Question

An open vessel containing water is given a constant acceleration a in the horizontal direction. Then the free surface of water gets sloped with the horizontal at an angle $\theta$ given by

• A.
• B.
• C.
• D.

Answer 1

Answer: (A)

Answer 2

If the acceleration is towards right hand side, then the water will bulge at the back of vessel as shown in figure. Consider a horizontal liquid cylinder in the liquid of length L area of cross section A. let $\mathrm { h } _ { 1 }$ and be the heights of liquid column at the ends of cylinder from the surface of liquid as shown in figure. For translator motion of cylinder with acceleration a,

$\mathrm { F } _ { 1 } - \mathrm { F } _ { 2 } = \mathrm { ma }$

Or $( \because \mathrm { P } = \mathrm { hpg } )$

Or

Or

From figure,

Or