MHT CET · Physics · Center of Mass Momentum and Collision
A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made four times, its angular momentum will become
- A \(4 \mathrm{~L}\)
- B \(16 \mathrm{~L}\)
- C \(\sqrt{2} \mathrm{~L}\)
- D \(2 \mathrm{~L}\)
Answer & Solution
Correct Answer
(D) \(2 \mathrm{~L}\)
Step-by-step Solution
Detailed explanation
Angular momentum,
\(\mathrm{L} =\sqrt{2 \mathrm{KI}}\)
\(\mathrm{K} =4 \mathrm{~K}\)
\(\therefore \mathrm{L} =\sqrt{2 \times 4 \mathrm{KI}}=2 \sqrt{2 \mathrm{KI}}=2 \mathrm{~L}\)
\(\mathrm{L} =\sqrt{2 \mathrm{KI}}\)
\(\mathrm{K} =4 \mathrm{~K}\)
\(\therefore \mathrm{L} =\sqrt{2 \times 4 \mathrm{KI}}=2 \sqrt{2 \mathrm{KI}}=2 \mathrm{~L}\)
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