JEE Main 2025 — Gravitation Question with Solution
JEE Main 2025 (3 Apr Shift 1)
Question
Three identical spheres of mass m , are placed at the vertices of an equilateral triangle of length a. When released, they interact only through gravitational force and collide after a time seconds. If the sides of the triangle are increased to length 2 a and also the masses of the spheres are made 2 m , then they will collide after _____ seconds.
Enter your answer
Show full solutionCorrect answer: 8
Correct answer
8
Step-by-step explanation
Hence
$\begin{aligned}
& \mathrm{T} \propto \mathrm{~m}^{-1 / 2} \mathrm{G}^{-1 / 2} \mathrm{a}^{3 / 2} \\ & \mathrm{~T} \propto\left(\frac{\mathrm{a}^3}{\mathrm{~m}}\right)^{1 / 2} \\ & \mathrm{~T}=4 \times\left(\frac{2^3}{2}\right)^{1 / 2}=8 \mathrm{~s}
\end{aligned}$
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Gravitation chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2025, covering the Gravitation 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.