Question:
If the rms velocity of a gas is v, then
If the rms velocity of a gas is v, then
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If the rms velocity of a gas is v, then
Updated On: Apr 15, 2026
- $v^{2}T = \text{constant}$
- $v^{2}/T = \text{constant}$
- $vT^{2} = \text{constant}$
- v is independent of T
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The Correct Option is B
Solution and Explanation
Step 1: Formula
$$v = \sqrt{\frac{3kT}{m}}$$
Step 2: Analysis
Squaring both sides gives $v^{2} = \frac{3kT}{m}$.
Step 3: Relation
Since $k$ and $m$ are constants for a specific gas, $v^2 \propto T$.
Step 4: Conclusion
Therefore, $v^{2}/T = \text{constant}$.
Final Answer: (B)
$$v = \sqrt{\frac{3kT}{m}}$$
Step 2: Analysis
Squaring both sides gives $v^{2} = \frac{3kT}{m}$.
Step 3: Relation
Since $k$ and $m$ are constants for a specific gas, $v^2 \propto T$.
Step 4: Conclusion
Therefore, $v^{2}/T = \text{constant}$.
Final Answer: (B)
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