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If `C_(1), C_(2), C_(3)`......are random speed of gas molecules, then average speed `C_(av)= (C_(1)+C_(2)+C_(3)+...C_(n))/(n)` and root mean square speed of gas molecules, `C_(rms) = sqrt((C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...C_(n)^(2))/(n)) =C`. Further , `C_(2) prop T or C prop sqrt(T)` at `0k, C=0`, ie., molecular motion stops. With the help of the passage given above , choose the most appropriate alternative for each of the following question: Temperature of a certain mass of a gas is doubled. the rms speed of its molecules becomes n times. where n isA. `sqrt(2)`B. 2C. `(1)/(sqrt(2))`D. `1/2` |
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Answer» Correct Answer - A As, `C prop sqrt(T)` `:.` when T is doubled , C becomes `sqrt(2) times. |
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