MP Board · Class 11 · Physics · Kinetic TheoryAccording to the kinetic theory of gases, the pressure $P$ exerted by an ideal gas of density $\rho$ having RMS speed $v{rms}$ is given by:
Step-by-Step Solution
From kinetic theory, pressure $P = \frac{1}{3} \rho v_{rms}^2$.
Detailed Options Breakdown
Option : $P = \frac{1}{2} \rho v_{rms}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Kinetic Theory.
Option 1: $P = \frac{1}{3} \rho v_{rms}^2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $P = \frac{2}{3} \rho v_{rms}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Kinetic Theory.
Option 3: $P = 3 \rho v_{rms}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Kinetic Theory.
💡 Study Guide: This question tests core syllabus concepts from Kinetic Theory. For formulas, key summaries, and mock exam reference guides, read the full Kinetic Theory Revision Notes.