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In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light wavelength
500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern ?
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- 0.1 mm
- 0.5 mm
- 0.02 mm
- 0.2 mm
Correct Option: D
Here, distance between two slits,
d = 1 mm = 10–3 m
distance of screen from slits, D = 1 m
wavelength of monochromatic light used,
λ = 500 nm = 500 × 10–9 m
width of each slit a = ?
Width of central maxima in single slit pattern
| = | a |
Fringe width in double slit experiment
| β = | d |
So,required condition
| = | ||||
| d | a |
| ⇒ a = | = | × 10-3 m = 0.2 mm | ||
| 5D | 5 |
