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Q.

Two gases A and B present separately in two vessels X and Y at the same temperature with molecular weights M and 2M respectively are effused out. The orifice in vessel X is circular while that in Y is a square. If the radius of the circular orifice is equal to that of the length of the square orifice, the ratio of rates of effusion of gas A to that of gas B is

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a

b

π2

c

2 π

d

answer is A.

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Detailed Solution

rxry = 2MM×AxAy where Ax and Ay are the area of crosssection of orifice. ∴ rxry=2×πr2l2r= radius of a circular orifice , l=length of square orificerxry=2 π
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