JEE Main 2026 — Oscillations Question with Solution
JEE Main 2026 (04 April Shift 1)
Question
The velocity of a particle executing simple harmonic motion along -axis is described as , where represents displacement. If the time period of motion is s, the value of is _____.
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Show full solutionCorrect answer: 44
Correct answer
44
Step-by-step explanation
The given equation is
Differentiating with respect to :
Since acceleration , we get:
Comparing this with the standard equation of SHM , we get:
rad/s
The time period of the motion is given by:
Taking , we get:
s
Given that the time period is s, comparing the two gives:
Answer:
Differentiating with respect to :
Since acceleration , we get:
Comparing this with the standard equation of SHM , we get:
rad/s
The time period of the motion is given by:
Taking , we get:
s
Given that the time period is s, comparing the two gives:
Answer:
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This is a previous-year question from JEE Main 2026, covering the Oscillations chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.