The expression of mean square speed is

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$\sqrt{3 R T / M}$

$\sqrt{3 k_{B} T / m}$

2RT/M

$3 k_{B} T / m$

answer is D.

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Detailed Solution

The expression of mean square speed is $3 k_{B} T / m$

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,

$3 k_{B} T / m$

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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