The wavelength of the characteristic X - ray `k_(alpha )` line emitted by a hydrogens like element is `0.32 lambda ` . The wavelength of the `K_(beta)` line emitted by the same element will be …..

Explanation

To find the wavelength of the K-beta line emitted by a hydrogen-like element, we can use the relationship between the wavelengths of the characteristic X-ray lines and the atomic number (Z) of the element. The process involves the following steps:

### Step-by-Step Solution:

1. **Identify Given Information**:
- The wavelength of the K-alpha line, \( \lambda_{\alpha} = 0.32 \, \text{Å} \).

2. **Use the Formula for Wavelength**:
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