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Anjana Mistry
Asked: 2022-11-09T04:58:01+05:30 In:

The moments of inertia of two rotating bodies `A` and are `I_A` and `I_B(I_A gt I_B)`. If their angular momenta are equal then.
A. Kinetic energy of `A` = Kinetic energy of `B`
B. Kinetic energy of `A` gt Kinetic energy of `B`
C. Kinetic energy of `A` lt Kinetic energy of `B`
D. Kinetic energy of the two bodies cannot be compared with given data.

The moments of inertia of two rotating bodies `A` and are `I_A` and `I_B(I_A gt I_B)`. If their angular momenta are equal then.
A. Kinetic energy of `A` = Kinetic energy of `B`
B. Kinetic energy of `A` gt Kinetic energy of `B`
C. Kinetic energy of `A` lt Kinetic energy of `B`
D. Kinetic energy of the two bodies cannot be compared with given data.
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  1. Correct Answer – C
    ( c) `I_A omega_A = I_B omega_B` (Given)
    :. `(omega_A)/(omega_A) = (I_B)/(I_A)` …(i)
    Kinetic energy `= (1)/(2) I omega^2`
    :. `((K.E.)_A)/((K.E.)_B) = ((1)/(2) I_A omega_A^2)/((1)/(2) I_B omega_B^2)`
    =`(I_A)/(I_B)xx ((I_B)/(I_A))^2` (Given (i))
    =`(I_B)/(I_A)`
    As `I_A gt I_B` (Given)
    :. `(K.E.)_A lt (K.E.)_B`.

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