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Question: The speeds of three molecules of a gas are 3v, 4v and 5v respectively. Their rms speed will be-...

The speeds of three molecules of a gas are 3v, 4v and 5v respectively. Their rms speed will be-

A

503v\sqrt{\frac{50}{3}}v

B

350v\sqrt{\frac{3}{50}}v

C

503v\frac{\sqrt{50}}{3}v

D

4 v

Answer

503v\sqrt{\frac{50}{3}}v

Explanation

Solution

vrms2v_{rms}^{2} = (3v)2+(4v)2+(5v)23\frac{(3v)^{2} + (4v)^{2} + (5v)^{2}}{3}