An ideal fluid is flowing in a non-uniform cross sectional tube $X Y$ (as shown in the figure) from

Question

An ideal fluid is flowing in a non-uniform cross sectional tube $X Y$ (as shown in the figure) from end $X$ to end $Y$. If $K_1$ and $K_2$ are the kinetic energy per unit volume of the fluid at $X$ and $Y$ respectively, then the correct option is

Professor PC Thomas Classes · Answer

(c) : The cross-section area of $X$ is smaller than the $Y$. Using equation of continuity for ideal fluid, $a_1 v_1=a_2 v_2$ $ v_1>v_2 \quad\left(\because a_1<a_2ight) $ \ So, the $\frac{	ext { K.E. }}{	ext { Volume }}$ of $x\left(K_1ight)>\frac{	ext { K.E. }}{	ext { Volume }}$ of $y\left(K_2ight)$ $	herefore \quad K_1>K_2$ \ $ \left(\because K=\frac{1}{2} ho v^2ight) $