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Q.

A linear aperture whose width is 0.02 cmis placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5×10-5 cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is

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a

0.10 cm

b

0.25 cm

c

0.20 cm

d

0.15 cm

answer is D.

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Detailed Solution

Here,a=0.02 cm=2×10-4 mλ=5×10-5 cm=5×10-7 mD=60 cm=0.6 mPosition of first minima on the diffraction pattern,y1=Dλa=0.6×5×10-72×10-4=15×10-4 m=0.15 cm
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