A particle of mass moves under a central force directed toward a fixed point . At some instant, its position and velocity vectors are and , respectively. Suppose the force suddenly changes in magnitude but remains radial. Which of the following statements is correct?

The angular momentum remains conserved because the torque about is zero Explanation: Definition of Torque: The torque acting on a particle relative to a reference point is defined by the cross product of the position vector and the force vector : Nature of Central/Radial Forces: A force is strictly central or radial when it always points directly toward or away from a fixed center point . This means the force vector is always parallel or anti-parallel to the position vector . Mathematically, it can be written as: Calculating the Torque: Since and are along the same line, their vector cross product is zero because the angle between them is either or ( ): Even if the force suddenly changes its magnitude, as long as it remains radial, the cross product remains exactly zero. Conservation of Angular Momentum: According to Newton's second law for rotational motion, torque is equ

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AMU 2026 — science PYQ

AMU | science | 2026

A particle of mass $m$ moves under a central force $F (r)$ directed toward a fixed point $O$ . At some instant, its position and velocity vectors are $r$ and $v$ , respectively. Suppose the force suddenly changes in magnitude but remains radial. Which of the following statements is correct?

AMU 2026 — science PYQ

Choose the correct answer:

Explanation

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Explanation

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