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An incompressible liquid is flowing thro...

An incompressible liquid is flowing through a horizontal pipe as shown in figure. The value of speed v is

A

`1.1 ms^(-1)`

B

`2.1 ms^(-1)`

C

`3.1 ms^(-1)`

D

`5.1 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
By equation of continuity
AV=constant
`therefore A_(1)V_(1)=A_(2)V_(2)+A_(3)V_(3)`
`implies Axx8=0.8Axx6+3 xx v`
`implies 4A=2.4A+1.5Av implies 4=2.4+1.5 v`
`implies v=(1.6)/(1.5)=1.1 ms^(-1)`
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