Physics Work & Energy BUMHS 2024
PMDC Verified Question 18 of 108
If a force of 1 N acts upon a body as it moves through a displacement of 0.5 m at an angle of 60° with the direction of force then the work done is
A
0.25 J
B
0.5 J
C
10 J
D
+4 J
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: 0.25 J
Concept:

Use the standard work equation accounting for the angle between the force vector and the displacement vector.

Formula:

$$ W = Fd \cos \theta $$

Solution:

  • Force (\( F \)) = 1 N


  • Displacement (\( d \)) = 0.5 m


  • Angle (\( \theta \)) = 60°


  • \( \cos(60^{\circ}) = 0.5 \)


  • \( W = 1 \times 0.5 \times 0.5 = 0.25 \text{ J} \).


Why other options are incorrect:

Ignoring the angle (assuming \( \cos \theta = 1 \)) yields 0.5 J (Option B). The other options are mathematically unrelated.

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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