Question

In a mixture of $H-H{e}^{+}$ gas, H atom and $H{e}^{+}$ ions are excited to their respective first excited states. Subsequently, H atoms transfer its excitation energy to $H{e}^{+}$ ions by collision.

If the Bohr model of an atom is applicable then the ratio of the potential energy of the n = 2 electrons for H atom to the He${}^{+}$ ion is:

• A. 1/4
• B. 1/2
• C. 4
• D. 3

Answer 1

The correct option is A 1/4

The ratio of the potential energy of the n = 2 electrons for H atom to the He${}^{+}$ ion is
$\frac{Z_H^2}{Z_{He}^2}=\frac{1^2}{2^2}=\frac{1}{4}$.

Hence, the correct option is $\left(A\right)$