Coherent light from a sodium-vapour lamp is passed through a filter that blocks everything except for light of a single wavelength. It then falls on two slits separated by 0.460 mm. In the resulting interference pattern on a screen 2.20m away, adjacent bright fringes are separated by 2.82 mm. What is the wavelength ?

Explanation

To find the wavelength of the light used in the interference pattern, we can use the formula for fringe width in a double-slit interference experiment. The formula is given by:

\[ \beta = \frac{\lambda D}{d} \]

Where:
- \(\beta\) is the fringe width (distance between adjacent bright fringes),
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