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The angular width of the central maximum in a single slit diffraction pattern is \( 60^{\circ} \). The width of the slit is \( 1 \mu \mathrm{m} \). The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it,
\( \mathrm{P} \) Young's fringes can be observed on a screen placed at a distance \( 50 \mathrm{~cm} \) from the slits. If the observed fringes width is \( 1 \mathrm{~cm} \), what is slit separation distance? (i.e. distance between the centres of each slit.)
W
(A) \( 75 \mu \mathrm{m} \)
(B) \( 100 \mu \mathrm{m} \)
(C) \( 25 \mu \mathrm{m} \)
(D) \( 50 \mu \mathrm{m} \)
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