Question

If an electron of an atom goes from $n=1$ to $n=3$ then its time period become _______ times of the initial value.

• A. $25$
• B. $1/25$
• C. $27$
• D. $1/27$

Answer 1

The correct option is C $27$

We know that, time period,

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

So,

$T_{n=1}\propto \frac{1}{Z^2}$

$T_{n=3}\propto \frac{27}{Z^2}$

Therefore, the time period becomes $27$ times of the initial value.

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