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Q.

A particle is executing simple harmonic motion with a period of T seconds and amplitude a in metre. The shortest time it takes to reach a point a2m from its mean position in seconds is

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a

T16

b

T8

c

T

d

T4

answer is C.

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Detailed Solution

y=asin2πTt

⇒          a2=asin2πT·t

⇒        sin2πTt=12=sinπ4

⇒               2πTt=π4

∴                     t=T8

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