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Question

Statement 1: A wheel moving down frictionless inclined plane will slip and not roll on the plane.
Statement 2: It is the frictional force which provides a torque necessary for a body to roll on a surface.

A
Statement 1 is false, Statement 2 is true
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B
Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1
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C
Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1
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D
Statement 1 is true, Statement 2 is false
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Solution

The correct option is B Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1
The surface is smooth, thus there is no friction .
As net torque about the point O is zero α=0
Thus the wheel will do only translational motion but not rotational motion.
Also, the frictional force provides the torque about O necessary for a body to exhibit rotational motion.
Hence statement 1 is true, statement 2 is true; Statement 2 is a correct explanation for Statement 1

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