Question

A particle moves in a straight line with a constant angular acceleration then its angular momentum is ....................... (about any fixed point).

• A. Constant
• B. Directly proportional to time
• C. Inversely proportional to time
• D. Inversely proportional to the distance covered

Answer 1

Answer: (B)

Directly proportional to time

Particle moves with constant angular $\alpha$

We know $\alpha =\frac{dl}{dt}$

$L=\int \alpha \cdot dt=\alpha t$

$\therefore$ Angular momentum is directly proportional to time.