A) \[\frac{2\pi }{3}\]
B) \[\frac{\pi }{3}\]
C) \[\frac{\pi }{\sqrt{3}}\]
D) \[\frac{2\pi }{\sqrt{3}}\]
Correct Answer: A
Solution :
[a] Let the amplitudes of the individual motions be A each. The resultant amplitude is also A. if the phase difference between two motions is \[\delta \] \[A=\sqrt{{{A}^{2}}+{{A}^{2}}+2A.A\cos \delta }=A\sqrt{2(1+cos\delta )}\]\[=2A\cos \frac{\delta }{2}\] \[\cos \frac{\delta }{2}=\frac{1}{2}\Rightarrow \delta =\frac{2\pi }{3}\]You need to login to perform this action.
You will be redirected in
3 sec