Physics · Rotational Dynamics

JEE Main 2024 — 27 January, Shift 2 — Question 55

A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is 7x\frac{7}{x} where xx is

Answer: 7

Numerical answer — enter this value.

Step-by-step solution

In pure rolling work done by friction is zero. Hence potential energy is converted into kinetic energy.

Since initially the ring and the sphere have same potential energy, finally they will have same kinetic energy too.

∴\therefore Ratio of kinetic energies =1=1 ⇒7x=1⇒x=7\Rightarrow \frac{7}{\mathrm{x}}=1 \Rightarrow \mathrm{x}=7

Answer key and solution verified before publishing.

Practise Rotational Dynamics

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Exam
JEE Main 2024
Subject
Physics
Chapter
Rotational Dynamics
Topic
Rolling Motion
A ring and a solid sphere roll down the same inclined plane without… | JEE Main 2024 PYQ with Solution · DhiX AI