The root smoke particles mass |KTG&THERMODYNAMICSJEEMain2022

JEE MAIN 2022

29-07-2022 S2

Question

The root mean square speed of smoke particles of mass $5 \times 10^{-17}$ kg their Brownian motion in air at NTP is approximately [Given $\mathrm{k}=1.38 \times 10^{-23} \mathrm{JK}^{-1}$ ]

Select the correct option:

$60 \mathrm{~mm} \mathrm{~s}^{-1}$

$12 \mathrm{~mm} \mathrm{~s}^{-1}$

$15 \mathrm{~mm} \mathrm{~s}^{-1}$

$36 \mathrm{~mm} \mathrm{~s}^{-1}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{kT}}{\mathrm{m}}}=\sqrt{\frac{3 \times 1.38 \times 10^{-23} \times 293}{5 \times 10^{-17}}} \approx 15 \mathrm{~mm} / \mathrm{s}$

Question Tags

JEE Main

Physics

Medium

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