use different measurements like how far an object moves (displacement), how fast it moves (velocity), how quickly it speeds up or slows down (acceleration), and what forces are acting on it.

The laws of motion are rules that explain how objects move. They say that an object will keep moving at the same speed and direction unless something stops it, and that the harder you push on an object, the more it will move.

Understanding motion is important for designing things like cars, planes, and buildings, and for playing sports.

explaination:

Motion refers to the change in position of an object with respect to its surroundings over time. It is a fundamental concept in physics and is studied extensively in mechanics, which is a branch of physics that deals with the motion of objects and the forces that cause them to move.

There are different types of motion, such as linear motion, circular motion, and oscillatory motion. Linear motion refers to the motion of an object in a straight line, while circular motion refers to the motion of an object along a circular path. Oscillatory motion refers to the motion of an object that moves back and forth around a fixed point.

The study of motion involves the use of various physical quantities, such as displacement, velocity, acceleration, and force. Displacement refers to the change in position of an object, while velocity refers to the rate at which an object changes its position. Acceleration refers to the rate at which an object changes its velocity, while force refers to the influence that causes an object to move or change its motion.

The laws of motion, which were first formulated by Sir Isaac Newton, are fundamental principles that govern the behavior of objects in motion. These laws state that an object in motion will remain in motion with a constant velocity unless acted upon by an external force, and that the force acting on an object is equal to the product of its mass and acceleration.

Motion has many applications in everyday life, such as in transportation, sports, and engineering. Understanding the principles of motion is essential for the design and operation of machines, vehicles, and structures.

Wind was blowing in the exact same direction meets the sound traveling at 330 ms at a distance of 40 ms. Determine the distance the noise will travel in 15 seconds.

What on Earth generates wind?

Almost all of the winds on Earth have a direct link to the Sun. Air rises and falls as the Earth's surface is unevenly warmed by the Sun, creating high and low areas of air pressure. As pressure increases, the surrounding air fills in to replenish it as the pressure drops, creating wind.

What part does wind play in the development of landforms?

Such winds only occur at the lowest layers of the troposphere and have a localized extent. Since it is the primary geomorphic force responsible for sculpting different landforms, the wind system drives the evolution of different landforms on the earth's surface. Further information on the Erosion and Diagenetic effect of winds can be found here.

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A parallel-plate capacitor has plates of area 3.07 x 10⁻⁴ m². So the plate separation is required if the capacitance is to be 1520 pF is  5.717 x 10⁻⁵ m.

The capacitance of parallel plate capacitor, C = (ε0 * K * A)/ d, where ε0 = permittivity of free space, K = dielectric constant, A = Area of the plate separation, d = plate separation.

Given:

Area of plate, A = 3.07 * 10⁻⁴ m²

Capacitance, C = 1520

pF = 1520 * 10⁻¹² F

The dielectric constant of air, K = 1.00059

Rearranging the above formula, we get,

d = (ε₀* K * A)/ C

Substituting the above values in the above formula,

d = (ε₀ * K * A)/ C

d = (8.85 * 10⁻¹² * 1.00059 * 3.07 * 1⁻⁴)/ (1520 * 10⁻¹²)

d = 5.717 * 10⁻⁵ m

Hence, the plate separation required is 5.717 x 10⁻⁵ m.

Complete question:

A parallel-plate capacitor has plates of area 3.07 x 10⁻⁴ m²

What plate separation is required if the capacitance is to be 1520 pF? Assume that the space between the plates is filled with air? (Dielectric constant for air is 1.00059)

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