First slide

Rms speed

Question

The r.m.s speed of particle of mass $5 \times 10^{- 17} k g$ The r.m.s speed of particle of mass in their random motion in air at NTP will be ( Boltzmann’s constant) K= in their random motion in air at NTP will be ( Boltzmann’s constant) $K = 1.38 \times 10^{- 23} J / K$

Easy

A

$15 \times 10 m / s$
B

$15 \times 10^{- 3} m / s$
C

$10 \times 10^{- 2} m / s$
D

$1.5 \times 10^{2} m / s$

Solution

$\begin{array}{l} v_{r . m . s} = \sqrt{\frac{3 K T}{m}} = \sqrt{\frac{3 \times 1.38 \times 10^{- 23} \times 273}{5 \times 10^{- 17}}} \\ \Rightarrow v_{r . m . s} = 15 \times 10^{- 3} m / s \end{array}$

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