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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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a
2π sec
b
π/2sec
c
π sec
d
3π/2 sec

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detailed solution

Correct option is C

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


Similar Questions

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92×103m . What must be the least period of these oscillations, so that the object is not detached from the platform 


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