In double slit experiment what should be the width of each slit to obtain 10 maxima of the double slit pattern within the central maxima of single slit pattern with d=2 mm.

Explanation

To solve the problem of determining the width of each slit in a double slit experiment such that there are 10 maxima within the central maximum of the single slit pattern, we can follow these steps:

### Step-by-Step Solution

1. **Understanding the Problem**: We need to find the width of each slit (denoted as \( b \)) so that 10 maxima of the double slit pattern fit within the central maximum of the single slit pattern, given that the distance between the slits (denoted as \( d \)) is 2 mm.

2. **Formula for Angular Width of Single Slit**: The angular width \( \theta \) of the central maximum in a single slit pattern is given by:
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