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Q.

Two beams of light having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π2 at point A and p at point B. Then the difference between the resultant intensities at A and B is

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a

2I

b

6I

c

5I

d

7I

answer is B.

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Detailed Solution

At point A, resultant intensity IA=I1+I2=I+9I=10I and  at point B, IB=I1+I2+2I1I2cosπ=10I-6I=4ISo difference=10I-4I=6I
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Two beams of light having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π2 at point A and p at point B. Then the difference between the resultant intensities at A and B is