A particle performing uniform circular motion has angular momentum L . If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum will be

Question

A particle performing uniform circular motion has angular momentum L . If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum will be, 2 L, 4 L, L / 2, L / 4

MARKS App · Accepted Answer

Angular momentum L = I ω Rotational kinetic energy K = 1 2 I ω 2 ∴ L K = I ω × 2 I ω 2 = 2 ω ⇒ L = 2 K ω or L 1 L 2 = K 1 K 2 × ω 2 ω 1 = 2 × 2 = 4 ∴ L 2 = L 1 4 = L 4 .

Search any question & find its solution

Looking for more such questions to practice?