JEE Main 2024 — Gravitation Question with Solution
JEE Main 2024 (04 Apr Shift 1)
Question
A metal wire of uniform mass density having length and mass is bent to form a semicircular arc and a particle of mass is placed at the centre of the arc. The gravitational force on the particle by the wire is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
We have $\begin{aligned} & \mathrm{g}_0=\frac{2 \mathrm{G} \frac{\mathrm{M}}{\mathrm{L}}}{\mathrm{R}}=\frac{2 \mathrm{GM} \pi}{\mathrm{L}^2} \\ & \therefore \mathrm{F}_{\mathrm{m}}=\mathrm{mg}_0=\frac{2 \mathrm{GM} \pi \mathrm{m}}{\mathrm{L}^2} \end{aligned}$
Hence option (4)
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This is a previous-year question from JEE Main 2024, 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.