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Q.

Two bodies with moments of inertia I1 and I2I1>I2 have equal angular momenta. If their kinetic energies of rotation are E1 and E2, respectively, then

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a

E1=E2

b

E1

c

E1>E2

d

E1≥E2

answer is B.

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Detailed Solution

E1=12I1ω12=12I1ω1ω1=12kω1 Now I1ω1=I2ω2=k (say)  E2=12I2ω22=12I2ω2ω2=12kω2I1>I2 and ω2>ω1 so,  E2>E1
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Two bodies with moments of inertia I1 and I2I1>I2 have equal angular momenta. If their kinetic energies of rotation are E1 and E2, respectively, then