Photon Energy for Muon Pair Production and Electron Wavelength Calculation

[mk9898]

Homework Statement

What is the minimal amount of energy that a photon needs to create a muon pair?
What is the wavelength of an electron with the same total energy?
Tip: Muons have a rest mass of 1.9*10^-28kg and electrons 9.1*10^-31.

The Attempt at a Solution

I tried to use this formula:

$E_{\gamma} = 2m_{\mu} c^2 + 2\frac{m^2_{\mu}}{m_{nucleus}}c^2$

but there is no atom given I cannot use m_nucleus.

 

[kuruman]

Perhaps you should set formulas aside and do a little bit of thinking. What quantities are conserved in this process?

 

[osilmag]

I don't think that is the right formula.
$$E=h * f $$

That is how you find the energy of a particle. Where h is Planck's Constant and f is the frequency of the photon. Wavelength can be found using de Broglie.
$$ \lambda= \frac { h} {p}$$