JEE Main 2025 — Oscillations Question with Solution
JEE Main 2025 (23 Jan Shift 1)
Question
A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is , where the value of is
(Acceleration due to gravity, , density of water )
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Additional buoyant force
$\begin{aligned} & g \rho a^2 x=\sigma a^3 A \\ & A=\frac{\rho}{\sigma} \frac{g}{a} x \\ & T=2 \pi \sqrt{\frac{\sigma a}{\rho g}} \end{aligned}$ Now,
$\begin{aligned} & g \rho a^2 x=\sigma a^3 A \\ & A=\frac{\rho}{\sigma} \frac{g}{a} x \\ & T=2 \pi \sqrt{\frac{\sigma a}{\rho g}} \end{aligned}$ Now,
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This is a previous-year question from JEE Main 2025, 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.