Question

In a pipe, speed of ideal liquid is v₁ at A and v₂ at B.The correct relations between v_1, v₂ and h is  

(g is acceleration due to gravity and  is density ρ of liquid)

(1) \({v_2}^2 = {v_1}^2 +2gh\) 

(2) v₁v₂ = 2gh 

(3) \({v_1}^2 v_2 =ρgh^2 \) 

(4)  \({v_2}^2 = {v_1}^2 +2gh=0\)

Answer 1

Correct Option is (1)  \({v_2}^2 = {v_1}^2 +2gh\) 

\(\frac{1}{2}ρ{v_1}^2 +ρgh = \frac{1}{2} ρ{v_2}^2 \) 

\(v{_2}^2 = {v_1}^2 +2gh\)