MHT CET · Physics · Rotational Motion
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 \(\frac{1}{2}\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
The angular velocity
\(\begin{aligned}& \omega=1 \mathrm{rad} / \mathrm{s} \\& I=P \cdot\left(\frac{1}{2} I \omega^2\right) \\& \therefore P=2
\end{aligned}\)
\(\begin{aligned}& \omega=1 \mathrm{rad} / \mathrm{s} \\& I=P \cdot\left(\frac{1}{2} I \omega^2\right) \\& \therefore P=2
\end{aligned}\)
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