A tank is filled up to a height `2H` with a liquid and is placed on a platform of height `H` from the ground, the distance x from the ground where a small hole is punched to get the maximum range R is
.

Options

A. H
B. ` 1.25 H`
C. `1.5 H `
D. `2 H `

Answer

C

Explanation

As ` x = (1)/(2) gt ^2 ` or ` t = sqrt((2x )/(g)) ` and Velocity of efflux ` (v) = sqrt(2g(3H- x)) `
Hence, ` R = vt = 2sqrt(x (3H - x)) rArr ` For R to be max, ` x = (3H)/(2) `