Question

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

Answer 1

Answer:

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, $E = 13.6(\frac{1}{n_i^2}-\frac{1}{n_f^2}) eV$, where $n_i$ is the initial quantum level and $n_f$ 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 $(\frac{1}{n_i^2}-\frac{1}{n_f^2})$

So λ is inversely proportional to  $(\frac{1}{n_i^2}-\frac{1}{n_f^2})$

We have

           $\lambda_1(\frac{1}{2^2}-\frac{1}{3^2}) = \lambda_2(\frac{1}{2^2}-\frac{1}{4^2}) \\ \\ 400*(\frac{1}{2^2}-\frac{1}{3^2}) = \lambda_2(\frac{1}{2^2}-\frac{1}{4^2})\\ \\ \lambda_2 = 400*0.139/0.1875 = 296.53nm$

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