# The expression of mean square speed is

1. A

$\sqrt{3RT/M}$

2. B

$\sqrt{3{k}_{\mathrm{B}}T/m}$

3. C

2RT/M

4. D

$3{k}_{\mathrm{B}}T/m$

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### Solution:

The expression of mean square speed is $3{k}_{\mathrm{B}}T/m$

The term "RMS" refers to the root mean square velocity. This represents the square root of the sum of all the squares representing the individual particle speeds in a gas.

The standard formula for the mean square speed is,

$3{k}_{\mathrm{B}}T/m$

Where,

m is the molar mass of the substance, expressed in kilograms

T is the temperature

${K}_{B}$ is the kinetic energy of the molecule

Hence the correct option is D

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