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Dual Nature Of Radiation And Matter

Question
CBSEENPH12039763

The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is 1 μm. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young’s fringes can be observed on a screen placed at a distance 50 cm from the slits. If the observed fringe width is 1 cm, what is slit separation distance?
(i.e. distance between the centres of each slit.)

  • 100 μm

  • 25 μm

  • 50 μm

  • 75 μm

Solution

B.

25 μm

sin 30o = λb λ = b2 = 1 x 10-62 = 5 x 10-7 mFringe width, ω = λDd d = λDω= 5 x 10-7 x 0.51 x 10-2d = 25 μm

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