A container of large uniform cross sectional area `A`, resting on horizontal surface, holds two immiscible non viscous and incompressible liquids of density `d` and `2d`, each of height `H/2` as shown in the figure. The lower density liquid is open to the atmosphere having pressure `P_(0)`. A tiny hole of area `(s(sltltA)` is punched on the vertical side of the container at a height `h(hltH/2)`. Determine

The horizontal distance traveled by the liquid, initially, is :

Answer

B

Explanation

` ( p _ 2 - p _ 1 ) A = m a _ (cm ) rArr ( rho gh ) A = (rho AL ) ( omega ^2 (L)/(2) ) `
` therefore H = ( omega ^ 2 L ^ 2 ) /( 2 g ) `