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Q.

Two sources of intensities I and 4 I and waves, which interfere to produce a resultant intensity Io at a point of phase difference π/2.I0 is equal to

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a

5 I

b

4 I

c

3I

d

I

answer is A.

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Detailed Solution

R2=a12+a22+2a1a2cos⁡θ or I0=I+4I+2I4Icos⁡π/2 or I0=I+4I+0=5I
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Two sources of intensities I and 4 I and waves, which interfere to produce a resultant intensity Io at a point of phase difference π/2.I0 is equal to