Question

Calculate the energy difference for a transition in the Paschen series for a transition from the higher energy shell n=7?

Answer 1

The energy difference for a transition in the Paschen series can be calculated using the equation ΔE = -13.6 eV * (1/n_f² - 1/n_i²). In this case, with n_f = 7, you can calculate the energy difference for different values of n_i.

Step-by-step explanation:

The energy difference for a transition in the Paschen series can be calculated using the formula:

ΔE = -13.6 eV * (1/n_f² - 1/n_i²)

In this case, the higher energy shell is n=7. We can set n_f = 7 and calculate the energy difference for different values of n_i:

1. n_i = 1: ΔE = -13.6 eV * (1/49 - 1) = -13.6 eV * (-48/49) = 13.29 eV
2. n_i = 2: ΔE = -13.6 eV * (1/36 - 1/49) = 3.4 eV
3. n_i = 3: ΔE = -13.6 eV * (1/25 - 1/49) = 1.82 eV
4. n_i = 4: ΔE = -13.6 eV * (1/16 - 1/49) = 1.1 eV
5. ...
6. and so on

The energy difference will decrease as n_i increases.