1.

Four molecules of a gas has speed 2, 4, 6 and 8 kms^(-1)respectively. Calculate their average speed and root mean square speed.

Answer»

SOLUTION :AVERAGED SPEED, `barv=(v_1+v_2+v_3+v_4)/4`
`=(2+4+6+8)/4=5 KMS^(-1)`
Root mean square speed,
`v_(rms)=sqrt((v_1^2+v_2^2+v_3^2+v_4^2)/4)`
`=sqrt((2^2+4^2+6^2+8^2)/4)`
`=sqrt((120)/4)=sqrt30= 5.48kms^(-1)`


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