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Three waves of equal frequency having amplitudes 10 $μ$ m, 4 $μ$ m and 7 $μ$ m arrive at a given point with successive phase difference of $\frac{π}{2}$ . The amplitude of the resulting wave in $μ$ m is given by

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detailed solution

Correct option is C

The wave 1 and 3 reach out of phase. Hence resultant phase difference between them is π.∴ Resultant amplitude of 1 and 3 = 10−7=3μmThis wave has phase difference of π2 with 4μm∴ Resultant amplitude = 32+42=5 μm

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