A parallel beam of light of 450 nm falls on a narrow slit and the resulting diffraction pattern is observed on a screen 1.5 m away. It is observed that the first minimum is at a distance of 3 mm from the centre of the screen. Calculate the width of the slit.

Explanation

To solve the problem, we will use the formula for the position of the first minimum in a single-slit diffraction pattern. The formula is given by:

\[ X_n = \frac{n \lambda D}{A} \]

where:
- \(X_n\) is the distance of the nth minimum from the central maximum,
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