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

A

`9:4`

B

`3:2`

C

`sqrt(3):sqrt(2)`

D

`sqrt(2):sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
a

According to equation of continuity ,
`A_(1)v_(1)=A_(2)v_(2)`
`thereforepir_(1)^(2)v_(1)=A_(2)v_(2)`
`therefore(v_(1))/(v_(2))=((r_(2))/(r_(1)))^(2)`
`therefore(v_(1))/(v_(2))=((3.75cancel2)/(2.5cancel2))^(2)`
`therefore(v_(1))/(v_(2))=(9)/(4)(9:4)`
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