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Question: The r.m.s. speed of a group of 7 gas molecules having speeds (6, 4, 2, 0, –2, –4, –6) m/s is-...

The r.m.s. speed of a group of 7 gas molecules having speeds (6, 4, 2, 0, –2, –4, –6) m/s is-

A

1.5 m/s

B

3.4 m/s

C

9 m/s

D

4 m/s

Answer

4 m/s

Explanation

Solution

vrms =(6)2+(4)2+(2)2+(0)2+(−2)2+(−4)2+(−6)27\sqrt{\frac{(6)^{2} + (4)^{2} + (2)^{2} + (0)^{2} + ( - 2)^{2} + ( - 4)^{2} + ( - 6)^{2}}{7}}

= 4 m/s