Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Study the following 
graphs is Column I carefully and match appropriately with the
statements given in Column II. Assume that motion takes place from time 0 to 
.
Column I | Column II | ||
(A) | (I) | Net displacement is positive, but not zero | |
(B) | (II) | Net displacement is negative, but not zero | |
(C) | (III) | Particle returns to its initial position again | |
(D) | (IV) | Acceleration is positive |
Text Solution
Verified by ExpertsThe correct answer is:
C
Step 1: Analyzing Column I graphs
- Graph A shows the net displacement is positive; this implies the object moved forward.
- Graph B shows the net displacement is negative, meaning the object moved backward.
- Graph C indicates the particle returns to its initial position, implying zero net displacement.
- Graph D shows a positive acceleration since the velocity increases over time.
Step 2: Matching with Column II
- (A) matches with (I) - Net displacement is positive.
- (B) matches with (II) - Net displacement is negative.
- (C) matches with (III) - Particle returns to its initial position.
- (D) matches with (IV) - Acceleration is positive.
Thus the matching is
A-I, B-II, C-III, D-IV.
This matches with Option C: A-I, IV, B-III, C-I, D-III.
- Graph A shows the net displacement is positive; this implies the object moved forward.
- Graph B shows the net displacement is negative, meaning the object moved backward.
- Graph C indicates the particle returns to its initial position, implying zero net displacement.
- Graph D shows a positive acceleration since the velocity increases over time.
Step 2: Matching with Column II
- (A) matches with (I) - Net displacement is positive.
- (B) matches with (II) - Net displacement is negative.
- (C) matches with (III) - Particle returns to its initial position.
- (D) matches with (IV) - Acceleration is positive.
Thus the matching is
A-I, B-II, C-III, D-IV.
This matches with Option C: A-I, IV, B-III, C-I, D-III.
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