The root mean square speed of smoke particles of mass $5 \times 10^{-17}\,kg$ in their Brownian motion in air at NTP is approximately $.......\,mm\,s ^{-1}$ [Given $k =1.38 \times 10^{-23}\,J\,K ^{-1}$ ]
A$60$
B$12$
C$15$
D$36$
JEE MAIN 2022, Medium
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C$15$
c $V _{\text {rms}}=\sqrt{\frac{3 kT }{ m }}=\sqrt{\frac{3 \times 1.38 \times 10^{-23} \times 293}{5 \times 10^{-17}}}$
$\approx 15\,mm / s$
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