Physics Work & Energy SZABMU 2024
PMDC Verified Question 4 of 108
If kinetic energy of a body becomes four times of the initial value, then the new momentum will
A
Become twice of its initial value
B
Become three times of its initial value
C
Become four times of its initial value
D
Remain constant
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Become twice of its initial value
Concept:

Momentum is directly proportional to the square root of Kinetic Energy (assuming mass is constant).

Formula:

$$ p = \sqrt{2mK.E} $$

Solution:

  • Let initial momentum be \( p = \sqrt{2mK.E} \).


  • New kinetic energy is \( 4 \times K.E \).


  • New momentum \( p' = \sqrt{2m(4K.E)} = \sqrt{4} \times \sqrt{2mK.E} \).


  • \( p' = 2 \times p \).


  • The momentum becomes twice its initial value.


Why other options are incorrect:

Assuming a linear 1:1 relationship leads to Option C (four times). You must take the square root of the scalar change in K.E.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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