Q.

At two particular closest instants of time t1 and t2, the displacements of a particle performing SHM are equal. At these instants.

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a

instantaneous speeds are equal.

b

instantaneous acceleration are equal.

c

phases of the motion are unequal.

d

all of the above

answer is D.

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Detailed Solution

At t = t1 and t = t2 the particle is at some point P where speeed is and acceleration is ω2x.The velocity vectors are oppositely directed. Therefore phases of the particle at these two instants must be different.
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At two particular closest instants of time t1 and t2, the displacements of a particle performing SHM are equal. At these instants.