Question

The force acting on the electron in a hydrogen atom depends on the principal quantum number as

• A. $F\propto n^2$
• B. $F\propto \frac{1}{n^2}$
• C. $F\propto n^4$
• D. $F\propto \frac{1}{n^4}$

Answer 1

The correct option is D $F\propto \frac{1}{n^4}$

Velocity is $\propto \frac{1}{n}$

Radius is $\propto \frac{1}{n^2}$

Force is $\propto \frac{v^2}{r}$

So, $f\propto \frac{1}{n^4}$