Home
Class 12
PHYSICS
Two rotating bodies A and B have the sam...

Two rotating bodies A and B have the same angular momentum. But M.I. `(I_(1))` of A is more than the M.I. `(I_(2))` of B. Which body has higher kinetic energy of rotation?

A

Body A

B

Body B

C

Both will have the same kinetic energy

D

Not possible to decide because the data is not sufficient

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(A)omega_(A)=I_(B)omega_(B)" but "I_(A) gt I_(B)" "therefore omega_(A) lt omega_(B) and `
`"K.E." =(1)/(2)Iomega^(2)=(1)/(2)Iomega(omega)`
`"K.E. of A"=(1)/(2)I_(A)omega_(A)(omega_(A))`
`"K.E. of B"=(1)/(2)I_(B)omega_(B)(omega_(B))`
`"but "(1)/(2)I_(A) omega_(A)=(1)/(2)I_(B)omega_(B) and omega_(B) gt omega_(A)`
`therefore" K.E. of B " gt "K.E. of A"`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 3|8 Videos

  • OSCILLATIONS

    MARVEL PUBLICATION|Exercise MCQ|368 Videos

  • SEMICONDUCTORS

    MARVEL PUBLICATION|Exercise MCQs|261 Videos

Similar Questions

Explore conceptually related problems

Two rotating bodies have same angular momentum but their moments of inertia are I1 and I2 respectively (I_1 gt I_2) . Which body will have higher kinetic energy of rotation :-

Only rotating bodies can have angular momentum.

Two bodies A and B having same angular momentum and I_(A) gt I_(B) , then the relation between (K.E.)_(A) and (K.E.)_(B) will be :

A body is rotating with angular momentum L. If I is its moment of inertia about the axis of rotation is I, its kinetic energy of rotation is

Two rotating bodies A and B of masses m and 2m with moments of inertia I_(A) and I_(B) (I_(B) gt I_(A)) have equal kinetic energy of rotation. If L_(A) and L_(B) be their angular momenta respectively, then

Two bodies of masses m_1 and m_2 have the same linear momentum. What is the ratio of their kinetic energies?

If the angular momentum of a body increases by 50%, its kinetic energy of rotation increases by

The following bodies have same mass which of them have largest M.I. ?