JEE Main 2026 — Oscillations Question with Solution
JEE Main 2026 (23 January Shift 1)
Question
A simple pendulum of string length 30 cm performs 20 oscillations in 10 s. The length of the string required for the pendulum to perform 40 oscillations in the same time duration is cm. [Assume that the mass of the pendulum remains same.]
Choose an option
Show full solutionCorrect option: A
Correct answer
A7.5
Step-by-step explanation
Period of simple pendulum:
Initial period: s
Required period: s
Using , the ratio is:
cm
Initial period: s
Required period: s
Using , the ratio is:
cm
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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.