First slide

Rms speed

Question

The Velocities of four molecules of a gas are $\sqrt{3} m / s,$ 3m/s, 4m/s and 6m/s. the root mean square velocity V_rms is

Easy

A

8 m/s
B

6 m/s
C

4 m/s
D

2 m/s

Solution

Since we have
$V_{rms} = {(\frac{V_{1}^{2} + V_{2}^{2} + V_{3}^{2} + V_{4}^{2}}{4})}^{\frac{1}{2}}$
we get
$_{V_{rms} = {(\frac{3 + 9 + 16 + 36}{4})}^{\frac{1}{2}} \Rightarrow V_{rms} = {(\frac{64}{4})}^{1 / 2} = 4 m / s}$

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