Chapter 4, Problem 4.39P

Interpretation Introduction

Interpretation:

Energy that is required by an electron to move from $n=2$ to $n=3$ state has to be calculated and also the wavelength of photon has to be calculated.

Concept Introduction:

By absorbing or emitting electromagnetic radiations, the atom undergoes transition from one stationary state to another.  If transition occurs from a high energy state to a lower energy state, then it is accompanied by emission of a photon for hydrogen atom.  Energy of photon that is emitted can be calculated using the equation given below.

    $E_{photon}=\left(2.1799\times {10}^{-18}\text{J}\right)\left(\frac{1}{n_f{}^2}-\frac{1}{n_i{}^2}\right)$

Where,

    $n_f$ is the final energy state.

    $n_i$ is the initial energy state.

If the final energy state is lesser than the initial energy state then the equation becomes as shown below.

    $E_{photon}=\left(2.1799\times {10}^{-18}\text{J}\right)\left(\frac{1}{n_i{}^2}-\frac{1}{n_f{}^2}\right)$