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Four simple harmonic vibrations x(1) = 8...

Four simple harmonic vibrations `x_(1) = 8sinomegat`, `x_(2) = 6sin(omegat+pi/2)`, `x_(3)=4sin(omegat+pi)` and `x_(4) = 2sin(omegat+(3pi)/2)` are superimposed on each other. The resulting amplitude and its phase difference with `x_(1)` are respectively

A

`20, tan^(-1)(1/2)`

B

`4sqrt(2),pi/2`

C

`20, tan^(-1)(2)`

D

`4sqrt(2),pi/4`

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The correct Answer is:
D
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