NCERT · Class 11 · Physics · Kinetic TheoryIf the absolute temperature of a gas is increased by $4$ times, its RMS speed will become:
Step-by-Step Solution
RMS speed $v_{rms} \propto \sqrt{T}$. If $T'=4T$, then $v'{rms} = \sqrt{4T} = 2 \sqrt{T} = 2 v{rms}$. Thus, it doubles.
Detailed Options Breakdown
Option : 2 times (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 4 times
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Kinetic Theory.
Option 2: 16 times
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Kinetic Theory.
Option 3: Half
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.