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A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases ae filled in left (L) and right (R) halves the rms speed of the molecules in L part is equal to the mean speed of moleucles in the R equal to the ratio of the mass of a molecules in L part to that of a molecules in R part is A. `sqrt((3)/(2))`B. `sqrt(pi//4)`C. ` sqrt(2//3)`D. ` 3pi//8` |
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Answer» Correct Answer - D Root means square velocity of molecule in left part `V_(n ns) =sqrt((3KT)/(m_(L)))` Mean or average speed of moleucles in right part `V_(av)=sqrt((8KT)/(pim_(k)))` According to problem `sqrt((3KT)/(m_(L)))=sqrt((8)/(pi)(KT)/(m_(R)))` ` rArr " " (3)/(m_(L))=(8)/(pim_(R))` `rArr" " (m_(L))/(m_(R))=(3pi)/(8)` |
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