A plane is in level flight at constant speed and each of its two wings has an area of $25 \;m ^{2}$ If the speed of the air is $180 \;km / h$ over the lower wing and $234\; km / h$ over the upper wing surface, determine the plane's mass in $kg$. (Take air density to be $1\; kg m ^{-3}$ ).

A body of density $\rho$ is dropped from rest from a height $h$ into a lake of density $\sigma$, where $\sigma > \rho$. Neglecting all dissipative forces, the maximum depth to which the body sinks before returning to float on surface ..........

Given below are two statements :

Statement $I$ : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation $\mathrm{P}_1-\mathrm{P}_2=\rho \mathrm{g}\left(\mathrm{h}_2-\mathrm{h}_1\right)$

Statement $II$ : In ventury tube shown $2 \mathrm{gh}=v_1^2-v_2^2$

In the light of the above statements, choose the most appropriate answer from the options given below.

Two immiscible liquid are filled in conical flask as shown in figure. The area of cross section is shown, a small hole of area a is made in lower end of cone. Find speed of liquid flow from hole

When a fluid passes through a constricted part of a pipe, what happens to its velocity and pressure ?

In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities${v_A}$ and ${v_B}$, and pressure $P_A and P_B$ at points $A$  and $B$  respectively