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## Homework Statement

## Homework Equations

(1) E

^{2}= p

^{2}c

^{2}+ m

_{0}

^{2}c

^{4}

(2) E = γm

_{0}c

^{2}

(3) E = E

_{γ1}- E

_{γ2}

(4) p = E / c

(5) E = hf

(6) λ = c / f

## The Attempt at a Solution

a) Using eqn (1), rearranged p = (E - m

_{0}c

^{2}) / c , I obtained 2.9 MeV c

^{-1}. Not sure if I have the right answer here as I converted the 1.000 GeV to 1*10

^{3}MeV and kept both the rest energy and total energy in mega electron volts.

b) Using eqn (2), rearranged γ = E / m

_{0}c

^{2}, γ = 7.63. Then by approximation of the lorentz factor I obtained a difference in velocity to be 2.57*10

^{6}ms

^{-1}

c) Is where I am stuck. From the observers reference frame or the labs reference frame, the two photons would be in different directions. So by using eqn (3) some how find the two

**different**energies?

And then I guess by using eqns (5) & (6) you can find the wavelength? Bit stuck on the mathematics here.

Thanks for any help and happy holidays :).