X-rays are scattered from a target at an angle of 40° with the direction of the incident beam. Find the wavelength shift of the scattered x-rays. Give your answer in picometres
Question
X-rays are scattered from a target at an angle of 40° with the direction of the incident beam. Find the wavelength shift of the scattered x-rays. Give your answer in picometres
Solution
To solve this problem, we need to use the Compton scattering formula, which describes the wavelength shift of scattered X-rays. The formula is:
Δλ = λ' - λ = h/(mec) * (1 - cos θ)
where:
- Δλ is the change in wavelength,
- λ' is the wavelength after scattering,
- λ is the initial wavelength,
- h is Planck's constant (6.62607015 × 10^-34 m^2 kg / s),
- me is the electron mass (9.10938356 × 10^-31 kilograms),
- c is the speed of light (299792458 m/s),
- θ is the scattering angle.
However, we don't have the initial wavelength λ in this problem. Therefore, we can't directly calculate the wavelength shift Δλ. We need more information to solve this problem.
Similar Questions
A monochromatic x-ray beam whose wavelength is 55.8 pm is scattered through 46 deg Find the wavelength of the scattered beam
Calculate the angle at which second-order reflection will occur in an X-ray spectrometer when X-rays of wavelength 1.54 Å are diffracted by the atoms of a crystal, given that the interplanar distance is 4.04 Å.1 point10.9811.2022.4024.20
A light of wavelength 5893 Å is passed through a liquid throughwhich an ultrasonic wave of 25kHz is propagating. What will bethe angle of first order angle of diffraction if velocity of wave is800 m/s?
If the angle of deviation due to refraction of an equilateral prism is 40°, what is the angle of incidence with the prism if the path of the ray through the prism is parallel to the plane of the prism?
xray of wavelength 0.112 nm is scattered from a carbon target calculate at 90 degree with respect to original direction the energy of the scattered electron after collision
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.