Physics Rotational & Circular Motion BUMHS 2024
PMDC Verified Question 25 of 95
A body of mass m moving in a circle of radius is executing a uniform circular motion. If the mass of the body is doubled then the centripetal force acting upon the body is
A
Reduced to half
B
Remains same
C
Doubled
D
None of the given options
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: Doubled
Concept:

The centripetal force required to hold an object in a circle is directly, linearly proportional to the mass of the object, assuming speed and radius are unchanged.

Formula:

$$ F_c = \frac{mv^2}{r} $$

Solution:

  • Let initial force be \( F = \frac{mv^2}{r} \).
  • If the new mass is \( 2m \), substitute it into the formula.
  • New force \( F' = \frac{(2m)v^2}{r} = 2 \left(\frac{mv^2}{r}\right) \).
  • Therefore, \( F' = 2F \), meaning the required force is Doubled.


Why other options are incorrect:

  • Option A assumes an inverse relationship.
  • Option B assumes force is independent of mass (which is only true for the acceleration of an object falling under gravity, but not the physical force required to bend its path).

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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