The ionization energy of a hydrogen like bohr atom is `4` Rydbergs (i) What is the wavelength of the radiation emitted when the electron jumps from the first excited state to the ground state ?(ii) what is the radius of the orbit for this atom ?

Explanation

To solve the problem step by step, we will address both parts of the question: (i) finding the wavelength of the radiation emitted when the electron jumps from the first excited state to the ground state, and (ii) calculating the radius of the orbit for the atom.

### Step-by-Step Solution

**Part (i): Wavelength of Radiation Emitted**

1. **Identify the Energy Levels**:
- The ground state corresponds to \( n = 1 \).
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