A container of height 10m which is open at the top, has water to its full height. Two small openings are made on the walls of the container one exactly at the middle and the other at the bottom. The ratio of the velocities with which water comes out from the middle and the bottom region respectively is

Options

A. 2
B. `(1)/(2)`
C. `sqrt2`
D. `(1)/(sqrt2)`

Answer

D

Explanation

Velocity with which water coming out from orifice 1, `v_(1) = sqrt(2g xx 5)`
Velocity with which water coming out from orifice 2, `v_(2) = sqrt(2g xx 10)`
`:. (v_(1))/(v_(2)) = sqrt((2g xx 5)/(2g xx 10)) = (1)/(sqrt2)`