Question

4 particles have same speed 2,3,4 and 5 cm/s respectively.Then their rms speed (cm/s) will be????

Answer 1

Explanation:

RMS speed of the particle is 3.67 m/s.

So, the RMS of the four particle is 3.67 m/s. Hence, this is the required solution.

R.M.S.

means-ROOT MEAN SQUARE

since all are speed so no direction-

hence directly calculate-

$\sf\sqrt{ \frac{ {2}^{2} + {3}^{2} + {4}^{2} + {5}^{2} }{4} } \\ \\ \sqrt{ \frac{9 + 4 + 16 + 25}{4} } \\ \\ \sf \: \sqrt{ \frac{54}{4} } \\ \\ \sf \sqrt{ \frac{27}{2} } \\ \\ \red{ \sf \: 3 \sqrt{ \frac{3}{2} }}$