A single slit is illuminated by light of wavelength `lambda_(1)` and `lambda_(2)`. so chosen that the first diffraction minimum of the`lambda_(1)` component coincides with the second minimum of the `lambda_(2)` component. (a) What relationship exists between the two wavelengths? (b) Do any other minima in the two diffraction pattern coincide?

Explanation

To solve the problem, we need to analyze the diffraction pattern produced by a single slit for two different wavelengths, \( \lambda_1 \) and \( \lambda_2 \).

### Step-by-Step Solution:

**(a) Relationship between the two wavelengths:**

1. **Understanding the condition for diffraction minima:**
The condition for the minima in a single slit diffraction pattern is given by:
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