Physics Force & Motion ETEA 2022
PMDC Verified Question 68 of 137
A body covers displacement of 10m towards North and returns back to initial point by covering 10m towards south, its total displacement is:
A
20m North
B
10m South
C
0m along North-south
D
0m
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: 0m
Concept:

Displacement is a vector quantity defined strictly as the shortest straight-line distance between the final position and the initial position.

Formula:

$$ \vec{d}_{total} = \vec{d}_1 + \vec{d}_2 $$

Solution:

  • Displacement 1: \( +10 \text{ m} \) (North).


  • Displacement 2: \( -10 \text{ m} \) (South).


  • Total displacement: \( +10 + (-10) = 0 \text{ m} \).


  • Because the final position exactly overlaps the initial position, there is no net change in position. (The zero vector has no specific direction).


Why other options are incorrect:

20m would be the total scalar distance covered. 10m South ignores the initial 10m North journey.

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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