There is a hole h metre from its top of a tank filled with water. Calculate the distance x where the stream of water will touch the ground from the bottom (in m).

Options

A. `2sqrt(h(H - h))`
B. `2sqrt(g(H - h))`
C. `sqrt(2hH)`
D. `sqrt(2gH)`

Answer

A

Explanation

The time taken by the water to fall through a height H – h is
`t = sqrt((2H-h)/(g))`
Velocity of efflux, `V_("eff") = sqrt(2 gh)`
Horizontal distance covered,
`x = v_("eft") xx t`
`= sqrt(2gh) sqrt((2 (H-h))/g)`
`2sqrt(h(H - h)`