A rectangular tank is placed on a horizontal ground and is filled with water to a height H above the base. A small hole is made on one vertical side at a depth D below the level of the water in the tank. The distance x from the bottom of the tank at which the water jet from the tank will hit the ground is

Options

A. `2sqrt(D(H-D))`
B. `2sqrt(DH)`
C. `2sqrt(D(H+D))`
D. `(1)/(2)sqrt(DH)`

Answer

A

Explanation

`(D-H)=(1)/(2)g t^(2)`
`t=sqrt((2(D-H))/(g))`
`x=vt`
`x=sqrt((2(D-H))/(g))xxsqrt(2gD)impliesx=2sqrt(D(D-H))`