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Question

The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio ImaxIminImax+Imin will be


A
2n(n+1)2
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B
nn+1
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C
2nn+1
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D
n(n+1)2
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Solution

The correct option is C 2nn+1

I2=nI1
Maximum intensity of interference, Imax=(I1+I2)2
Imax=(I1+nI1)2
Imax=(1+n)2I1=(1+n+2n)I1

Minimum intensity of interference Imin=(I1I2)2

Imin=(I1nI1)2
Imin=(1n)2I1=(1+n2n)I1

ImaxIminImax+Imin=2n(2n)2(1+n)
=2nn+1


Physics

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