Fraunhofer diffraction from a single slit of width 'a' is observed with a parallel beam of light of 500 nm and the resulting diffraction pattern is observed on a screen 1.2 m away. The first minimum is observed at a distance of 2.5 mm from the centre of the screen. Find the value of 'a' .

Explanation

To solve the problem of finding the width 'a' of the single slit in the context of Fraunhofer diffraction, we can use the formula for the position of the first minimum in the diffraction pattern. The formula is given by:

\[ x_1 = \frac{\lambda D}{a} \]

Where:
- \( x_1 \) is the distance of the first minimum from the center of the screen,
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