CBSE · Class 11 · Physics · Work, Energy and PowerThe kinetic energy $K$ of a body of mass $m$ and momentum $p$ is given by:
Step-by-Step Solution
Momentum $p = mv$ and kinetic energy $K = \frac{1}{2}mv^2$. Multiplying and dividing by $m$ gives $K = \frac{m^2v^2}{2m} = \frac{p^2}{2m}$.
Detailed Options Breakdown
Option : $p^2/m$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Work, Energy and Power.
Option 1: $p^2/(2m)$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $2pm$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Work, Energy and Power.
Option 3: $p/(2m)$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Work, Energy and Power.
💡 Study Guide: This question tests core syllabus concepts from Work, Energy and Power. For formulas, key summaries, and mock exam reference guides, read the full Work, Energy and Power Revision Notes.