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A fire hydrant delivers water of density...

A fire hydrant delivers water of density `rho` at a volume are `L`. The water travels vertically upward through the hydrant and then does `90^(@)` turn to emerge horizontally at speed `V`. The pipe and nozzle have uniform cross-section through out. The force exerted by the water on the corner of the hydrant is

A

`rhoVL`

B

zero

C

`2 rho VL`

D

`sqrt(2) rho VL`

Text Solution

Verified by Experts

The correct Answer is:
D
Force exerted in vertical direction
and horizontal direction are
`F_(1)=F_(2) =v_(rel) xx(dm)/(dt)=V_(p).L`
`:. F_("net")=rhoVL sqrt(2)`
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