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  • Find the root mean square speed of smoke particles of kg in the Brownian motion in ai

Find the root mean square speed of smoke particles of 6\times10^{-17}kg in the Brownian motion in air at NTP is (k=1.38\times10^{-23}) (approx)

Option: 1

14mm/sec


Option: 2

115mm/sec


Option: 3

25mm/sec


Option: 4

zero


Answers (1)

best_answer

\begin{aligned} V_{\text {rms }} & =\sqrt{\frac{3 R T}{m}}=\sqrt{\frac{3 \times 1.38 \times 10^{-27} \times 293}{6 \times 10^{-17}}} \\ & =\sqrt{202.17 \times 10^{-6}} \\ & =14.218 \times 10^{-3} \mathrm{~m} / \mathrm{sec} \approx 14 \mathrm{~mm} / \mathrm{sec} \end{aligned}

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Deependra Verma

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