Question

If there is a change of angular momentum from 1 J·s to 4 J·s in 4 seconds, then the torque is

• A. \( 1 \, \text{J} \)
• B. \( \frac{3}{4} \, \text{J} \)
• C. \( \frac{5}{4} \, \text{J} \)
• D. \( \frac{4}{3} \, \text{J} \)

Hint:

For torque questions, remember the formula \( \tau = \frac{\Delta L}{\Delta t} \) and use the change in angular momentum over time.

Answer 1

The Correct Option is B

Step 1: Formula for torque.
Torque \( \tau \) is related to the change in angular momentum \( \Delta L \) and time \( t \) by: \[ \tau = \frac{\Delta L}{\Delta t} \] Substituting the values \( \Delta L = 4 - 1 = 3 \, \text{J·s} \) and \( \Delta t = 4 \, \text{seconds} \): \[ \tau = \frac{3}{4} \, \text{J} \]
Step 2: Conclusion.
Thus, the correct answer is (B) \( \frac{3}{4} \, \text{J} \).