Question

What is the wavelength of a photon that has an energy of `3.097 * 10^4` J?

Answer 1

I found `6.4×10^-30m` but check my maths!

Explanation:

The energy `E` is given, from Einstein's formula, as:
`E=h*nu`
Where:
`h=6.63×10^-34Js` is Planck's constant;
`nu` is the frequency.
You can relate frequency and wavelength `lambda` through the speed of light `c` as:
`c=lambda*nu`
So finally you get:
`E=hc/(lambda)`
And:
`lambda=(hc)/E=(6.63×10^-34*3×10^8)/(3.097×10^4)=6.4×10^-30m`