X-rays with an initial wavelength of 0.0563 nm scatter at an angle of 81.1° from

Question

X-rays with an initial wavelength of 0.0563 nm scatter at an angle of 81.1° from the loosely bound electrons of a target material. What is the wavelength of the scattered radiation?

Assuming that the smallest measurable wavelength in an experiment is 0.110 fm (femtometers), what is the maximum mass of an object traveling at 549 m·s–1 for which the de Broglie wavelength is observable?

And What is the wavelength of the matter wave associated with a proton moving at 383 m/s? ... with a 191-kg astronaut (including her spacesuit) moving at the same speed? ... with Earth moving along its orbit around the Sun?

Explanation / Answer

For Compton scattering,
= [h/(mc)](1 - cos)

= [(6.626*10^-34 J-s) / {(9.11 *10^-31 kg)(3.00 *10^8 m/s)}](1 - cos(81.1))
=  2.05 * 10^-12 m
f - i = 0.00205 nm
f = 0.00205 + 0.0563 nm
f = 0.05835 nm


please post seperate questions in seperate post

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