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NEET · Physics · STD 11 - 6. system of particles and rotational motion

A disc and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first ?

  1. A Sphere
  2. B Both reach at the same time
  3. C Depends on their masses
  4. D Disc
Verified Solution

Answer & Solution

Correct Answer

(A) Sphere

Step-by-step Solution

Detailed explanation

Time taken by the body to reach the bottom when it rolls down an inclined plane without slipping is given by \(t = \sqrt {\frac{{2l\left( {1 + \frac{{{k^2}}}{{{R^2}}}} \right)}}{{g\sin \theta }}} \)