JEE Main202227 Jun 2022Morning ShiftPhysicsAtomic PhysicsActual
A hydrogen atom in its ground state absorbs 10 . 2 eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of (Given, Planck's constant = 6 . 6 × 10 - 34 Js ).
Options
- A2 . 10 × 10 - 34 Js
- B1 . 05 × 10 - 34 Js
- C3 . 15 × 10 - 34 Js
- D4 . 2 × 10 - 34 Js
Correct answer
B. 1 . 05 × 10 - 34 Js
Step-by-step solution
Energy absorbed is given by, Δ E = 13 . 6 × 1 n 1 2 - 1 n 2 2 10 . 2 = 13 . 6 × 1 n 1 2 - 1 n 2 2 Therefore, we get, n 1 = 1   &   n 2 = 2 The change in angular momentum Δ L = n 2 h 2 π - n 1 h 2 π = h 2 π = 1 . 05 × 10 - 34   J   s