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Question

A single slit of width a is illuminated by violet light of wavelength 400 nm. The width of the central maximum is measured as y. When half of the slit width is covered and illuminated by yellow light of wavelength 600 nm, the width of the central maximum is,

A
zero and the patten vanishes
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B
y3
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C
3y
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D
none of these
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Solution

The correct option is C 3y
In single slit experiment width of central maximum, y=2β=2λDa
yλa
yy=λλ×aa=600400×a(a2)
y=3y

Hence, (C) is the correct answer.

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