How do you find the wavelength of energy with photons????

Question

unklerhaukus · Answer

The energy $E$  of a photon of frequency $f$ is $$E = hf$$ where $h$ is planks constant.

To get the wavelength $\lambda$ use the relation for EM radiation$$c= f\lambda$$ where $c$ is the speed of light.

anonymous · Answer

can you help me work out a problem so i better understand?  if a photon has an energy of 8.6 x 10^-19 J, how will i find out the wavelength?

unklerhaukus · Answer

solve the equation: $c = f\lambda$ for $f$,

plug this into $E=hf$, 

rearrange the resulting equation to solve for $\lambda$

plug in the values for the energy and the constants