If same torque is applied on two bodies having different moment of inertia

the body which is having greater moment of inertia will have more angular acceleration

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the body which is having greater moment of inertia will have lower angular acceleration

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both will accelerate with same magnitude

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none of these

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Solution

The correct option is B the body which is having greater moment of inertia will have lower angular acceleration
We know $τ = I w$
$τ_{1} = I_{1} w_{1} τ_{2} = I_{2} w_{2}$
If $τ_{1} = τ_{2}$
$\Rightarrow I_{1} q_{1} = I_{2} w_{2} \Rightarrow \frac{I_{1}}{I_{2}} = \frac{w_{1}}{w_{2}}$
$I_{1} > I_{2} \Rightarrow \frac{I_{1}}{I_{2}} > 1 \Rightarrow \frac{w_{2}}{w_{1}} > 1$ or $w_{2} > w_{1}$
Body with greater moment of Inertia will have lower angular acceleration.

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