The fraunhofer diffraction pattern of a single slit is formed at the focal plane of a lens of focal length 1m. The width of the slit is 0.3 mm. if the third minimum is formed at a distance of 5 mm from the central maximum then calculate the wavelength of light.

Explanation

To solve the problem of finding the wavelength of light using the given parameters of the Fraunhofer diffraction pattern of a single slit, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Focal length of the lens, \( f = 1 \, \text{m} \)
- Width of the slit, \( a = 0.3 \, \text{mm} = 0.3 \times 10^{-3} \, \text{m} \)
- Distance of the third minimum from the central maximum, \( y = 5 \, \text{mm} = 5 \times 10^{-3} \, \text{m} \)
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