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The reading of a pressure gauge attached...

The reading of a pressure gauge attached to a closed horizontal pipe was `3.5xx10^5` Pa. When the valve of the pipe was opened , the pressure was reduced to `3xx10^5` Pa. What was the speed of water flowing out of the pipe ?

A

2.5 m/s

B

5 m/s

C

7.5 m/s

D

10 m/s

Text Solution

Verified by Experts

The correct Answer is:
C
Using Bernouli's theorem
`P_1+1/2rhov_1^2=P_2+1/2rhov_2^2`
In the case, `v_1=0,v_2=v`
`:." "v=sqrt((2(P_1-P_2))/(rho))`
`=sqrt((2xx(3.5-3)xx10^5)/(10^3))=10m//s`
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