Question

The angular momentum of the electron in the third Bohr orbit of a hydrogen atom is '\(l\)' so its angular momentum in the fourth Bohr orbit is

• A. \(4l\)
• B. \((\frac{5}{4})l\)
• C. \((\frac{4}{3})l\)
• D. \((\frac{3}{2})l\)

Hint:

Angular momentum is n h over 2 pi, so it is proportional to n.

Answer 1

The Correct Option is C

Step 1: Write both values:
$l = \frac{3h}{2\pi}$ and $L_4 = \frac{4h}{2\pi}$.

Step 2: Divide:
$\frac{L_4}{l} = \frac43$.

Final Answer:
$L_4 = \frac{4}{3}\,l$, option (C). \[ \boxed{\frac{4}{3}\,l} \]