Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by dE dt = q2a2 6pP0c3 where c is the speed of light. (a) Verify that this equation is dimensionally correct. (b) If a proton with a kinetic energy of 6.0 MeV is traveling in a particle accelerator in a circular orbit of radius 0.750 m, what fraction of its energy does it radiate per second? (c) Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second?

Answers

Answer 1

Answer:

a)  [tex]\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}[/tex]

b)  [tex]x=\frac{6.0}{4.3*10^{-32}}[/tex]

c) [tex]x'=\frac{6.0}{2.22*10^{-3}}[/tex]

Explanation:

From the question we are told that:

Kinetic energy of Proton[tex]K.E_p= 6.0 MeV[/tex]

Radius [tex]r=0.750[/tex]

Energy [tex]\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}[/tex]

a)

[tex]\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}[/tex]

b)

Generally the equation for acceleration of proton is mathematically given by

[tex]a_p=\frac{v^2}{r}[/tex]

Where

Speed of Proton particle is

[tex]V_p=2.12 *10^3 m/s[/tex]

[tex]a_p=\frac{(2.12 *10^3)^2}{0.750}\\a_p=1.27*10^{10}m/s^2[/tex]

Therefore

[tex]\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}[/tex]

[tex]\frac{dE}{dt}=\frac{9*10^9*(1.6*10^{-19}^2*(1.27*10^{10})^2)}{(3*10^8)^3}[/tex]

[tex]\frac{dE}{dt}=6.881810^{-51}J/s[/tex]

Energy radiated per sec

[tex]mev=\frac{6.881810^{-51}}{1.6*10^{-19}}\\mev=4.3*10^{-32}ev[/tex]

Therefore the Fraction of its energy  it radiates per second is given as

[tex]x=\frac{ K.E_p}{mev}\\[/tex]

[tex]x=\frac{6.0}{4.3*10^{-32}}[/tex]

c)

Generally the equation for acceleration of proton is mathematically given by

[tex]a_p=\frac{v^2}{r}[/tex]

Where

Speed of Proton particle is

[tex]V_p=2.5 *10^7 m/s[/tex]

[tex]a_p=\frac{(2.5 *10^7)^2}{0.750}\\a_p=0.33*10^{14}m/s^2[/tex]

Therefore

[tex]\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}[/tex]

[tex]\frac{dE}{dt}=\frac{9*10^9*(1.6*10^{-19}^2*(0.33*10^{14})^2)}{(3*10^8)^3}[/tex]

[tex]\frac{dE}{dt}=59.26^{-25}J/s[/tex]

Energy radiated per sec

[tex]mev=\frac{59.26^{-25}}{1.6*10^{-19}}\\mev=2.22*10^{-3}ev[/tex]

Therefore the Fraction of its energy  it radiates per second is given as

[tex]x'=\frac{ K.E_p}{mev}\\[/tex]

[tex]x'=\frac{6.0}{2.22*10^{-3}}[/tex]


Related Questions

A circuit has a resistance of 8 Ohms. the voltage supplied to the circuit is 14 volts. what is the current flowing through it?

Answers

Answer:

e jiio7ruetw5258o0pomnmitwq2690okm ,,kkkiiht44456

The current across a certain resistor can be found using Ohm's Law, as before:

Vi = RiIi

where:

Vi  is the voltage drop across the resistor

Ri is the resistance of the resistor

Ii is the current through the resistor

In this problem:

R2 = 8Ω is the resistor we are considering

V₂ = 110V is the voltage drop across that resistor (in a parallel circuit, the voltage drop is the same across each resistor)

Solving for I, we find the current through it:

I₂ = V₂/R₂ = 110/8 = 13.7A (see that "V₂/R₂" and "110/8"  part as fraction)

why does a child look different to both parents?​

Answers

Answer:

Each parent has a set of genes, and a combination of the genes from the mom and the dad could come together to make the child look totally different.

A child looks different to both parents because children usually look like a "combination" of both their parents. Each parent gives their child their genes.  So a child wouldn't look exactly like one parent.

what is force? and give its formula​

Answers

Force is a push or pull that changes or attempts to change the shape or size of an object's position.

Formula Of Force

F = m × a

Here

F= Force

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Hope This Helps You ❤️

If the spring constant of a simple harmonic oscillator is doubled, by what factor will the mass of the system need to change in order for the frequency of the motion to remain the same

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The mass must also be.

Weathering of rocks can occur in many ways. In the western United States, strong winds can erode huge rock formations by blowing millions of tiny grains of sand at these rocks. Which term accurately describes this type of weathering?

A. Thermal
B. Chemical
C. Physical
D. Meteorological

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The answer is C Physical because it is not a chemical reaction
c, cause i’m smart and give me brainliest

Who's Buzz Aldrin?
______________​

Answers

Answer:

Buzz Aldrin was American astronaut, engineer and fighter pilot. he did three spacewalks as pilot of the 1966 Gemini 12 mission, and as the lunar modulbe pilot on the 1969 Apollo 11 mission, he and mission commander Neil Armstrong were the first two people to land on the Moon.

I hope it helps

have have a great day

En una práctica un beisbolista lanza verticalmente la bola con una velocidad de 12m/s en dirección ascendente. ¿Cuál será la altura máxima que alcanza la pelota?

Answers

Answer:

Thus, the maximum height is 7.35 m.

Explanation:

initial velocity, u = 12 m/s

acceleration due to gravity, g = 9.8 m/s^2

Velocity at maximum height, v = 0 m/s

Let the maximum height is h.

Use third equation of motion

[tex]v^{2}=u^{2}-2 g h\\0 = 12\times 12 - 2 \times 9.8\times h\\h =7.35 m[/tex]

Particles that attract each other are
A. two electrons.
B. two protons.
C. one proton and one electron.
D. one proton and one neutron.

Answers

B. I belive :)
Hopes this helps
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Question 32 of 35
The models above show particle arrangement. Read each statement below.



image



1. The substances must undergo a chemical change to transform into a different model

2. The substance in diagram A has the highest energy

3. The substances in diagrams B and C would flow.

4. The substance in diagram C has the lowest temperature.



Which statement above is true?

A.
1

B.
3

C.
4

D.
2

Answers

Answer:

hard2

Explanation:

An object is to the left of a convex mirror. Describe the two rays needed to indicate the location and height of the image. Additionally, state what side of the mirror the image is on and whether it is real or virtual.

Answers

Answer:

1) a ray parallel to the optical axis that after passing through the lens passes through the focal length

2) a ray that passes through the center of curvature, this ray does not have any deviation

real image   d_{objet} > f

Explanation:

In geometric optics, you can find the position of the image by geometric method, we draw two rays

1) a ray parallel to the optical axis that after passing through the lens passes through the focal length

2) a ray that passes through the center of curvature, this ray does not have any deviation

3) a ray that passes through the focal length and when passing the lens comes out horizontally

The interceptor point is where the image is

To determine if the image is real or virtual, when the object is at a greater distance than the focal length, the image is real and when it is at a shorter distance, the image is virtual.

The virtual image is formed on the same side as the object

real image   d_{objet} > f


[tex]what \: is \: refraction \: of \: light \: {?} [/tex]

Answers

When light passes through one transparent medium to another transperent medium it bends and that beding of light is know as refraction of light !

Refraction of light is the bending of light as it passes from one medium to another.

What is the pressure on your feet if you weigh 800 N and the area covered by your feet is 0.67 m^2?

Answers

Answer:

Pressure = 1194.03 N/m

Explanation:

Given the following data;

Force = 800 N

Area = 0.67 m²

To find the pressure on your feet;

Mathematically, pressure is given by the formula;

Pressure = force/area

Pressure = 800/0.67

Pressure = 1194.03 N/m

PLEASE HELP WILL MARK BRAINLIEST *

Answers

THE ANSWER IS FALSE AND GOOD LUCK ON YOUR TEST

What happens if we nuke a city?

Answers

The shadow would subsequently drop the temperature in the city, forcing warmer air to rush in and violently destroy countless buildings. There would also be “black rain,” which would be the radioactive ash and dust that would liquify and pour down on the city and we would all die.

Answer:

Those who survived the bomb may become deaf or blind, as well as suffer catastrophic burns and injuries. Even people who were not seriously injured could become trapped within a structure or unable to navigate through the wreckage.

Explanation:

If a 70 kg man is standing on the surface of the earth, then what is his weight on the moon

Answers

Answer:

P = 113.4 N

Explanation:

We know that if it is on the Moon it has another gravity. Therefore, it is known through the International System that the gravity of the Moon is 1.62 m/s², so..

Data:

m = 70 kgg = 1.62 m/s²P = ?

Use formula:

[tex]\boxed{\bold{P=m*g}}[/tex]

Replace and solve:

[tex]\boxed{\bold{P=70\ kg*1.62\frac{m}{s^{2}}}}[/tex][tex]\boxed{\boxed{\bold{P=113.4\ N}}}[/tex]

The man's weight is 113.4 Newtons.

Greetings.

77. The first law of motion applies to
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No obiect, whether moving or not

Answers

In the first law, an object will not change its motion unless a force acts on it. So I think the answer is A. Only objects that are moving.

How does energy from an earthquake reach each surface? Describe the three types of seismic waves.

Answers

Body waves travel through the interior of the Earth. Surface waves travel across the surface. Surface waves decay more slowly with distance than body waves which travel in three dimensions. Particle motion of surface waves is larger than that of body waves, so surface waves tend to cause more damage.
https://en.m.wikipedia.org › wiki

large amounts of energy are converted to small amounts of mass. small amounts of energy are converted to large amounts of mass. small amounts of mass are converted to large amounts of energy. large amounts of mass are converted to small amounts of energy. mass is destroyed and energy is created. energy is destroyed and mass is created.

Answers

Answer:

small amounts of mass are converted to large amounts of energy

Explanation:

According to the mass-energy equivalence, which Albert Einstein initially proposed as a general principle. It was revealed that mass and energy are connected and that a "small amount of mass can be converted into enormous amounts of energy."

Using the formula E=mc^2. This means Energy equals mass times the speed of light squared.

Hence, it is true that "small amounts of mass are converted to large amounts of energy."

A bird in flight pushes itself upward with
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constant rate of 1 m/s (no acceleration),
what is the weight of the bird?
[?] N

Answers

Answer:

The weight of the bird is equal to 7.28 N.

Explanation:

The upward force acting on the bird = 7.28 N

The bird is climbing at a constant rate of 1 m/s.

We need to find the weight of the bird.

We know that the weight of an object is the force of gravity acting on it. It can be calculated as follows :

W = mg

In this case, 7.28 N of force is acting on the object. Hence, the weight of the bird is equal to 7.28 N.

2.
A body, which floated in water, sank when put in kerosene. Why
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Answers

Answer:

The answer is below

Explanation:

The density of an object is its mass per unit volume, that is the ratio of mass to volume occupied. It is given by:

Density = mass / volume

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If a beaker with 300 ml of 20°C water is poured into a beaker with 400 ml of 30°C water, what is the final temperature?

Answers

Answer:

Explanation:  

Which object will take the most force
to accelerate? *
4 kg
6 kg
8 kg
02 kg

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Answer:

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After being assaulted by flying cannonballs, the knights on the castle walls (12.0 m above the ground) respond by propelling flaming pitch balls at their assailants. One ball lands on the ground at a distance of 81.1 m from the castle walls. If it was launched at an angle of 53.0° above the horizontal, what was its initial speed?

Answers

Answer:

28.6 m/s

Explanation:

Using the equation for the range of a projectile,

R = U²sin2θ/g where U = initial speed of flaming pitch balls, θ = launch angle = 53° and g = acceleration due to gravity = 9.8 m/s²

Making U subject of the formula, we have

U = √(gR/sin2θ)

substituting the values of the variables into the equation given that R = 81.1 m, we have

U = √(9.8 m/s² × 81.1 m/sin2(53°))

U = √(794.78 m²/s²/sin106°)

U = √(794.78 m²/s²/0.9613)

U = √(826.78 m²/s²)

U = 28.75 m/s

U ≅ 28.6 m/s

Please Help!!!!
A scientist defects an earthquake wave traveling at a speed of 6.5 km/s in rock with a density of 2.8 g/cubic cm. Based on the data, a scientist can BEST conclude that the wave is traveling through which type of rock?

Answers choices:
A. limestone
B. shale
C. anhydrite
D. dolomite​

Answers

I think is limestone

11. In a new science fiction movie an enemy spaceship explodes. Will an observer on a nearby
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Answers

Answer:

Sound is transmitted by longitudinal waves thru air - the observer cannot hear the explosion because no air is present between the moon and the ship

Light is transmitted by electromagnetic waves so the light from the explosion can travel between the  moon and the observer.

walk done in units time is called​

Answers

Answer:

Explanation:

work done per unit time is caleed power.it's SI unit is watt.it depends upon time.

A ball of 5.2 kg is swings around on a rope with radius 0.86
meters. If the ball is traveling at 1.8 m/s, what is its angular
momentum? (Round to the nearest hundredth).

Answers

Answer:

Explanation:

Angular momentum is L = mvr:

L = (5.2)(1.8)(.86) so

L = 8.05 kg*m/s

Consider the waves in the four diagrams below. Which diagram shows a wave
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Answers

Answer:

C

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#CMIIW

Einstein's theory of general relativity is currently the best explanation of gravity.Why has this theory not been replaced with a new one

Answers

Answer:

Option C, It still explains the experimental evidence pertaining to gravity

Explanation:

Please find the attachment

Answer:

A.) It will remain the best explanation, because no one has come up with a better one yet

Explanation:

Find the voltage
drop between
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[?] V

No links please

Answers

Answer:

Explanation:

solve the parallel resistances

30||40     and 50||30

17.14285714   and 18.75

total Resistance = 35.89285714

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9V = I *35.89285714

9V / 35.89285714 = I

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Now use the resistance across AB

V = 17.14285714 * 0.250746

V = 4.29850

this is the Voltage drop across AB  :P

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