If the momentum of a body is increased by 50%, what will be the percentage increase in its kinetic energy? MCQ with Answer and Explanation

If the momentum of a body is increased by 50%, what will be the percentage increase in its kinetic energy?
A. 50%
B. 125%
C. 100%
D. 225%
Answer: Option B
Solution (By JKSSB Mock Tests)
Kinetic energy (K) and momentum (p) are related by K = p^2 / 2m. If momentum increases by 50%, the new momentum p' = p + 0.5p = 1.5p. The new kinetic energy K' = (1.5p)^2 / 2m = 2.25 (p^2 / 2m) = 2.25 K. This means K has increased by 1.25 K, which is a 125% increase. Understanding quadratic relationships is crucial for such problems.

Discuss this Question (0)

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

Practice More Physics Questions

Question #1
SONAR uses waves of frequency:
A. Any frequency
B. > 20 kHz
C. 20 Hz - 20 kHz
D. < 20 Hz

Correct Answer: Option B


Explanation:
SONAR uses ultrasonic waves (>20 kHz) for better directionality, resolution, and reduced absorption in water. Audible sound (20Hz-20kHz) diffracts more; infrasonic (

This question belongs to: Science Physics
Question #2
The weight of a body on a planet is 100 N. If planet's radius is half and density same as Earth, weight becomes
A. 200 N
B. 25 N
C. 50 N
D. 100 N

Correct Answer: Option C


Explanation:
g = GM/R² = G (ρ 4/3 π R³)/R² ∝ ρ R. If radius half, density same, g becomes half. Weight half = 50 N.

This question belongs to: Science Physics
Question #3
In a transistor, the current gain β is defined as:
A. I_C / I_E
B. I_B / I_C
C. I_E / I_C
D. I_C / I_B

Correct Answer: Option D


Explanation:
For a bipolar junction transistor (BJT) in common-emitter configuration, DC current gain β = I_C / I_B, where I_C is collector current, I_B base current. Typical β values range 20-200. Option D is α (common-base gain). Memory tip: 'β = collector current / base current; large β means small base current controls large collector current'. This definition-based question tests electronics fundamentals, frequently examined in competitive exams. Always distinguish β (CE configuration) from α (CB configuration) and their relationship: β = α/(1-α).

This question belongs to: Science Physics