The moment of inertia of a body about the given axis, rotating with angular velocity 1 rad / s is numerically equal to ' P ' times its rotational kinetic energy. The value of ' P ' is

Correct answer: (C) 2. The angular velocity ω=1 rad / s I=P · (1/2 I ω^2 ) ∴ P=2

Q124 / 150 · MHT CET 2021 (24 Sep Shift 1) · Physics

The moment of inertia of a body about the given axis, rotating with angular velocity $1 \mathrm{rad} / \mathrm{s}$ is numerically equal to ' $\mathrm{P}$ ' times its rotational kinetic energy. The value of ' $\mathrm{P}$ ' is

A
$\frac{1}{4}$
B
$\frac{1}{2}$
Correct answer
C
$2$
D
$1$

Solution

The angular velocity $$ \begin{aligned} & \omega=1 \mathrm{rad} / \mathrm{s} \\ & I=P \cdot\left(\frac{1}{2} I \omega^2\right) \\ & \therefore P=2 \end{aligned} $$

Hence, the correct answer is option: 'C'.

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