A steady flow of water passes along a horizontal tube from a wide section X to the narrower section Y, see figure. Manometers are placed at P and Q at the sections. Which of the statement A,B,C,D, E is most correct?

Options

A. water velocity at X is greater than at Y
B. the manometer at P shows lower pressure than at Q
C. kinetic energy per `m^(3)` of water at X=kinetic energy per `m^(3)` at Y
D. the manometer at P shows greater pressure than at Y

Answer

D

Explanation

From Bernoulli's theroem
`P_(1)+(1)/(2)rhov_(1)^(2)=P_(2)+(1)/(2)rhov_(2)^(2)`
and from equation of continuity
`v_(y)gtv_(x)" "implies" " P_(x) gt P_(y) " "implies " "KE_(y)gtKE_(x)`
so option D is correct.