A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made four times, its…
A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made four times, its angular momentum will become
- $4 \mathrm{~L}$
- $16 \mathrm{~L}$
- $\sqrt{2} \mathrm{~L}$
- $2 \mathrm{~L}$
Solution
Angular momentum,
$\begin{aligned}
\mathrm{L} & =\sqrt{2 \mathrm{KI}} \\
\mathrm{K}^\prime & =4 \mathrm{~K} \\
\therefore \quad \mathrm{L} & =\sqrt{2 \times 4 \mathrm{KI}}=2 \sqrt{2 \mathrm{KI}}=2 \mathrm{~L}
\end{aligned}$
Asked in: MHT CET 2023 (13 May Shift 1)
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