A rigid body of mass $M$ and radius $R$ rolls without slipping on an inclined plane of inclination $\theta ,$ under gravity. Match the type of body Column I with magnitude of the force of friction Column II.

Column I		Column II
A)	For ring	I)	$\frac{Mg\sin \theta }{2.5}$
B)	For solid sphere	II)	$\frac{Mg\sin \theta }{3}$
C)	For solid cylinder	III)	$\frac{Mg\sin \theta }{3.5}$
D)	For hallow cylinder	IV)	$\frac{Mg\sin \theta }{2}$

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.