A cubical container with side 2 m has a small hole with a cap at point C as shown. The water level is upto point D . $(BC = 0.5 m$ and $BD = 1.5 m)$ . If container is given an acceleration of $8 m / s^{2}$ and the hole is opened simultaneously. The amount of water that will spill out of the container is $____$ litre.

Question

TestHub · Accepted Answer

tan θ = g a ​ = 5 4 ​ ⇒ RB = PQ − QB tan θ = 2 − 2 × 5 4 ​ = 0.4 m V o l u m eo f w a t erco n t ain e d I ni t ia l v o l u m eo f w a t er A m o u n t o f s p i ll ​ = ( 2 PQ + BR ​ ) × 4 m 2 = BD × 4 m 2 = V in ​ − V f in ​ = 2 ( 2 BD − PQ − BR ) × 1000 l i t res = 2 ( 3 − 2 − 0.4 ) × 1000 = 1200 l i t res ​

Physics - Fluid Question with Solution | TestHub

Doubts & Discussion

JEE Main 2028 (Class 11)