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## Homework Statement

An elementary particle of mass M completely absorbs a photon, after which its mass is 1.01M.

a) What was the energy of the incoming photon?

b) Why is that energy greater than 0.01Mc

^{2}?

## Homework Equations

E = mc

^{2}or Δm = Δ E/c

^{2}

E = γmc

^{2}

## The Attempt at a Solution

The only thing I can see doing is Δm = 1.01M - M = 0.01M = E/c

^{2}

But that gives E = 0.01Mc

^{2}, which according to part b is not the answer. How do you solve this?