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# Modern Physics: Energy, Compton wavelength, rest mass energy

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I've attached a pdf file of the problem. I don't exactly know how to approach the question. I don't know exactly what the question is asking.

https://brainmass.com/physics/energy/modern-physics-energy-compton-wavelength-rest-mass-energy-56438

## SOLUTION This solution is FREE courtesy of BrainMass!

The Compton wavelength for a particle is given by the equation

 = h/(m0c) here l is the rest mass of the particle.

(a) The Compton wavelength for a proton is calculated as

(b) The energy of a photon is given by the equation

E = h

Where h is the plank constant and  is the frequency of the light. Hence the energy of the photon having same wavelength as that in (a) is calculated as

(c) The rest mass energy of a particle is given by

E = m0c2.

The energy of a photon having wavelength equal to Compton wavelength of the particle is

Which is equal to the rest mass of the particle, hence proved.

Calculating with above equation again we get the same results.

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