The figure shows a cubical container fully filled with a homogeneous liquid and sealed from all sides. This container is moved horizontally with acceleration g. Find the ratio of force of gauge pressure acting on face ADHE to force of gauge pressure acting on face EFGH.
Physics · Mixed Chapter
JEE Mains

Question

The figure shows a cubical container fully filled with a homogeneous liquid and sealed from all sides. This container is moved horizontally with acceleration g. Find the ratio of force of gauge pressure acting on face ADHE to force of gauge pressure acting on face EFGH.

Physics · Mixed Chapter

G1 Physics · Accepted Answer

Step 1: Work in the frame of the horizontally accelerating container. The effective gravity components are g downward and g opposite to the acceleration. Pressure varies as dp=ρg(downward displacement + leftward displacement). Step 2: With cube side L and gauge pressure chosen zero at the upper right corner, the average gauge pressure on left face ADHE is ρg(L+L/2)=3ρgL/2. Step 3: On top face EFGH the average horizontal depth from the upper right corner is L/2; its average gauge pressure is ρgL…