Solution Found!
X rays are produced in a tube operating at 18.0 kV. Alter
Chapter 38, Problem 18E(choose chapter or problem)
Problem 18E
X rays are produced in a tube operating at 18.0 kV. Alter emerging from the tube, x rays with the minimum wavelength produced strike a target and are Compton-scattered through an angle of 45.0°. (a) What is the original x-ray wavelength? (b) What is the wavelength of the scattered x rays? (c) What is the energy of the scattered x rays (in electron volts)?
Questions & Answers
QUESTION:
Problem 18E
X rays are produced in a tube operating at 18.0 kV. Alter emerging from the tube, x rays with the minimum wavelength produced strike a target and are Compton-scattered through an angle of 45.0°. (a) What is the original x-ray wavelength? (b) What is the wavelength of the scattered x rays? (c) What is the energy of the scattered x rays (in electron volts)?
ANSWER:
Solution 18E
The energy of an electromagnetic wave is expressed as , where
is Planck’s constant and
is the frequency of radiation.
The operating voltage of the X rays in the tube is given to be V= 18.0 kV. The energy of these X rays is , where
is the charge of an electron.
Now, can also be written as
, where
is the speed of light and
is the wavelength of the X-rays.
(a) Therefore,