Two coherent sources are 0.2 mm apart and the fringes are observed on a screen 80cm away. It is found that with a certain monochromatic source of light, the fifth bright fringe is situated at a distance of 12 mm from the central fringe. Calculate the wavelength of light.

Explanation

To solve the problem, we will use the formula for the position of bright fringes in a double-slit interference pattern. The formula is given by:

\[ y = \frac{m \lambda D}{d} \]

where:
- \( y \) = distance of the m-th bright fringe from the central fringe,
- \( m \) = order of the fringe (in this case, \( m = 5 \)),
- \( \lambda \) = wavelength of the light,
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