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Two discs of moment of inertia I(1) and ...

Two discs of moment of inertia `I_(1)` and `I_(2)` are rotating separately with angular velocities `omega_(1)` and `omega_(2)` respectively about perpendicular axis passing through their centres. If these two rotating discs are connected coaxially then the rotational kinetic energy of the composite system will be

A

`(I_(1)omega_(1)+I_(2)omega_(2))/(2(I_(1)+I_(2)))`

B

`((I_(1)+I_(2))(omega_(1)+omega_(2)))/(2)`

C

`((I_(1)omega_(1)+I_(2)omega_(2))^(2))/(2(I_(1)+I_(2)))`

D

`((I_(1)+I_(2))(omega_(1)+omega_(2))^(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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