assertion : a cubical vessel of area A and height H carries water at a height H . a small hole of very small area is made at the bottom .the acceleration of the vessel such that the liquid does not come out of the hole can be found

reason : the area of the hole must be goven

According to Torricelli's theorem, water should come out with constant velocity in horizontal direction..and since hole is at bottom,ther isnt any vertical component..

And a counter accleration won't prevent water from coming out, by Newton's first law...

so, wrong assertion, wrong reason

Is that right?

Its a function of height alright, but it accelerates only in the vertical direction.Thats Torricelli's theorem.

heyyy

the Torricelli's theorem is valid only when the vessel contaning water is at rest ..... but in this Q it is accelerating ..

so here if the vessel has accleration then surely the liquid will come out

of hole.

because if vessel has accln then the shape of water inside vessel

will become tilted by angle theta

and tan theta = a / g...

hence the assertion is wrong but reason is correct....