a wide tank of area A contng lqd to hgt H has orific at its base of area A/3 initial acceleration of

monu tada

a wide tank of area A contng lqd to hgt H has orific at its base of area A/3 initial acceleration of top surface of lqd ? ans ( g/8 )

Srujana

Using Bernoulli's theorem

$P_1-P_2= rac{1}{2}{ho}(v_1^2-v_2^2)+ho gH$

Since both the cross sections are open to atmosphere, P_1=P_2

Using equation of continuity

A_1v_1=A_2v_2

substituting it,

$v_1^2= rac{2gA_2^2H}{A_1^2-A_2^2}$

= rac{gH}{4}

Intitially the liq is at rest,

v_1^2-0=2aH

Rightarrow a= rac{g}{8}