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Question

Consider the shown arrangement in which a monochromatic source (S) of light, a plane mirror of length D and a large screen are placed as shown in figure. If Δy is the length of screen in which interference pattern is observed and M is total number of maxima on the screen then

A
Δy=1 mm
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B
Δy=1.5 mm
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C
M=10
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D
M=15
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Solution

The correct option is C M=10

OP2D=d2DOP=d

dD=OQ3DOQ=3d

From both equations:

Δy=2d=1 mm

Also, we know that:
yd2D=(n12)λ

or ydn5.5,n15.5

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