White coherent light (400 nm- 700 nm) is sent through the slits of a young.s double slit experiment. The separation between the slits is `0.5 mm` and the screen is 50 cm away from the slits. There is a hole in the screen at a point 1 mm from the centre.
In the above problem which wavelength have a strong intensity at the hole?

Explanation

To solve the problem, we need to determine which wavelengths of light will produce a strong intensity at a point 1 mm from the center of the screen in a Young's double slit experiment. We will use the formula for the position of bright fringes in the interference pattern.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Wavelength range: \( \lambda = 400 \, \text{nm} \) to \( 700 \, \text{nm} \)
- Slit separation: \( d = 0.5 \, \text{mm} = 0.5 \times 10^{-3} \, \text{m} \)
- Distance to screen: \( D = 50 \, \text{cm} = 0.5 \, \text{m} \)
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