Physics Simple Harmonic Motion (Oscillations) All Topic Question for Revision Test MCQ (Single Correct)

In order that the resultant path on superimposing two mutually perpendicular SHM be a circle, the conditions are that

A
the amplitudes on both SHM should be equal and they should have a phase difference of
B
the amplitudes should be in the ratio 1:2 and the phase difference should be zero
C
the amplitudes should be in the ratio 1:2 and the phase difference should be
D
the amplitudes should be equal and the phase difference should be zero

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Text Solution

Verified by Experts
The correct answer is:
A

Suppose and

Then, by squaring and adding these two equations, we get

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