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Question

# The interference pattern is obtained with two coherent light source of intensity ratio n. In the interference pattern, the ratio Imax−IminImax+Imin will be2√n(n+1)2√nn+12√nn+1√n(n+1)2

A
2nn+1
B
n(n+1)2
C
2n(n+1)2
D
nn+1
Solution
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#### Given : I2=nI1Maximum intensity of interference Imax=(√I1+√I2)2∴ Imax=(√I1+√nI1)2=(1+√n)2I1=(1+n+2√n)I1Minimum intensity of interference Imin=(√I1−√I2)2∴ Imin=(√I1−√nI1)2=(1−√n)2I1=(1+n−2√n)I1∴ Imax−IminImax+Imin=2√n−(−2√n)2(1+n)=2√n1+n

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