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Two sinusoidal wave having the same freq...

Two sinusoidal wave having the same frequency and travelling in the same direction are combined. What is the amplitude of the resultant motion if their amplitudes are 3cm and 4cm and they differ in phase by `pi//2` radian?

Text Solution

Verified by Experts

The correct Answer is:
`1.41 y_(m)`
`A^(2) = A_(1^(2)) + A_(2^(2)) + 2A_(1)A_(2) cosDeltaphi`
`Delta phi = (pi)/(2), A_(1) = Y_(m) , A_(2) = Y_(m)`
`Y^(2) = Y^(2) = Y^(2_(m)) + Y^(2_(m)) + 2Y^(2_(m)) xx cos'(pi)/(2)`
`Y^(2) = Y_(m^(2)) + T_(m^(2)) [Y = sqrt(2)Y_(m) = 1.41 Y_(m)]`
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