Four molecules of a gas have speeds $1, 2, 3$ and $4 k m / s$ . The value of the r.m.s. speed of the gas molecules is

\frac{1}{2} \sqrt{15} k m / s

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\frac{1}{2} \sqrt{10} k m / s

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2.5 k m / s

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\sqrt{\frac{15}{2}} k m / s

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Solution

The correct option is D $\sqrt{\frac{15}{2}} k m / s$

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