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QJEEM24Ph4fdc: JEE Main 2024 Physics - Class 11 JEEM24Ph4fdc Solution: A ring and a solid sphere roll down the same inclined plane…

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 _________.

Step-by-Step Verified 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}{x}=1 \Rightarrow x=7

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