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Two rigid bodies A and B rotate with rot...

Two rigid bodies A and B rotate with rotational kinetic energies `E_(A)` and `E_(B)` respectively. The moments of inertia of A and B about the axis of rotation are `I_(A)` and `I_(B)` respectively. If `I_(A) = I_(B)//4` and E_(A)= 100 E_(B), the ratio of angular momentum (L_(A)) of A to the angular momentum (L_(B)) of B is

A

25

B

5//4

C

5

D

1//4

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  • Two rigid bodies A and B rotate with angular momenta L_(A) and L_(B) respectively. The moments of inertia of A and B about the axes of rotation are I_(A) and I_(B) respectively. If I_(A)=I_(B)//4 and L_(A)=5L_(B) , then the ratio of rotational kinetic energy K_(A) of A to the rotational kinetic energy K_(B) of B is given by

    A
    `(K_(A))/(K_(B))=25/4`
    B
    `(K_(A))/(K_(B))=5/4`
    C
    `(K_(A))/(K_(B))=1/4`
    D
    `(K_(A))/(K_(B))=100`

  • The moment of inertia of two freely rotating bodies A and B are l_(A) and l_(B) respectively. l_(A) gt l_(B) and their angular momenta are equal. If K_(A) and K_(B) are their kinetic energies,then

    A
    `K_(A)=K_(B)`
    B
    `kK_(A) ne K_(B)`
    C
    `K_(A) lt K_(B)`
    D
    `K_(A)=2K_(B)`

  • The rotational kinetic energy of a body is E and its moment of inertia is I . The angular momentum is

    A
    `EI`
    B
    `2 sqrt((EI))`
    C
    `sqrt((2EI))`
    D
    `(E)/(I)`

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