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Question

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

=4m/s.= 4m/s.