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The kinetic energy of a particle, execut...

The kinetic energy of a particle, executing SHM, is 16 J when it is at 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 oscillation is………….

A

`pi//5s`

B

`2pi s`

C

`20pi s`

D

`5pi s`

Text Solution

Verified by Experts

The correct Answer is:
A
`E=(1)/(2)momega^(2)A^(2)oromega=sqrt((2E)/(mA^(2)))`
`T=(2pi)/(omega)=piAsqrt((2m)/(E))=pixx0.25xxsqrt((2xx5.12)/(16))=(pi)/(4)xxsqrt(0.64)=(pi)/(5)s`
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