A body is executing S.H.M. When its displacement from the mean position is 4 cm and 5 cm, the corresponding velocity of the body is 10 cm/sec and 8 cm/sec. Then the time period of the body is

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2π sec

π/2sec

π sec

3π/2 sec

answer is C.

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Detailed Solution

v=ωa2−y2 ⇒10=ωa2−(4)2 and 8=ωa2−(5)2On solving A=41 and ω=2rad/s ⇒ω=2πT=2 ⇒T=πsec

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