Fully filled open water tank has two holes on either sides of its walls. One is a square hole of side x cm at a depth of 2 m from the top, and the other hole is equilateral triangle of side 4 cm at a depth of 6 m from the top. If the rate of flow of water is same from both the holes, then 'x' is

Options

A. 1 . 73 cm
B. 12 cm
C. 6 . 92 cm
D. 3 . 46 cm

Answer

A

Explanation

Volume flow rate
= area `xx` velocity
` = x^(2) xx sqrt(2 xx g xx2) . . . ` square hole
` = (sqrt(3))/(4) xx 4^(2) xx sqrt(2 xx g xx6)` triangle hole
`rArr x^(2) = (sqrt(3) xx sqrt(2g) xx sqrt(6))/(sqrt(2g) xx sqrt(2))`
`x^(2) = sqrt(3) xx sqrt(3)`
` :. x = sqrt(3) cm `
= 1.73 cm