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A number of particles each of mass 10 g ...

A number of particles each of mass `10 g` are in motion. `20%` of the particles have speed `10 m s^(-1), 50%` of particles speed `30 m s^(-1)` and `30%` have speed `40 m s^(-1)`. Calculate the root mean square speed of the particles.

Text Solution

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`U_(RMS) = sqrt((20 xx (10)^(3) + 50 xx (30)^(2) + 30 xx (40)^(2))/(100)) = sqrt(950) = 30.822 ms^(-1)`
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