What is the minimum energy that must be given to a H atom in ground state so that it can emit an `H gamma` line in Balmer series. If the angular momentum of the system is conserved, what would be the angular momentum of such `H gamma` photon ?

Explanation

To solve the problem, we need to determine two things: the minimum energy required for a hydrogen atom in the ground state to emit an H-gamma line in the Balmer series, and the angular momentum of the emitted H-gamma photon.

### Step 1: Identify the energy levels involved in the transition
The Balmer series corresponds to transitions where the final energy level (n2) is 2. The H-gamma line specifically corresponds to a transition from n=5 to n=2.

- **Initial state (n1)**: 5
- **Final state (n2)**: 2

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