AIIMS 2017 Physics Kinetic Energy of Rolling Objects Assertion Reason Question
Assertion: The total kinetic energy of a rolling solid sphere is the sum of translational and rotational kinetic energies. Reason: For all solid bodies, total kinetic energy is always twice of translational kinetic energy.
If both assertion and reason are true and reason is correct explanation of assertion.
If both assertion and reason are true and reason is not correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Correct Answer
Detailed Explanation
The assertion is true because the total kinetic energy (KE) of a rolling solid sphere is indeed the sum of its translational kinetic energy (KE_trans = ½mv²) and rotational kinetic energy (KE_rot = ½Iω²), where I is the moment of inertia and ω is the angular velocity. However, the reason is false; for a solid sphere, the total kinetic energy is not always twice the translational kinetic energy; it is actually 2.5 times the translational kinetic energy due to the relationship between translational and rotational motion. Options A and B are incorrect because they assert the reason is a correct explanation of the assertion, which it is not, while option D is incorrect as the assertion is true.
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