Suppose the wavelength of the photon absorbed when nathan jumps from level 2 to 3 is 400 nm. what would be the wavelength of the photon nathan would have to absorb if he wanted to jump from levels 2 to 4

The wavelength of the photon nathan would have to absorb if he wanted to jump from levels 2 to 4 = 296.53 nm

Explanation:

The energy of the absorbed photon can be found using, , where is the initial quantum level and is the final quantum level.

And we also have E =hc/λ , where h is Planck's constant, c is the speed of light and λ is the wavelength of photon absorbed.

 So  E is inversely proportional to λ and E is directly proportional to

So λ is inversely proportional to  

We have

      So the wavelength of the photon nathan would have to absorb if he wanted to jump from levels 2 to 4 = 296.53 nm