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Two S.H.M.s along the same straight line...

Two S.H.M.s along the same straight line in the same direction and of the same period are given by the equations, `x_1=3" "sin(4pit+pi/6)` and `x_2=4" " sin(4pit+pi/3)`. The initial phase of the resultant motion is

A

`tan^(-1)((6+4sqrt3)/(sqrt3))`

B

`tan^(-1)((2sqrt3+3)/(2+3sqrt3))`

C

`tan^(-1)((3+4sqrt3)/(4+3sqrt3))`

D

`tan^(-1)((4+6sqrt3)/(sqrt6))`

Text Solution

Verified by Experts

The correct Answer is:
C
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