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Question

A screen is placed 50 cm from a single slit which is illuminated with light of wavelength 6000 0A. If the distance between the first and third minima in the diffraction pattern is 3.0 mm, the width of the slit is

A
0.1mm
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B
0.2mm
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C
0.3mm
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D
0.4mm
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Solution

The correct option is B 0.2mm
The position of nth minima in the diffraction pattern is
xn=nDλd
x3x1=(31)Dλd=2Dλd

d=2Dλx3x1=2×0.50×6000×10103×103=2×104m

1078512_944107_ans_399e21e698af46ba8f2ec82e26424d9d.png

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