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. 225%
B. 50%
C. 100%
D. 125%
Answer: Option D
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.

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Practice More Physics Questions

Question #1
The time period of oscillation of a mass M attached to a spring of force constant k is:
A. 2π√(k/M)
B. 2π√(g/l)
C. π√(M/k)
D. 2π√(M/k)

Correct Answer: Option D


Explanation:
For spring-mass system undergoing SHM, time period T = 2π√(M/k), derived from F = -kx = Ma ⇒ a = -(k/M)x, so ω² = k/M, T=2π/ω=2π√(M/k). Option B has inverse ratio; C misses factor 2; D is for pendulum. Memory tip: 'Spring: T ∝ √(M/k); Pendulum: T ∝ √(l/g)'. This standard formula is frequently tested in oscillations sections of competitive exams. Always verify dimensions: √(kg / (N/m)) = √(kg·m/N) = √(s²) = s, correct for time period.

This question belongs to: Science Physics
Question #2
The number of significant figures in 0.00450 is
A. 5
B. 4
C. 2
D. 3

Correct Answer: Option D


Explanation:
Leading zeros not significant. '450' has three digits, but the trailing zero after decimal is significant (4,5,0). So 3 significant figures. 0.00450 is 3 SF.

This question belongs to: Science Physics
Question #3
Series LCR at resonance: impedance is:
A. Maximum
B. Infinite
C. Minimum (=R)
D. Zero

Correct Answer: Option C


Explanation:
Resonance: X_L = X_C ⇒ they cancel ⇒ Z = R (minimum). Current maximum at resonance. Memory tip: 'Series resonance: Z_min = R; parallel: Z_max'. AC circuit concept frequently tested in competitive exams.

This question belongs to: Science Physics