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Q.

The kinetic energy of a particle, executing S.H.M. is 16 J, when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillations is

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a

π/2sec

b

2πsec

c

20π sec

d

π/5sec

answer is D.

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Detailed Solution

Here 12MA2ω2=16 joule  Given that A=25cm=0⋅25m M=5.12kg  and  ω=2π/T ∴ 12×(5⋅12)(0⋅25)24π2/T2=16  Solving,weget T=π/5sec.
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The kinetic energy of a particle, executing S.H.M. is 16 J, when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillations is