1.

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 ……

Answer»

`9:4`
`3:2`
`sqrt(3):sqrt(2)`
`sqrt(2):sqrt(3)`

Solution :
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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