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A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made four times, its angular momentum will become
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Verified Answer
The correct answer is:
$2 \mathrm{~L}$
Angular momentum,
$$
\begin{aligned}
\mathrm{L} & =\sqrt{2 \mathrm{KI}} \\
\mathrm{K} & =4 \mathrm{~K} \\
\therefore \quad \mathrm{L} & =\sqrt{2 \times 4 \mathrm{KI}}=2 \sqrt{2 \mathrm{KI}}=2 \mathrm{~L}
\end{aligned}
$$
$$
\begin{aligned}
\mathrm{L} & =\sqrt{2 \mathrm{KI}} \\
\mathrm{K} & =4 \mathrm{~K} \\
\therefore \quad \mathrm{L} & =\sqrt{2 \times 4 \mathrm{KI}}=2 \sqrt{2 \mathrm{KI}}=2 \mathrm{~L}
\end{aligned}
$$
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