Question

Two simple harmonic motions with the same amplitude and same frequency acting in the same direction are impressed on a particle. If the resultant amplitude of the particle is twice the amplitude of individual S.H.Ms, the phase difference between the two simple harmonic motions is

• A. \(\frac{2\pi}{\sqrt{3}}\)
• B. \(\frac{\pi}{2}\)
• C. \(\frac{\pi}{4}\)
• D. \(\frac{2\pi}{3}\)
• E. \(\frac{\pi}{3}\)

Hint:

For two equal SHMs: \[ R=2a\cos\frac{\phi}{2} \] Maximum resultant amplitude \(2a\) happens when phase difference is zero.

Answer 1

The Correct Option is D