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Question

Three waves of equal frequency having amplitudes 10 μm, 4 μm and 7 μm arrive at a given point with a successive phase difference of π/2. The amplitude of the resulting wave is μm in given by

A
7
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B
6
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C
5
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D
4
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Solution

The correct option is C 5
The wave 1 & 3 out of phase. Hence resultant phase difference between then is π
Resultant amplitude of 1 & 3=107=3μm
This wave has phase difference of π2 with 4μm
Resultant amplitude
=32+42=5μm
Hence option (C) is correct


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