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Question

Physics Question on Youngs double slit experiment

In Young's double slit experiment, one of the slits is wider than the other, so that the amplitude of light from one slit is double of that from the other slit. If Im is the maximum intensity, what is the resultant intensity when they interfere at phase difference Q?

A

Im9(18cos2Q2)\frac{I_m}{9}(1-8cos^2\frac{Q}{2})

B

Im9(1+8cos2Q2)\frac{I_m}{9}(1+8cos^2\frac{Q}{2})

C

Im9(18cos2Q)\frac{I_m}{9}(1-8cos^2Q)

D

Im9(1+sin2Q2)\frac{I_m}{9}(1+sin^2\frac{Q}{2})

Answer

Im9(1+8cos2Q2)\frac{I_m}{9}(1+8cos^2\frac{Q}{2})

Explanation

Solution

The correct option is (B) : Im9(1+8cos2Q2)\frac{I_m}{9}(1+8cos^2\frac{Q}{2})