Question

In: Physics

In a Compton scattering experiment, an x-ray photon scatters through an angle of 19.0° from a...

In a Compton scattering experiment, an x-ray photon scatters through an angle of 19.0° from a free electron that is initially at rest. The electron recoils with a speed of 1,240 km/s.

(a) Calculate the wavelength of the incident photon.
nm

(b) Calculate the angle through which the electron scatters.

°

Expert Solution

The Compton shift formula is

h= The plancks constant

C= The speed of of the light

Me = The mass of electron

The kinetic energy of of the recoiling electron according to the conservation of energy is

Using first equation

On simplification

On substitution of given values

= 19.0°

B.

Angle is 26.4°

genius_generous answered 2 years ago

In a Compton scattering experiment, an x-ray photon scatters through an angle of 22.2° from a...

In a Compton scattering experiment, an x-ray photon scatters through an angle of 22.2° from a free electron that is initially at rest. The electron recoils with a speed of 2,520 km/s. (a) Calculate the wavelength of the incident photon. nm (b) Calculate the angle through which the electron scatters. °

2. In a Compton scattering experiment, an x-ray photon scatters through an angle of 21.4° from...

2. In a Compton scattering experiment, an x-ray photon scatters through an angle of 21.4° from a free electron that is initially at rest. The electron recoils with a speed of 1,880 km/s. (a) Calculate the wavelength of the incident photon. (b) Calculate the angle through which the electron scatters.

In a Compton scattering experiment, an incident photon of energy 295.00 kev scatters off a loosely...

In a Compton scattering experiment, an incident photon of energy 295.00 kev scatters off a loosely bound electron resulting in the scattered photon to have an energy of 159.00 kev. a. Determine the scattering angle for the scattered photon, relative to the original direction of travel, and b. Determine the energy of the scattered electron. c. If the photon is back scattered (θ = 180°), determine the momentum of the scattered electron, in units of (kg m/s).

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...

An X-ray photon scatters from a free electron at rest at an angle of 110° relative...

An X-ray photon scatters from a free electron at rest at an angle of 110° relative to the incident direction. (a) If the scattered photon has a wavelength of 0.270 nm, what is the wavelength of the incident photon? (b) Determine the energy of the incident and scattered photons. c) Find the kinetic energy of the recoil electron.

Item 3.8 An X-ray photon scatters from a free electron at rest at an angle of...

Item 3.8 An X-ray photon scatters from a free electron at rest at an angle of 125 ∘ relative to the incident direction. Part A If the scattered photon has a wavelength of 0.310 nm, what is the wavelength of the incident photon? Express your answer using three significant figures. Part B Determine the energy of the incident photon.Express your answer using three significant figures.(end unit is keV) Part C Determine the energy of the scattered photon. Express your answer...

Measurements of the photon energy (E) from a Compton scattering experiment show two peaks: one at...

Measurements of the photon energy (E) from a Compton scattering experiment show two peaks: one at higher energies for the source gamma rays (GR), and another at lower energies for the scattered photons (SP). Each peak is expected to obey a Gaussian distribution; e.g. for the scattered photons: SP = ASP exp(-((E-ESP)/WSP)2), where ASP is the amplitude, ESP the peak energy, and WSP the peak width; with a similar equation and set of parameters for the GR. The table (below)...

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]

An X-ray photon with a wavelength of 0.120 nm scatters from a free electron at rest....

An X-ray photon with a wavelength of 0.120 nm scatters from a free electron at rest. The scattered photon moves at an angle of 105° relative to its incident direction. (a) Find the initial momentum of the photon. kg·m/s (b) Find the final momentum of the photon. kg·m/s

An x-ray photon with initial energy 133 keV is scattered by an electron through an angle...

An x-ray photon with initial energy 133 keV is scattered by an electron through an angle 60° with respect to its initial direction. A)Find the wavelength of the scattered photon after the collision with the electron. B) Find the final kinetic energy of the electron after the collision. C) Find the angle (with respect to the initial direction) for the scattered electron after the collision.