Pressure on a swimmer \(10\) m below the surface of a lake is:
(Atmospheric pressure= \(1.01\times10^{5}\) Pa, density of water=\(1000\) kg/m³ and \(g=10\) m/s²)
1. \(5\) atm
2. \(4\) atm
3. \(2\) atm
4. \(3\) atm

The density of the atmosphere at sea level is $1.29 {\mathrm{kgm}}^{-3}$. Assume that it does not change with altitude. Then how high would the atmosphere extend?

1.   8 km

2.   5 km

3.   7 km

4.   6 km

At a depth of 1000 m in an ocean, the force acting on the window of area 20 cm × 20 cm of a submarine is? The interior of the submarine is maintained at sea-level atmospheric pressure. (The density of sea water is 1.03 × 10³ kg m^-3, g = 10 m s^–2)

1.   $4.12\times {10}^4 \mathrm{N}$

2.   $4.12\times {10}^5 \mathrm{N}$

3.   $5.12\times {10}^5 \mathrm{N}$

4.   $5.12\times {10}^4 \mathrm{N}$

Two syringes of different cross-sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are \(1.0\) cm and \(3.0\) cm respectively. Force exerted on the larger piston when a force of \(10\) N is applied to the smaller piston:
1. \(80\) N
2. \(90\) N
3. \(10\) N
4. \(20\) N

Two syringes of different cross-sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are 1.0 cm and 3.0 cm respectively. If the smaller piston is pushed in through 6.0 cm, how much does the larger piston move out?

1.   0.67 cm

2.   6.7 cm

3.   67 cm

4.   6.3 cm

In a car lift, the compressed air exerts a force ${\mathrm{F}}_1$ on a small piston having a radius of 5.0 cm. This pressure is transmitted to the second piston of a radius of 15 cm. If the mass of the car to be lifted is 1350 kg, the pressure necessary to accomplish this task and the force ${\mathrm{F}}_1$, respectively, are?

(g = 9.8 ms^-2)

1.   $1.9\times {10}^6 \mathrm{Pa}$ and 1400 N

2.   $1.9\times {10}^4 \mathrm{Pa}$ and 1580 N

3.   $19\times {10}^5 \mathrm{Pa}$ and 1570 N

4.   $1.9\times {10}^5 \mathrm{Pa}$ and 1470 N

The flow of blood in a large artery of an anesthetised dog is diverted through a Venturi meter. The wider part of the meter has a cross-sectional area equal to that of the artery. A = 8 ${\mathrm{mm}}^2$. The narrower part has an area a = 4 ${\mathrm{mm}}^2$. The pressure drop in the artery is 24 Pa. What is the speed of the blood in the artery?

(Density of blood = $1.06\times {10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$)

1.   145 m/s

2.   0.145 m/s

3.   123 m/s

4.   0.123 m/s

A fully loaded Boeing aircraft has a mass of $3.3\times {10}^5$ kg. Its total wing area is 500 ${\mathrm{m}}^2$. It is in level flight with a speed of 960 km/h. The pressure difference between the lower and upper surfaces of the wings is: [Given: Density of air, ρ = 1.2 ${\mathrm{kgm}}^{-\mathrm{3\; }}$and g = 9.8 m/s²]

1.  $6.5\times {10}^4 {\mathrm{Nm}}^{-2}$

2.  $6.5\times {10}^3 {\mathrm{Nm}}^{-2}$

3.  $6.5\times {10}^5 {\mathrm{Nm}}^{-2}$

4.  $5.5\times {10}^5 {\mathrm{Nm}}^{-2}$

A metal block of area $0.10$ ${\mathrm{m}}^2$ is connected to a 0.010 kg mass via a string that passes over an ideal pulley (considered massless and frictionless), as in the figure below. A liquid film with a thickness of 0.30 mm is placed between the block and the table. When released the block moves to the right with a constant speed of 0.085 m/s. The coefficient of viscosity of the liquid is:

          
1. \(4.45 \times 10^{-2} ~\text{Pa-s}\)
2. \(4.45 \times 10^{-3} ~\text{Pa-s}\)
3. \(3.45 \times 10^{-2} ~\text{Pa-s}\)
4. \(3.45 \times 10^{-3} ~\text{Pa-s}\)

The terminal velocity of a copper ball of radius 2.0 mm falling through a tank of oil at $20 °\mathrm{C}$ is 6.5 $\mathrm{cm}/\mathrm{s}$. The viscosity of the oil at $20 °\mathrm{C}$ is? (Density of oil is $1.5\times {10}^3 \mathrm{kg}/{\mathrm{m}}^3$, the density of copper is $8.9\times {10}^3 {\mathrm{kgm}}^{-3}$) 

1.   $7.9\times {10}^{-1} {\mathrm{kgm}}^{-1}{\mathrm{s}}^{-1}$

2.   $8.9\times {10}^{-1} {\mathrm{kgm}}^{-1}{\mathrm{s}}^{-1}$

3.   $9.9\times {10}^{-1} {\mathrm{kgm}}^{-1}{\mathrm{s}}^{-1}$

4.   $8.8\times {10}^{-1} {\mathrm{kgm}}^{-1}{\mathrm{s}}^{-1}$