The kinetic energy of an electron accelerated in an x-ray tube is 125 keV. Assuming it is nonrelativistic, what is its wavelength (in m)?
Solution:
Using the formula, K.E = 0.5 * m * v^2
=> 125 * 1.6 * 10^-16 = 0.5 * 9.1 * 10^-31 * v^2
=> v = 2.1 * 10^8 m/s
Now Using the formula,
=> λ = h / mv
=> λ = 6.626 * 10^-34 / (9.1 * 10^-31 * 2.1 * 10^8 )
=> λ = 3.5 * 10^-12 m
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