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The speed of molecules are given by 2 m/...

The speed of molecules are given by 2 m/s, 3m/s, 4 m/s, 5 m/s, and 6 m/s. the mean square speed is

A

20 `m^(2)//s^(2)`

B

25 `m^(2)//s^(2)`

C

`36m^(2)//s^(2)`

D

`18m^(2)//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

`C^(2)=(C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+C_(4)^(2)+C_(5)^(2))/(5)`
`=(4+9+16+25+36)/(5)=(90)/(5)=18m^(2)//s^(2)`.
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