Six molecules of a gas in container have speeds 2 m/s, 5 m/s, 3 m/s, 6 m/s, 3 m/s, and 5 m/s. The r.m.s. speed is (a) 4 m/s (b) 1.7 m/s (c) 4.24 m/s (d) 5 m/s

Answer: (c). vrms = √((Σ v²)/(N)) Σ v² = 4 + 25 + 9 + 36 + 9 + 25 = 108 vrms = √(108/6) = √(18) ≈ 4.24 m/s So the answer is (c) 4.24 m/s.

Six molecules of a gas in container have speeds 2 m/s, 5 m/s, 3 m/s… | MHT CET 2025 (23 Apr, Shift 2)

Q12MHT CET 2025 · 23 APR · SHIFT 2Easy

Molecular Speeds & Maxwell Distribution

Six molecules of a gas in container have speeds $2\text{ m/s}, 5\text{ m/s}, 3\text{ m/s}, 6\text{ m/s}, 3\text{ m/s}$ , and $5\text{ m/s}$ . The r.m.s. speed is

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Answer: (c)

$v_{rms} = \sqrt{\frac{\sum v^2}{N}}$
$\sum v^2 = 4 + 25 + 9 + 36 + 9 + 25 = 108$
$v_{rms} = \sqrt{\frac{108}{6}} = \sqrt{18} \approx 4.24\text{ m/s}$
So the answer is (c) $4.24\text{ m/s}$ .

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