AIIMS 2017 Physics Kinetic Energy of Rolling Bodies Assertion Reason Question
In the following questions, a statement of assertion is given followed by a corresponding statement of reason. Assertion: The total kinetic energy of a rolling solid sphere is the sum of rotational and translational kinetic energy. 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 assertion is false.
Correct Answer
Detailed Explanation
Option C is correct because the assertion accurately states that the total kinetic energy (KE) of a rolling solid sphere is the sum of its translational kinetic energy (KE_trans = 1/2 mv²) and rotational kinetic energy (KE_rot = 1/2 Iω²), where I is the moment of inertia and ω is the angular velocity. However, the reason is false; the total kinetic energy is not always twice the translational kinetic energy, as this ratio depends on the object's moment of inertia and the distribution of mass. Options A and B are incorrect because they imply that the reason correctly explains the assertion, which it does not, while option D is incorrect since the assertion is true.
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