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Question: The speed of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6. The root mean...

The speed of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6. The root mean square speed for these molecules is-

A

2.91

B

3.52

C

4.00

D

4.24

Answer

4.24

Explanation

Solution

vrms = v12+v22+v32+v42+v525\sqrt{\frac{{v_{1}}^{2} + {v_{2}}^{2} + {v_{3}}^{2} + {v_{4}}^{2} + {v_{5}}^{2}}{5}}