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  4. The speeds of 5 molecules of a gas (in arbitrary units) are as follows: 2,3,4,5,6. The root mean square speed for these molecules is

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Q. The speeds of $5$ molecules of a gas (in arbitrary units) are as follows: $2,3,4,5,6$. The root mean square speed for these molecules is

Kinetic Theory

Solution:

$v_{r m s}=\sqrt{\frac{v_{1}^{2}+v_{2}^{2}+v_{3}^{2}+v_{4}^{2}+v_{5}^{2}}{5}}=4.24$