Question

The angular momentum of an electron in a hydrogen atom is proprotional to ( where r is redius of orbit)

• A. $\frac{1}{\sqrt{r}}$
• B. $\frac{1}{r}$
• C. $r^{1/2}$
• D. ${}^{r}2$

Answer 1

The correct option is C $r^{1/2}$

Radius of the nth orbit r_n ∝ n²/Z ⇒ n ∝ (r n)½

Angular momentum L_n = nh/(2π) ∝ (r n)½

$=r^{1/2}$