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Q.

A particle undergoing simple harmonic motion has time dependent displacement given by x(t)=Asinπt90. The ratio of kinetic to potential energy of this particle at t = 210s will be:

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a

721

b

2

c

1

d

19

answer is A.

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Detailed Solution

Kinetic energy, k=12mω2A2cos2ωt

Potential energy, U=12mω2A2sin2ωt

kU=cot2ωt=cot2π3(7)=721

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