An ideal fluid flows through a pipe of circular cross-section made of two sections with diameters `2.5 cm` and `3.75 cm`. The ratio of the velocities in the two pipes is

Options

A. `9 : 4`
B. `3 : 2`
C. `sqrt(3) : sqrt(2)`
D. `sqrt(2) : sqrt(3)`

Answer

A

Explanation

Ac cording to equation of continuity
`a_(1) v_(1)=a_(2) v_(2)` or `(v_(1))/(v_(2))=(a_(2))/(a_(1))=(pid_(2)^(2)//4)/(pid_(1)^(2)//4)=((d_(2))/(d_(1)))^(2) =((3.75)/(2.50))^(2) =(9)/(4)`