Question

In: Physics

X-rays of wavelength λ = 0.140 nm are scattered from carbon. A. What is the Compton...

X-rays of wavelength λ = 0.140 nm are scattered from carbon.

A. What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 45.0 degrees?

Express your answer to three significant figures and include the appropriate units.

λ'- λ = ?

B. What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 120 degrees?

Express your answer to three significant figures and include the appropriate units.

λ'- λ = ?

C. What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 180 degrees?

Express your answer to three significant figures and include the appropriate units.

λ'- λ = ?

Solutions

Expert Solution

The compton shift is given by,

where is the Compton wavelength shift, is the wavelenghth of scattered X-ray, is the wavelength of incident X-ray, h is the planck's constant, me is the mass of electron, c is the velocity of light and is the scattering angle (angle between the scattered X-ray and the hoizontal axis).

But

where is a constant called Compton wavelength.Therefore

Given the wavelength of scattered X-ray = 0.140nm = 0.140 x 10-9m.

(A) Here = 45

(B) Here = 120

(C) Here = 180


Related Solutions

1. X-rays are scattered from electrons in a carbon target. The measured wavelength shift is 0.00131...
1. X-rays are scattered from electrons in a carbon target. The measured wavelength shift is 0.00131 nm. Calculate the scattering angle. The speed of light is 3 × 108 m/s and Planck’s constant is 6.626 × 10?34 J · s. Answer in units of ? . 2. A 0.0011 nm photon scatters from a free electron. For what (photon) scattering angle will the recoiling electron and scattered photon have the same kinetic energy? The speed of light is 3 ×...
1. An x-ray photon of initial wavelength (λ 0) = 0.097 nm is scattered off an...
1. An x-ray photon of initial wavelength (λ 0) = 0.097 nm is scattered off an electron (initially at rest). If the photon is backscattered (scattering angle = 180°), what is the resulting wavelength of the scattered photon? Give your answer in nm, but enter only the numerical part in the box. 2. An x-ray photon of initial wavelength (λ 0) = 0.093 nm is scattered off an electron (initially at rest). If the photon is backscattered (scattering angle =...
An photon with a wavelength in the X-ray region of 0.69 nm undergoes Compton scattering by...
An photon with a wavelength in the X-ray region of 0.69 nm undergoes Compton scattering by colliding with a free electron. 1) Assume the photon just barely grases the electron, so that the deflect angle, θ, can be considered zero. 1)What is the wavelength of the outgoing photon after the collision? λ' = 2)What the energy of the outgoing photon? Eγ = 3)Now assume the photon deflects off at a small angle of 49o. What is the wavelength of the...
A beam of homogenous x-rays with a wavelength of 0.0900Å is incident on a carbon scatterer....
A beam of homogenous x-rays with a wavelength of 0.0900Å is incident on a carbon scatterer. The scattered rays are observed at an angle of 54° with the direction of the incident beam. Find 1. The wavelength of the scattered rays, 2. The energies of the incident and scattered photons 3. The momenta of the incident and scattered photons 4. The energy, velocity, momentum, and angle of the recoil electron
Photons of wavelength 65.0 pm are Compton-scattered from a free electron which picks up a kinetic...
Photons of wavelength 65.0 pm are Compton-scattered from a free electron which picks up a kinetic energy of 0.55 keV from the collision. What is the wavelength of the scattered photon?  
In a Compton scattering experiment, a photon with a wavelength ?=1.50x10-3 nm collide with a stationary...
In a Compton scattering experiment, a photon with a wavelength ?=1.50x10-3 nm collide with a stationary electron. After the collision, the electron recoils at 0.500c a) What is the energy and wavelength of the scattered photon? b) through what angle with respect to the incident direction was the photon scattered? [Hint: Me=0.511 MeV/c2 or Me=9.11x10-31 kg]
a) Explain the production of x-rays b) What is the typical energy range for Compton scattering...
a) Explain the production of x-rays b) What is the typical energy range for Compton scattering and why? c) Why does pair production require a minimal energy and what is it?
In a diffraction grating experiment, green light of wavelength  λ = 533 nm is directed on a...
In a diffraction grating experiment, green light of wavelength  λ = 533 nm is directed on a diffraction grating that has N = 577 /mm lines. The diffraction pattern is projected on a screen that's located 172.5 (cm from the grating. Find the distance  between the first bright fringe and third dark fringe on the screen. your answer should be in SI units (meters) This is a diffraction grating problem, you can not use the approximation
What is the the frequency (in MHz) of x-rays radiation that has a wavelength of 0.06830...
What is the the frequency (in MHz) of x-rays radiation that has a wavelength of 0.06830 nanometers? The speed of light is 3.00x108 m/s.
A 1.56Mev photon from Rh103 is compton scattered at an angle of 150 degree. calculate the...
A 1.56Mev photon from Rh103 is compton scattered at an angle of 150 degree. calculate the energy of the scattered photon and the compton shift in wavelength .what is the momentum of the scattered photon? calculate the energy required by the recoil electron .what is the recoil angle of the electron? what is the maximum fraction of its energy that this photon could lose in a single compton scattering?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT