Assertion: The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane, compared to, when it rolling down the same plane. Reason: In rolling down a body acquires both, kinetic energy of translation and rotation.

Question

Assertion: The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane, compared to, when it rolling down the same plane. Reason: In rolling down a body acquires both, kinetic energy of translation and rotation. (A) If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion. (B) If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion. (C) If Assertion is true but Reason is false. (D) If both Assertion and Reason are false.

Tardigrade Admin · Accepted Answer

In sliding down, the entire potential energy of body is converted only into translational energy. While in rolling motion, some part of potential energy is converted into kinetic energy of rotation and rest into kinetic energy of translation. Therefore, in sliding motion, the velocity acquired by the body is more.

Q. Assertion: The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane, compared to, when it rolling down the same plane. Reason: In rolling down a body acquires both, kinetic energy of translation and rotation.

If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.

If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.

If Assertion is true but Reason is false.

If both Assertion and Reason are false.

Q. Assertion: The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane, compared to, when it rolling down the same plane.
Reason: In rolling down a body acquires both, kinetic energy of translation and rotation.