An energetic photon strikes a helium nucleus and breaks into two hydrogen isotopes (A = 2, Z = 1). The two particles move off at 0.6c. Assume all energy of the photon is absorbed and that relativistic energies are involved.(adsbygoogle = window.adsbygoogle || []).push({});

Q - what is the wavelength of the incoming photon?

Conservation of energy - Ei = Ef

E(photon) + E(helium) = 2E(hydrogen)

E(photon) = 2E(hydrogen) - E(helium)

hc/[tex]\lambda[/tex] = 2([tex]\gamma[/tex]m(H)c^2) - ([tex]\gamma[/tex]m(He)c^2)

[tex]\gamma[/tex] = 1/sqrt(1-u^2/c^2)

Then I would solve for [tex]\lambda[/tex] by rearranging the equation.

Is this how i should be solving this type of problem?

Thanks

DoubleMint

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Photon Smashing into Particle

**Physics Forums | Science Articles, Homework Help, Discussion**