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The linear superpositions of two simple harmonic motions of amplitudes A and B is

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Simple harmonic with amplitude always equal to $\sqrt{A^{2} + B^{2}}$

Simple harmonic with amplitude depends on phase A, B and phase difference between them

Simple harmonic with amplitude always equal to A+B

Not simple harmonic

answer is D.

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Detailed Solution

The amplitude of the resultant of super position of two SHMs will be dependent on the phase of two oscillations.

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