Q 1619634510.     A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, `x_{1}(t)=A\sin \omega t` and `x_{2}(t)=A\sin(\omega t+\frac{2\pi}{3})` . Adding a third sinusoidal displacement `x_{3}(t)=B\sin(\omega t+\phi)` brings the mass to a complete rest. The values of B and `\phi` are

JEE 2011 ADVANCED Paper - 2
A

`\sqrt{2}A,\ \frac{3\pi}{4}`

B

`A,\ \frac{4\pi}{3}`

C

` \sqrt{3}A,\ \frac{5\pi}{6}`

D

`A,\ \frac{\pi}{3}`

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