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Q.

Angular width of the central maxima in the Fraunhofer diffraction for λ = 6000 A0 is θ0 . When the same slit is illuminated by another monochromatic light, the angular width decreases by 30%. The wavelength of this light is

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a

420A0

b

1800A0

c

4200A0

d

6000A0

answer is C.

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Detailed Solution

As θ=2λaθ0=2×6000a   ....(i)θ'θ0=λ'6000  ....(ii)⇒λ'=0.7×6000  as θ'=0.7θ0⇒4200Ao
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Angular width of the central maxima in the Fraunhofer diffraction for λ = 6000 A0 is θ0 . When the same slit is illuminated by another monochromatic light, the angular width decreases by 30%. The wavelength of this light is