Question 2 :
Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is $P$ where the velocity of flow is $v$. At another point, where the pressure is $P/2$, the velocity of flow is:<br/>[Density of water $=\rho$]

Question 3 :
A small steel ball falls through a syrup at a constant speed of $10 cm/sec.$ If the steel ball is pulled upwards with a force equal to twice its effective weight; how fast will it move upwards?

Question 4 :
Assertion: A raindrop after falling through some&#160;height attains a constant velocity<br/>Reason: At constant velocity, the viscous drag is&#160;equal to its weight.

Question 5 :
The volume of liquid flowing per second out of an&#160;orifice at the bottom of the tank does not depend&#160;upon:

Question 6 :
One spherical ball of radius $R$, density d released in a liquid of density $d/2$ attains a terminal velocity $V$. Another ball of radius $2R$ and density $1.5d$, released in the liquid will attain a terminal velocity

Question 7 :
The reading of a pressure meter attached with a closed water pipe is 3.5 x 10$^{5}$ N m$^{-2}$. On opening the valve of the pipe, the reading of pressure meter is reduced to 3 x 10$^{5}$ N m$^{-2}$. Calculate the speed of water flowing in the pipe.

Question 8 :
The energy required to split a liquid drop having&#160;surface tension $T$ and radius $R$ into $n$ identical&#160;droplets is:

Question 9 :
Water is flowing through a pipe of uniform cross-section under constant pressure. At some place the pipe becomes narrow, the pressure of water at this place:<br/><br/>

Question 10 :
The pressure of air in a soap bubble of $0.7cm$ diameter is $8 mm$ of water above the pressure outside. The surface tension of the soap solution is<br>

Question 11 :
The rain drops falling from the sky neither injure us nor make holes on the ground because they move with:

Question 12 :
Water is filled in a container up to height $3\ \text{m}.$ A small hole of area '$a$' is punched in the wall of the container at a height $52.5\ \text{cm}$ from the bottom. The cross sectional area of the container is $A.$ If $\dfrac{a}{A}=0$; then $v^2$ is $($where $v$ is the velocity of water coming out of the hole$)$<br>

Question 13 :
Assertion: An object from a greater height reaches a steady terminal velocity. Reason: The viscous forces on a body depends upon its velocity. The greater the velocity the greater is the viscous force.

Question 14 :
Eight drops of water, each of radius 2 mm are falling through air at a terminal velocity of $8 cm s^{-1}$. If they coalesce to form a single drop, then the terminal velocity of combined drop will be:

Question 15 :
The volume of a liquid flowing per second out of an orifice at the bottom of a tank does not depend upon

Question 16 :
A sphere of mass $m$ and radius $r$ is projected in a gravity free space with speed $v$. If coefficient of viscosity is $\dfrac{1}{6\pi}$, then the distance travelled by the body before it stops is&#160;<br/>

Question 17 :
Two drops of same radius are falling through air with steady speed $2^{\frac{1}{3}} m/s$. If the two drops coalesce, what would be the terminal speed in $m/s$ ?<br/>

Question 18 :
A metallic shpere of radius&#160;$\displaystyle 1.0\times 10^{-3}m$ and density&#160;$\displaystyle 1.0\times 10^{4}kg/m^{3}$ enters a tank of water after a free fall, falling through a distance of h in the earth's gravitational field. If its velocity remains unchanged after entering water, determine the value of h. <br/>[Given : coefficient of viscosity of water =&#160;$\displaystyle 1.0\times 10^{-3}N-s/m^{2},g=10m/s^{2}$ and density of water =&#160;$\displaystyle 1.0\times 10^{3}kg/m^{3}$]

Question 19 :
In $\text{case}\ A,$ when an $80\ \text{kg}$ skydiver falls with arms and legs fully extended to maximize his surface area, his terminal velocity is $60\ \text{m/s}.$ In $\text{Case}\ B,$ when the same skydiver falls with arms and legs pulled in and body angled downward to minimize his surface area, his terminal velocity increases to 80 m/s. In going from $\text{Case A to Case B},$ which of the following statements most accurately describes what the skydiver experiences?

Question 20 :
If the excess pressure inside a soap bubble of radius ${ r }_{ 1 }$ in air is equal to the excess pressure inside air bubble of radius ${ r }_{ 2 }$ inside the soap solution, then ${ r }_{ 1 }:{ r }_{ 2 }$ is