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

Question

Dr. Abubacker · Accepted Answer

(c) The wave 1 and 3 reach out of phase. Hence resultant phase difference between them is $\pi.$
$	herefore$ Resultant amplitude of 1 and 3 $= 10 - 7 = 3\ \mu m$
This wave has phase difference of $\frac{\pi}{2}$ with $4\ \mu m$
$	herefore$ Resultant amplitude $= \sqrt{3^{2} + 4^{2}} = 5\ \mu m$

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

Explanation

Reviewed by Dr. Abubacker

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