CBSE · Class 11 · Physics · Motion in a PlaneWhat is the centripetal acceleration of a body moving with a constant speed $v$ in a circle of radius $r$?
Step-by-Step Solution
Centripetal acceleration for uniform circular motion is directed towards the center and is given by the standard formula $a_c = \frac{v^2}{r}$.
Detailed Options Breakdown
Option : $vr$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
Option 1: $\frac{v}{r}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
Option 2: $\frac{v^2}{r}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $\frac{v}{r^2}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
💡 Study Guide: This question tests core syllabus concepts from Motion in a Plane. For formulas, key summaries, and mock exam reference guides, read the full Motion in a Plane Revision Notes.