If the momentum of a body is increased by 100%, its kinetic energy increases by MCQ with Answer and Explanation

If the momentum of a body is increased by 100%, its kinetic energy increases by
A. 300%
B. 400%
C. 200%
D. 100%
Answer: Option A
Solution (By JKSSB Mock Tests)
Kinetic energy K = p²/(2m). If p becomes 2p (100% increase), K' = (2p)²/(2m) = 4p²/(2m) = 4K. So increase = 4K - K = 3K, i.e., 300% increase. Common mistake: think linear. Remember quadratic relationship. Percent increase = (new-old)/old × 100% = (4K-K)/K ×100 = 300%.

Discuss this Question (0)

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

Practice More Physics Questions

Question #1
In Young's double slit experiment, if the slit separation is doubled and screen distance halved, the fringe width becomes:
A. Half
B. One-fourth
C. Same
D. Double

Correct Answer: Option B


Explanation:
Fringe width β = λD/d, where λ wavelength, D screen distance, d slit separation. New d' = 2d, new D' = D/2. Thus β' = λ(D/2)/(2d) = λD/(4d) = β/4. Fringe width reduces to one-fourth. Memory tip: 'β ∝ D/d; changes multiply'. This proportional reasoning problem tests wave optics understanding, frequently appearing in competitive exams. Always track how each parameter change affects the result; combine multiplicative factors for net effect. Verify with dimensional analysis: β has length dimension, consistent with λD/d.

This question belongs to: Science Physics
Question #2
The speed of light in vacuum is
A. 3 × 10¹⁰ m/s
B. 3 × 10⁸ m/s
C. 3 × 10⁴ m/s
D. 3 × 10⁶ m/s

Correct Answer: Option B


Explanation:
c = 2.9979 × 10⁸ m/s, commonly 3×10⁸ m/s. In glass slower. It's a universal constant, maximum speed. Used in relativity, E=mc².

This question belongs to: Science Physics
Question #3
The time period of a simple pendulum depends on
A. Amplitude of swing
B. Mass of bob
C. Nature of bob material
D. Length of pendulum and g

Correct Answer: Option D


Explanation:
T = 2π√(L/g). For small amplitudes, period independent of amplitude and mass. Depends only on effective length and acceleration due to gravity. Used in pendulum clocks.

This question belongs to: Science Physics