Mechanical Prop...

A small metal ball of mass '$$m$$' is dropped in a liquid contained in a vessel, attains a terminal velocity '$$V$$'. If a metal ball of same material but of mass $$'8m'$$ is dropped in same liquid then the terminal velocity will be.

For tap water and clean glass, the angle of contact is

Water containing air bubbles flows without turbulence through a horizontal pipe which has a region of narrow cross-section. In this region the bubbles.

A particle released from rest is falling through a thick fluid under gravity. The fluid exerts a resistive force on the particle proportional to the square of its speed. Which one of the following graphs best depicts the variation of its speed $$v$$ with time $$t$$?

An open tank filled with water density $$\rho$$ has a narrow hole at a depth of $$h$$ below, then the velocity of water flowing out is:

There are two identical small holes of area of cross section a on the either sides of a tank containing a liquid of density p (shown in figure). The difference in height between the holes is h. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is :

A rectangular vessel when full of water, takes $$10\ min$$ to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water?

A uniform capillary tube of length $$l$$ and inner radius $$r$$ with its upper end sealed is submerged vertically into water. The outside pressure is $${p}_{0}$$ and surface tension of water is $$\gamma$$. When a length $$x$$ of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide, the value of $$x$$ is

Find the difference of air pressure between the inside and outside of a soap bubble $$5 mm$$ in diameter, if the surface tension is $$1.6 N/m$$. 

The material of a wire has a density of 1.4 g/cm$$^3$$. If it is not wetted by a liquid of surface tension 44 dyne/cm, then the maximum radius of the wire which can float on the surface of liquid is :