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QJEEM21Phdf28: JEE Main 2021 Physics - Class 11 JEEM21Phdf28 Solution: In the given figure, two wheels P and Q are connected by a belt …

In the given figure, two wheels P and Q are connected by a belt B. The radius of P is three times as that of Q. In case of same rotational kinetic energy, the ratio of rotational inertias (I1I2)\left( {{{{I_1}} \over {{I_2}}}} \right) will be x : 1. The value of x will be _____________.
JEE Main 2021 (Online) 27th July Evening Shift Physics - Rotational Motion Question 88 English

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JEE Main 2021 (Online) 27th July Evening Shift Physics - Rotational Motion Question 88 English Explanation
12I1(ω1)2=12I2(ω2)2{1 \over 2}{I_1}{({\omega _1})^2} = {1 \over 2}{I_2}{({\omega _2})^2}

I1(v3R)2=I2(vR)2{I_1}{\left( {{v \over {3R}}} \right)^2} = {I_2}{\left( {{v \over R}} \right)^2}

I1I2=91{{{I_1}} \over {{I_2}}} = {9 \over 1}

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