In a single slit diffraction pattern, the distance between the first minimum on the left and the first minimum on the right is 5 m m . The screen on which the diffraction pattern is displayed is at a

Question

In a single slit diffraction pattern, the distance between the first minimum on the left and the first minimum on the right is 5 m m . The screen on which the diffraction pattern is displayed is at a distance of 80 c m from the slit. The wavelength is 6000 Å . The slit width in m m is about

TestHub · Accepted Answer

Slit width, w = Dλ d Given, D = 80 cm = 80 × 10 - 2 m λ = 6000 Å = 6000 × 10 - 10 m d = 5 2 mm = 5 2 × 10 - 3 m ∴ w = 80 × 10 - 2 × 6000 × 10 - 10 × 2 5 × 10 - 3 w = 0 .192 × 10 - 3 m = 0 .192 mm

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