The r.m.s. velocity of the gas molecules moving with velocities $2 m / s, 4 m / s$ and $6 m / s$ is:

2.8 m / s

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3.0 m / s

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3.8 m / s

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4.32 m / s

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Solution

The correct option is A $4.32 m / s$
Root mean square (r.m.s) velocity of gas is defined as the square root of mean of square of velocities of the particles.
Mathematically, r.m.s. velocity $v = \sqrt{\frac{v_{1}^{2} + v_{2}^{2} + v_{3}^{2}}{3}}$
$∴$ $v = \sqrt{\frac{2^{2} + 4^{2} + 6^{2}}{3}} = \sqrt{\frac{56}{3}}$
$⟹$ $v = 4.32$ $m / s$

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The r.m.s. velocity of the gas molecules moving with velocities 2m/s,4m/s and 6m/s is:

The correct option is A 4.32 m/sRoot mean square (r.m.s) velocity of gas is defined as the square root of mean of square of velocities of the particles.Mathematically, r.m.s. velocity v=√v21+v22+v233∴ v=√22+42+623=√563⟹ v=4.32 m/s

The r.m.s. velocity of the gas molecules moving with velocities $2 m / s, 4 m / s$ and $6 m / s$ is: