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Chapter 3: Q35E (page 94)

Determine the wavelength of an X-ray photon that can impart, at most 80keV of kinetic energy to a free electron.

Short Answer

Expert verified

The wavelength of an X-ray photon is1.55脳10-11鈥�m.

Step by step solution

01

Identification of the given data:

The given data can be listed below as,

The kinetic energy of the photon is E=80keV..

02

Significance of kinetic energy of an electron:

The kinetic energy of an X-ray photon can be obtained with the help of the energy equation. The relation between kinetic energy and a photon鈥檚 wavelength is a direct linear one.

03

Determination of the wavelength of an X-ray photon

The relation of the wavelength of an X-ray photonis expressed as,

位=hcE

Here,位 is thewavelength of an X-ray photon, his the Plank鈥檚 constant whose value is 6.63脳10-34鈥�J鈰�sand cis the light speed in vacuum whose value is3脳108鈥�m/s.

Substitute all the known values in the above equation.

localid="1657611613977" 位=6.63脳10-34J路s3脳108m/s(80keV)脳1.6脳10-16J1keV=1.55脳10-11m

Thus, the wavelength of an X-ray photonis1.55脳10-11m.

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Most popular questions from this chapter

To expose photographic films. photons of light dissociate silver bromide AgBrmolecules which requires an energy of 1.2eV . What limit does this impose on the wavelengths that may be recorded by photographic film?

What is the wavelength of a 2.0mWIaser from which "6脳1015 photons emanate every second?

You are conducting a photoelectric effect experiment by shining a light of 500 nmwavelength at a piece of metal and determining the stopping potential. If, unbeknownst to you, your 500 nm source actually contained a small amount of ultraviolet light, would it throw off your results by a small amount, or by quite a bit? Explain.

In the Compton effect, we choose the electron to be at the origin and the initial photon's direction of motion to be in the+x-direction.

(a) We may also choose the xy-plane so that it contains the velocities of the outgoing electron and photon. Why? (b) The incoming photon's wavelength位is assumed to be known. The unknowns after the collision are the outgoing photon's wavelength and direction,位鈥�, and 胃,and the speed and direction of theelectron,ue,and蠒.With only three equationstwocomponents of momentum conservation and one of energy, we can't find all four. Equation(3鈭�8)gives位鈥瞚n terms of胃.Our lack of knowledge of 胃胃 after the collision (without an experiment) is directly related to a lack of knowledge of something before the collision. What is it? (imagine the two objects are hard spheres.) (c) Is it reasonable to suppose that we could know this? Explain.

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