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Q.

In a S.H.M. when the displacement is one half the amplitude, what fraction of the total energy is kinetic ?

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a

zero

b

1 /4

c

1 /2

d

3 /4

answer is D.

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Detailed Solution

In case of S.H.M.  K.E.=12mω2a2−x2 ∴  K.E. =12mω2a2−(a/2)2 ,( when x=a/2) =3412mω2a2 total energy =12mω2a2 raction of total energy = K.E.  Total energy =3412mω2a212mωa2=34
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