When a tap is closed, the manometer attached to the pipe reads `3.5xx10^(5)Nm^(-2)`. When the tap is opened, the reading of manometer falls to `3.0xx10^(5)Nm^(-2)`. The velocity of water in the pipe is

Options

A. `0.1ms^(-1)`
B. `1ms^(-1)`
C. `5ms^(-1)`
D. `10ms^(-1)`

Answer

D

Explanation

`Delta p=(1)/(2) rho v^(2)`
`:. v=sqrt((2Delta p)/(rho))=sqrt((2xx0.5xx10^(5))/(10^(3)))`
`=10m//s`