Question

The current developed due to revolution of an electron in ground state of an atom $(Z=a)$ is $i_0$ then for another atom $(Z=2a)$, the current developed due to revolution of an electron in first excited state is -

• A. $3i_0$
• B. $2i_0$
• C. $i_0/3$
• D. $i_0/2$

Answer 1

The correct option is D $i_0/2$

We know that, current,

$i\propto \frac{Z^2}{n^3}$

So,

$i_1(=i_0)\propto \frac{a^2}{1}$

$i_2\propto \frac{(2a{)}^2}{2^3}=\frac{a^2}{2}\Rightarrow i_2=i_0/2$

Hence, option $\left(D\right)$ is the correct answer.