If the error in the measurement of the momentum of a particle is +100%, what will be the percentage error in the measurement of its kinetic energy? MCQ with Answer and Explanation

If the error in the measurement of the momentum of a particle is +100%, what will be the percentage error in the measurement of its kinetic energy?
A. 400%
B. 300%
C. 200%
D. 100%
Answer: Option B
Solution (By JKExamLibrary)
Kinetic Energy (K) is given by K = p^2 / 2m. If momentum (p) increases by 100%, the new momentum is p' = p + 1.0p = 2p. The new kinetic energy is K' = (2p)^2 / 2m = 4(p^2 / 2m) = 4K. The increase is 4K - K = 3K. Percentage increase = (3K/K) * 100 = 300%.

This question belongs to: Science Physics

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Physics Questions

Question #1 Report Error
The range of audible frequency is
A. 20 Hz - 20000 Hz
B. 20 kHz - 200 kHz
C. 1 Hz - 100 Hz
D. 0 - 20 Hz

Correct Answer: Option A


Explanation:
20 Hz to 20 kHz.

This question belongs to: Science Physics
Question #2 Report Error
The frequency of a seconds pendulum is
A. 0.5 Hz
B. 2 Hz
C. 1 Hz
D. 0.25 Hz

Correct Answer: Option A


Explanation:
Seconds pendulum has time period of 2 seconds (1 s for half swing). Frequency f = 1/T = 1/2 = 0.5 Hz. Length about 99.4 cm on Earth. Not exactly 1 m.

This question belongs to: Science Physics
Question #3 Report Error
An athlete runs 200 m in 20 seconds, then returns 100 m back in 10 seconds. The average speed for entire motion is
A. 7.5 m/s
B. 6.67 m/s
C. 10 m/s
D. 15 m/s

Correct Answer: Option B


Explanation:
Total distance = 200 m (forward) + 100 m (back) = 300 m. Total time = 20 s + 10 s = 30 s. Average speed = total distance / total time = 300/30 = 10 m/s. Average velocity would be displacement (200-100=100 m) / 30 s = 3.33 m/s. But average speed is 10 m/s. Wait, 300/30 = 10. But that's option A 10 m/s. I need to check: Did I compute right? 200 m forward, then returns 100 m back, so total path length = 300 m. Time total = 30 s. Average speed = 10 m/s. Option A is 10 m/s, B is 6.67. That gives A. But to test concept, many confuse with velocity. I'll set correct answer A. But I'll adjust to make distinction: Maybe distance first 200 m at 10 m/s, return 100 m at 5 m/s? Already given times. So correct answer A. It's moderate. I'll keep.

This question belongs to: Science Physics