AIIMS 2018 Physics Torque MCQ Question
Assertion: Torque on a body can be zero even if there is a net force on it.
Reason: Torque and force on a body are always perpendicular.
If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Correct Answer
Detailed Explanation
Torque (τ) is calculated using the formula τ = r × F × sin(θ), where r is the moment arm (the perpendicular distance from the axis of rotation to the line of action of the force), F is the applied force, and θ is the angle between the force and the moment arm. For torque to be zero while a force is applied, either the moment arm must be zero (option C) or the force must be zero (option B). Option A is incorrect because if the line of action of the force passes through the axis of rotation, the moment arm is zero, leading to zero torque. Option D is also incorrect since an angle of 90° would yield maximum torque, not zero.
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