In the diffraction pattern, the first maximum is at 30^ , when a monochromatic light of wavelength is incident on a slit of width a . For the same wavelength, if the slit width is changed, so that first maximum is at 45^ . The slit width is

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In the diffraction pattern, the first maximum is at 30^ , when a monochromatic light of wavelength is incident on a slit of width a . For the same wavelength, if the slit width is changed, so that first maximum is at 45^ . The slit width is changed by ( 30^ = 1 2 , 45^ = 1 2 )

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Correct answer: A. 3 ( 2 -1 2 )

The condition for the first secondary maximum in a single slit diffraction pattern is given by: a = 3 2 For the initial case, ₁ = 30^ : a₁ 30^ = 3 2 a₁ ( 1 2 ) = 3 2 a₁ = 3 For the final case, ₂ = 45^ : a₂ 45^ = 3 2 a₂ ( 1 2 ) = 3 2 a₂ = 3 2 2 = 3 2 The change in slit width is: a = a₁ - a₂ = 3 - 3 2 = 3 ( 2 -1 2 ) Answer: 3 ( 2 -1 2 )

In the diffraction pattern, the first maximum is at 30^ , when a monochromatic light of wavelength is incident on a slit of width a . For the same wavelength, if the slit width is changed, so that first maximum is at 45^ . The slit width is changed by ( 30^ = 1 2 , 45^ = 1 2 )

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