A leakage begins in water tank at position P as shown in the figure. The gauge pressure (pressure above that of the atmosphere) at P was `5xx10^(5) N//m^(2)`. If the density of water is `1000kg//m^(3)` the initial velocity with which water gushes out is approximately

Options

A. `3.2ms^(-1)`
B. `32ms^(-1)`
C. `28ms^(-1)`
D. `2.8ms^(-1)`

Answer

B

Explanation

`Delta p=1/2 rhov^(2)`
`:. v=sqrt((2Delta p)/(rho))=sqrt((2xx5xx10^(5))/(1000))`
`=31.5 m//s`.