In Young’s double slit experiment, deduce the condition for (a) constructive, and (b) destructive interference at a point on the screen. Draw a graph showing variation of intensity in the interference pattern against position ‘x’ on the screen.

Explanation

To solve the problem, we will derive the conditions for constructive and destructive interference in Young's double slit experiment and then illustrate the variation of intensity against position on the screen.

### Step-by-Step Solution:

1. **Understanding the Setup**:
In Young's double slit experiment, two coherent light sources (slits) emit light waves that overlap and create an interference pattern on a screen.

2. **Path Difference**:
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