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In a double-slit experiment, the slits are separated by 1 mm, and the screen is located 1 m away. Monochromatic light with a wavelength of 500 nm is used. What should be the slit width to ensure that the central single-slit maximum contains ten double-slit bright fringes?

1. 0.1 mm
2. 0.05 mm
3. 0.02 mm
4. 0.2 mm

Correct answer: 0.05 mm

Solution

For the central maximum of the single slit to contain 10 maxima of the double slit, the angular width of the single slit central maximum (λ/a) must equal 10 times the angular fringe width of the double slit (λD/d). Solving for 'a', we get a = 10d = 10 × 0.1 mm = 0.05 mm.

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