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Question

A certain gas effuses out of two different vessels A and B. A has a circular orifice while B has a square orifice of length equal to the radius of the orifice of vessel A. The ratio of rate of diffusion of the gas from vessel A to that from vessel B is

A
π:1
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B
1:π
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C
1:1
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D
3:2
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Solution

The correct option is A π:1
Let the radius of circular orifice =r
So the the side length of square orifice =r (given)
Rate of effusion Area of cross section
rArB=AAAB=πr2r2=π1

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