Question:
For a particle performing S.H.M. the displacement - time graph is shown.
For a particle performing S.H.M. the displacement - time graph is shown.
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$F \propto -x$: If $x$ is positive, $F$ is negative. If $x$ is at a maximum, $F$ is at a minimum.
Updated On: May 12, 2026
- (a)
- (b)
- (c)
- (d)
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The Correct Option is B
Solution and Explanation
Step 1: Concept
In Simple Harmonic Motion, the restoring force is directly proportional to the displacement but acts in the opposite direction ($F = -kx$).
Step 2: Meaning
The force-time graph must be an exact reflection of the displacement-time graph across the time axis (180° phase difference).
Step 3: Analysis
The given $x-t$ graph is a sine curve starting from the origin. Therefore, the $F-t$ graph must be a negative sine curve ($F \propto -x$).
Step 4: Conclusion
Graph (b) correctly represents this negative relationship. Final Answer: (B)
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