If gravity is the only force that plays a role in the evolution of the universe, and the mass density is less than the critical mass density, which plot correctly shows the evolution of the universe?

The separation between the fifth maximum and seventh minimum from the central maximum is 2.457mm

Seperation between 5th and 7th minima

=2X(wavelength)x(Distance of screen) / (slit seperation)

=(2x 585x10^-9 x21x10^-2 )/ 0.1x10^-3 =2.457mm

The double-slit experiment shows that light and matter can exhibit properties of both classically defined waves and particles. Furthermore, it demonstrates the fundamental stochastic nature of quantum mechanical phenomena. This kind of experiment was first performed by Thomas Young in 1802 to demonstrate the wave behavior of visible light [1]. At the time, light was thought to consist of waves or particles. With the advent of modern physics about 100 years later, it was recognized that light can indeed exhibit behavior characteristic of both waves and particles. We have demonstrated that it exhibits the same behavior as extended to molecules . Thomas Young's light experiments were part of classical physics long before the concept of quantum mechanics and wave-particle duality was developed. He believes that this proves that the wave theory of light is correct, and his experiment is sometimes called Young's experiment  or Young's slit.

This experiment belongs to the general class of "double-path" experiments, in which a wave is split into two separate waves (a wave usually consists of many photons and is better known as a wavefront). .The wave properties of a single photon ), which later combine into a single wave. Changes in the path length of both waves lead to phase shifts that create interference patterns. Another version is a Mach-Zehnder interferometer that splits the beam with a beam splitter.

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Temperature rise will be there in cylinder B more than in cylinder A because of internal energy.

what is internal energy?

The sum of the kinetic and chemical potential energies of all the particles in the system is the internal energy. Particles accelerate and pick up kinetic energy when energy is applied to increase the temperature.

Briefing:

Cylinder A uses the heat it absorbs to both work while expanding and to increase internal energy (or temperature).

While cylinder B solely uses the heat it absorbs to increase its internal energy 

As a result, cylinder B's temperature rise is greater than cylinder A's.

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The wavelength of the light has beam 355 nm.

What is a wavelength?
A wavelength is the measure of a wave's distance from one peak to the next. It is the physical distance between two successive wave crests or troughs, and is usually measured in meters, nanometers, or micrometers. Wavelengths are an important aspect of light, sound, and other types of waves. Wavelengths are often used to describe the properties of these waves such as their color, pitch, and intensity. Wavelengths are also related to the frequency of a wave, with shorter wavelengths associated with higher frequencies and longer wavelengths associated with lower frequencies.

The wavelength of the light beam can be calculated using the equation λ = h/eV, where h is Planck's constant, e is the charge of an electron, and V is the potential difference in volts.
For this question, the wavelength of the light beam is therefore λ = (6.626 x 10-34 Js)/(1.602 x 10-19 C x 1 V) = 4.13 x 10-7 m or 355 nm.

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The frequency of the antinodal planes is f = 3 × [tex]10^1^1[/tex] hz

Given, the wavelength is 12.2 cm = 0.122 m

The number of antinodal planes of the given electric field considered is given to be n = 5

The width can be mathematically represented as ;

l = nλ/ 2

l = 5 X 0.122/ 2

l = 0.305 m

The frequency of the errors made is mathematically represented as:

f = c / k

λk = wavelength of the microwave

this is equal to 0.122 X 0.02/ 5/2

λk = wavelength of the microwave  =  0.122 X 0.02/ 5/2

so thus f = 3 X 10^8/ 0.000976

f = 3 × [tex]10^1^1[/tex] hz

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It is True since mass m is an inertial mass.

Mass at rest. This is mostly explained by Newton's law, the all-too-famous formula F = ma, which asserts that an object will accelerate proportionately to the force F applied to it, with the mass of the object serving as the constant of proportion. In very simple terms, you may calculate the inertial mass by applying a force of F Newtons to an object, measuring the acceleration in m/s2, and then multiplying that value by the acceleration to get the inertial mass m in kilograms. It's also intriguing to note that there is no physical distinction between inertial mass and gravitational mass. The values have been verified by numerous trials, and the results have consistently agreed with the margin of error for the experiments 

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The sequence of energy transformations from the moment the ball is dropped to the moment the board is bent to its maximum extent and the ball is at rest is as follows:

1. The ball has potential energy (gravitational potential energy) from being held above the board.

2. As the ball is dropped, it gains kinetic energy as it accelerates to the ground.

3. When the ball hits the board, the kinetic energy is converted into elastic potential energy as the board bends.

4. As the board continues to bend, the elastic potential energy is converted into thermal energy.

5. Finally, when the board reaches its maximum extent, the ball is at rest and its kinetic energy has been completely converted into thermal energy.

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Answer:-An echo is heard sooner on a hot day because the speed of sound in air increases with temperature. So the speed of sound in air is more on a hot day, and an echo is heard sooner.                                             The velocity of sound in a gas is directly proportional to the square root of its absolute temperature (v=MρRT ). Since, temperature of a hot day is more than cold winter day, therefore sound would travel faster on hot summer day than on a cold winter day.                                                                     A reduction in pulse-echo amplitude was observed at all temperatures in the range and was found to be proportional to temperature increase.             Sound wave speed is dependent on air temperature. Sound waves move faster in warmer temperatures and slower in colder temperatures. During the day, temperatures are warmest near the surface and cool off with height. This is known as a lapse rate.                                                                            Due to the high energy of atoms on a hot day, sound travels faster compared to a cold day, where atoms don't have much energy to vibrate freely. Therefore, an echo will return more quickly on a hot day than on a cold day.

Indeed, a microscope stage needs to have a hole in it. There must be an aperture in the microscope stage. Only clean lenses for microscopes should be cleaned using lens tissue.

Microscope Stages: There are many different types of microscope stages, each of which is created to serve a particular function. Stages with supplementary tools for handling samples while being observed are among them. The lens is a component of the human eye's anterior portion. The iris, which sits in front of the lens and controls how much light enters the eye, controls light refraction. The lens's suspensory ligament, a ring of fibrous tissue that joins the ciliary body to the lens at its equator, holds the lens in place. The vitreous body is located behind the lens.

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According to the young's double-slit experiment, the spacing of the slits is 1.54 mm.

Young's double-slit experiment uses two coherent light sources placed a short distance apart.

Wavelength of the light used = λ = 575 nm

Distance between the slits and the screen = D =  2.00 m

The  minimum tenth interference = 7.10 mm

As we know the tenth minimum interference can be calculated by the formula: (19/2) (λD/d)

here 'd' is the spacing between the slits.

7.10 * [tex]10^{-3}[/tex] = (19/2) (575 * [tex]10^{-9}[/tex] * 2/d)

7.10 = (9.5) (1154 * [tex]10^{-6}[/tex] / d)

7.10 = 10963 * [tex]10^{-6}[/tex] /d

d = 1544.0 * [tex]10^{-6}[/tex] m

d = 1.54  [tex]10^{-3}[/tex] m

d = 1.54 mm

The spacing of the slits is 1.54 mm.

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The car will not drive off the cliff.

Motion is the phenomenon in which an object changes its position. Motion is represented in terms of displacement, distance, velocity, acceleration, speed, and time.

We know that [tex]v^{2} - u^{2} = 2aS[/tex] where,

v= final velocity

u = initial velocity

a = acceleration/deacceleration

S = distance

Given , v = 32m/s , u =0 and a = 8 m/s^2

Putting these values in above equation we get,

                               S = 64m

Given cliff is at a distance of 65m.

So the car will not fall off the cliff.

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The transformer having a primary voltage of 70 V and a secondary voltage of 210 V is a step-up transformer (1st option)

This is a device tthat transfers electrical energy either by steping-up or steping-down voltage.

Generally, there are two main types of transformer:

In step-up transformer, secondary voltage is higher than the primary voltage

In step-down transformer, primary voltage is higher than the secondary voltage

With there above information in mind, we can conclude that the correct anwer to the question is:

It’s a step-up transformer because the secondary voltage is greater than the primary voltage (1st option)

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Cart a's final momentum is greater than Cart b's final momentum, while Cart b's initial momentum is greater than Cart a's initial momentum.

The parameters provided;

m1 = the mass of the first cart

m2 = b, the mass of the second cart

u1 = 0 is the initial velocity of the first cart.

u2 is the beginning velocity of the second cart.

According to the concept of conservation of linear momentum, the sum of the initial and final momentum must be equal.

The two carts' initial momentum:

Pbi  > Pai

The final momentum of the two carts;

Paf > Pbf

Use linear momentum conservation;

Pai + Pbi = Paf + Pbf

As a result, we can conclude that cart a's final momentum is greater than cart b's final momentum.

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The first law of thermodynamics, which states that you cannot produce or destroy matter or energy, is broken by this. Critics assert that the big bang theory implies the universe didn't exist before the big bang.

According to a theoretical hypothesis known as the Big Bang theory, the cosmos first existed in a state of extreme density and heat. The evolution of the observable universe from the earliest known times through its later large-scale form is explained by a variety of cosmological models of the Big Bang. These models provide a thorough justification for a wide variety of known phenomena, including the abundance of light elements, cosmic microwave background (CMB) radiation, and large-scale structure. Cosmic inflation, or the abrupt and extremely rapid expansion of space during the Universe's early moments, provides an explanation for the flatness problem, or the appearance of uniformity over the whole cosmos. The initial conditions of the Big Bang, however, are not currently well modeled by any commonly accepted quantum gravity theory.

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The speed of the first marble immediately after the collision (assuming it is a perfectly elastic collision) is 0.63 m/s.

In physics, an elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remain the same. In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.

How to calculate the speed of the first marble after the perfectly elastic collision?

The formula for a perfectly elastic collision as follows :

M₁ * U₁ + M₂ * U₂ = M₁ * V₁ + M₂ * V₂

1/2 * M₁ * U₁² + 1/2 M₂ * U₂² = 1/2 M₁ * V₁² + 1/2 M₂ * V₂²

Where
M1 = mass of first marble

M2 = mass of second marble

U1 = initial speed of first marble

U2 = initial speed of second marble

V1 = speed of first marble after collision

V2 = speed of second marble after collision

From the question given :

M₁ = 46g

M₂ = 23g

U₁ = 1.9m/s

U₂ = 0m/s

V₁ = (M₁ - M₂ / M₁ + M₂) * U₁ + (2M₂ / (M₁ + M₂)) * U₂

= (46 - 23 / 46 + 23) * 1.9 + 0

= 0.63 m/s (rounded)

Therefore, the speed of the first marble after its perfectly elastic collision will be 0.63 m/s.

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The resistivity, in ohm meters, of the wire is 0.001228 Ωm.

Resistivity is a measure of a material's resistance to electric current. It is the inverse of electrical conductivity and is usually expressed in ohm-meters (Ω⋅m). Resistivity is an intrinsic property of a material, meaning that it does not depend on the size or shape of the material.

Resistivity is typically measured using a four-point probe method. This involves attaching four electrodes to the material, and then measuring the voltage between the two inner electrodes while passing a known current through them. The resistivity can then be calculated using Ohm's law.

Resistivity = (Voltage x Length) / (Current x Area)

= (15.5 x 8.49) / (75.3 x (π x (0.852/2)^2))

= 0.001228 Ωm

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The ratio of the newly allowed intensity to the previously allowed intensity is 3.1623 x 10⁻³.

Banks says a leaf blower makes 64 to 78 decibels at 50 feet. To the operator's ear, the noise is 95-115 decibels. According to Dangerous Decibels, a public-private partnership aimed at reducing hearing loss, typical speech is around 60 decibels, washing machines 75 decibels, and chainsaws 115 decibels.

Performance that fits your needs. Setting the motor to a low speed makes less noise. According to the American Green Zone Alliance, an organization dedicated to zero-emission landscaping, the average fan produces about 65 dB of noise. Compare this to the average noise level of a traditional gas backpack blower.

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The area of Surface = [tex]{ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]

A vector equation is a linear combination of vectors with possibly unknown coefficients.

Vectors are defined as quantities that have both magnitude and direction. Examples include weight, acceleration, force, displacement, and velocity. Scalar quantities are those that merely have magnitude and no direction.

According to the given information

r(u, v) =[tex]\langle u \cos v, u \sin v[/tex], [tex]v\rangle \quad 0 \leqslant u \leqslant 1[/tex]

[tex]0 \leqslant v \leqslant 6 \pi \\[/tex]

[tex]& \gamma_u=\langle\cos v, \sin v, 0\rangle \\[/tex]

[tex]& r_v=\langle-u \sin v, u \cos v, 1\rangle \\[/tex]

[tex]& r_u \times r_v[/tex] = [tex]\left|\begin{array}{ccc}\hat{i}_i & \hat{j} & \hat{k} \\\cos v & \sin v & 0 \\-u \sin v & u \cos v & 1\end{array}\right| \\[/tex]

= [tex]\hat{\imath}[\sin v-0]-\hat{\jmath}[\cos v]+\hat{k}\left[u \cos ^2 v+u \sin ^2 v\right] \\[/tex]

[tex]& =\langle\sin v,-\cos v, u\rangle \\& \left\|\gamma_u \times \gamma_v\right\|=\sqrt{\sin ^2 v+\cos ^2 v+u^2}=\sqrt{1+u^2} \\[/tex]

[tex]& A_{r e}=\iint\left\|r_u \times r_v\right\| d A \\& =\int_0^1 \int_0^{6 \pi} \sqrt{1+u^2} d v d u \quad=\int_0^1 \sqrt{1+u^2} d u[v]_0^{6 \pi} \\& =6 \pi \int_0^1 \sqrt{1+u^2} d u=\frac{6 \pi}{2^2}\left[\frac{1}{2}\left(x \sqrt{1+u^2}+\ln \left(\sqrt{1+u^2}+1\right)\right]_0^1\right. \\& ={ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]

So

The area of Surface = [tex]{ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]

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The centripetal acceleration of the runner is 1.44m/sec²  if he is moving at a speed of 7.20m/sec while bending a radius of 36m.

Centripetal acceleration increase is characterized as the property of the movement of an item, crossing a roundabout way. Any item that is moving all around and has a speed increase vector pointed towards the focal point of that circle is known as Centripetal speed increase.

You probably seen different instances of centripetal speed increase in your regular daily existence. In the event that you drive a vehicle around a circle, your vehicle is going through centripetal speed increase and a satellite circling the earth likewise follows a centripetal speed increase. Centripetal means towards the middle.

Centripetal acceleration increase can be estimated in meters each second as it is the quantity of meters each second by which your speed changes consistently. At the point when an item is moving in a round movement, it very well may be estimated by utilizing the accompanying condition

[tex]a_c[/tex]=(v²)/r

Where,

[tex]a_c[/tex]   is the centripetal acceleration increase in m/sec²

v is the speed in m/sec

r is the sweep in m.

So, we have v=7.20m/sec, r=36m.

So,[tex]a_c[/tex]=(7.20)²/36

=>[tex]a_c[/tex]=(51.84)/36

=>[tex]a_c[/tex]=1.44m/sec²

Hence, centripetal acceleration is 1.44m/sec².

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When the spring reaches its equilibrium length, or the point at which all the energy stored in the spring is transferred to kinetic energy, the block moves at its fastest speed. Since the object is at rest when it starts, Ki = 0. Due to a lack of friction, Wnc is equal to 0.

A mass oscillating about its equilibrium position can move at a maximum displacement of 0.2 meters and at a maximum speed of 1.2 meters per second.

Currently, the top speed limit for automobiles on expressways is 120 kph, and the top speed limit for cars on national highways is 100 kph.

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The greatest amount of time is going to be achieved when the volleyball is hit with its maximum velocity and that's his maximum vertical component.

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The relationship between image distances and object distances for a lens is given by the lens formula: 1/I = 1/f - 1/u, where I is the image distance, f is the focal length of the lens, and u is the object distance.

In the given scenario, the object is kept at the same distance from both lenses A and B, which is between F and 2F of each lens. The image distances I1 and I2 will be different for the two lenses because the focal lengths of the lenses are different, as represented by the different powers P1 and P2.

We can use the lens formula to find the relationship between the image distances of the two lenses.

For lens A: 1/I1 = 1/f1 - 1/u

For lens B: 1/I2 = 1/f2 - 1/u

Where f1 and f2 are the focal length of lenses A and B respectively.

As we know that the object distance is same for both lenses, we can subtract these two equations to get the relationship between I1 and I2.

1/I1 - 1/I2 = 1/f1 - 1/f2

This equation shows that the relationship between the image distances of the two lenses is determined by the difference between the focal lengths of the lenses. If the focal lengths of the lenses are equal, the image distances will also be equal. But if the focal lengths are different, the image distances will also be different.

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Because A and B have maximum speeds of 5.024 m/s and 5.024 m/s, respectively, and because their two masses, a and b, are attached to different springs, both A and B have the same speed.

The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. The distance travelled by an object in a time interval divided by the length of the interval gives the average speed of the object during that interval.

Vmax for A is 2 * pi * (10) * (0.08) = 5.024 m/s.

Vmax for B = 2*pi*(16)(0.05), which equals 5.024 m/s

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The correct response is 1.428 velocity through orifice v2 = 2 gh v2 = 2 * 9.8 * 17 v = 18.254. initially

The amount of time it takes to get to the ground is initially

t=g 2 = 9.8 2100 =4.51s.

b) The horizontal distance before touching the ground, x=ut=204.5=90m c) The constant horizontal velocity over the frequency,

At "A," V x = 20 m/s, and V y = u+at= 0 + 9.8 4.5 = 44.1 m/s

Final velocity is equal to v r= (4.41) + (20) 2 =48.42 m/s tan, which is equal to x V y= 204.41 =2.205 =tan 1.428.

Water is inside a cylinder that is exposed to the atmosphere and is standing upright on a table. Although the side of the cylinder has three holes Speed of outflow at point D is equal to (2gD) length of time it takes to get there

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The force of the bridge on the camel is given as - (W + w) N.

According to Newton's third law of motion, for every force, there is an equal but oppositely-directed force.

The force of gravity acting on the camel produces a downward force that acts perpendicular to the plane of the surface of the bridge.

According to Newton's law of motion, a balancing force acts on the camel in the opposite direction of the weight of the camel. This is the force of the bridge in the camel.

The total downward force acting on the bridge = (W + w) N

The total upward force acting on the camel = - (W + w) N

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After  a material with a dielectric constant of 4.80 is inserted between the plates,  energy remains same and it be 8.09 joule now stored in the capacitor.

Energy cannot be created or destroyed, says the law of conservation of energy. However, it has the ability to change its form.

The total energy of an isolated system is constant when all sources of energy are taken into account.

As the energy of 8.09 joule stored in a capacitor, which is isolated, when   a material with a dielectric constant of 4.80 is inserted between the plates,  energy remains same due to conservation of energy and it be 8.09 joule now stored in the capacitor.

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Answer: Attached JPG

Explanation:

FBD shows the forces acting on an object. If you where given no values (mass, acceleration, μ, etc...) then simply label the various vectors. Vectors show direction and magnitude as in how big the force is.

If you where given the mass you can find the weight and normal force (not inclined plane) by multiplying mass times gravity. Fg=Fn because its not moving in the y dimension (up and down).

If given acceleration and told no friction then the force applied would be mass times acceleration.

If given friction force you have to set up the equation m*a=Fa-Ff and then plug in variables.

It gets more complicated when you are given μ. To find these force then you have to set up the equation Ff=μFn. Plug in variables to find Ff, then set up previously listed equation.

Hope this helps

Each of the descriptions should be matched to the processes as follows;

Sublimation → Fog is created by using dry ice.

Deposition → Frost forms on trees on a very cold day.

Condensation → The mirror gets fogged up when you breathe on it.

Melting → Ice cream starts dripping down the sides of an ice cream cone.

Evaporation → Your wet hair dries after a few minutes.

Freezing → Liquid glass cools and hardens.

In Science, a phase change can be defined as the change in the state (phase) of matter of a given chemical compound or substance. Additionally, some examples of a phase change include the following;

Generally speaking, a change in the state (phase) of matter that results in the release of energy is known as an exothermic reaction and they include the following:

In conclusion, other processes that are associated with a change in the state (phase) of matter are sublimation, melting, and evaporation.

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The speed of the bullet is 721m/s as it leaves

The speed of the bullet is 937m/s as it enters block 1 .

From the question, we have

+x direction is to the right (so all velocities are positive valued).

(a) Applying momentum conservation,

(0.0035kg)ν=(1.8035kg)(1.4m/s)  

⇒ν=721m/s .

(b) We use momentum conservation to connect the moment the bullet initially contacts the first block to the moment it has passed through it (using the speed v from section (a)).

(0.0035kg)V  =(1.20kg)(0.630m/s)+(0.00350kg)(721m/s)

V =937m/s .

Linear Momentum:

The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum. Please be aware that the body's momentum always points in the same direction as its vector of velocity. Because it is a conserved quantity, a system's overall momentum is always constant. kg/s is the unit of linear momentum.

Complete question:

a 3.50g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block  1  (mass 1.20kg ) and embeds itself in block 2 (mass 1.80kg ). The blocks end up with speeds ν 1=0.630m/s  and ν2 =1.40m/s (Fig.9-58b). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1 .

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220-dc motor powered by a 5.3 ohm armature whose resistance is running at its operating speed the series resistance would be necessary to keep the initial current under 20 A

Distance travelled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is a scalar quantity and the velocity vector's magnitude. There is no clear direction to it. An object is travelling more quickly if its speed is higher. Slower motion is indicated by a lower speed. In simple words, we define speed or velocity as the distance travelled in a specific amount of time. If an automobile is driving faster if its speed is higher. A slow vehicle has less speed, as we say. if an object moves quickly.

Req = R + r = 2 + r

Req = V/I2 + 2 + r = 220/30 60 + 30 r = 220 30 r = 160 r = 5.3 ohm

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The average pressure does this wave exert on a totally reflecting surface is 5.13*10^-12 pa.

As a result of the momentum transfer between the electromagnetic field and the object, the idea of radiation pressure is created. Since electromagnetic waves carry transport momentum, this force can be observed.

The mechanical pressure that is applied to any surface as a result of the electromagnetic field and the object exchanging momentum is known as radiation pressure. When photons hit the object's surface in this instance, momentum is transferred.

The composition of the surface and the level of light intensity employed determine the radiation pressure on any given surface.

Given,

power=777Kw

r=4.50 Km

According to the condition given, we get

I = Pav/ A

I = 777000 w/2π(4000m)^2

I = 7.7 *10^-3 w/m²

Average pressure is given by

PaV = 2I/c

Pav = 2* 7.7 x 10^-3/3*10^8

Pav = 5.13*10^-12 pa.

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