Question

If hydrogen atom is its ground state absorbs \( 10.2 \, \text{eV} \) of energy. The orbital angular momentum increases by

• A. \( 1.05 \times 10^{-34} \, \text{J.s} \)
• B. \( 3.16 \times 10^{-34} \, \text{J.s} \)
• C. \( 2.11 \times 10^{-34} \, \text{J.s} \)
• D. \( 4.22 \times 10^{-34} \, \text{J.s} \)

Hint:

The change in orbital angular momentum of hydrogen atom can be calculated based on the energy absorbed and the quantum mechanical relations.

Answer 1

The Correct Option is B

When a hydrogen atom absorbs energy, it jumps to a higher energy level. The orbital angular momentum changes accordingly. Using the Bohr model, we calculate the increase in angular momentum.

Step 2: Conclusion.
The increase in orbital angular momentum is \( 3.16 \times 10^{-34} \, \text{J.s} \), corresponding to option (b).