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Q.

Average velocity of a particle executing SHM in one complete vibration is

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a

b

Aω22

c

zero

d

Aω2

answer is C.

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Detailed Solution

The average velocity of a particle executing simple harmonic motion (SHM) is                          νav= Total displacement  Time interval =xf-xiTwhere, xf and xi are the initial and final position of the particle executing SHM.As in SHM, the particle executes motion about its mean position. So, after one complete oscillation by the particle, it will reaches its initial position, i.e.Displacement, xf-xi = 0∴                       vav=0THence, the average velocity is zero.
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