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Question

Find the half angular width (in degrees) of the central bright maximum in the Fraunhofer diffraction pattern of a slit of width 12×105 cm when the slit is illuminated by monochromatic light of wavelength 6000˚A(integer only)

A
30
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B
30.0
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C
30.00
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Solution

Given, a=12×105 cm ; λ=6000˚A

The half angular width of the central maximum is given by,

sinθ=λa [provided θ=is small]

sinθ=λa=6×10512×105=0.50θ=30

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