Q. No.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
(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
| 1. | \(8~\text{km}\) | 2. | \(5~\text{km}\) |
| 3. | \(7~\text{km}\) | 4. | \(6~\text{km}\) |
| 1. | \(4.12\times 10^{4}~\text{N}\) | 2. | \(4.12\times 10^{5}~\text{N}\) |
| 3. | \(5.12\times 10^{5}~\text{N}\) | 4. | \(5.12\times 10^{4}~\text{N}\) |
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 |
| 1. | \(0.67~\text{cm}\) | 2. | \(6.7~\text{cm}\) |
| 3. | \(67~\text{cm}\) | 4. | \(6.3~\text{cm}\) |
1. \(1.9\times 10^{6}~\text{Pa}~\text{and}~1400~\text{N}\)
2. \(1.9\times 10^{4}~\text{Pa}~\text{and}~1580~\text{N}\)
3. \(19\times 10^{5}~\text{Pa}~\text{and}~1570~\text{N}\)
4. \(1.9\times 10^{5}~\text{Pa}~\text{and}~1470~\text{N}\)
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 . The narrower part has an area a = 4 . The pressure drop in the artery is 24 Pa. What is the speed of the blood in the artery?
(Density of blood = )
1. 145 m/s
2. 0.145 m/s
3. 123 m/s
4. 0.123 m/s
[Given: Density of air, \(\rho = 1.2~\text{kgm}^{-3}~\text{and}~g = 9.8~\text{m/s}^2]\)
1. \(6.5\times 10^{4}~\text{Nm}^{-2}\)
2. \(6.5\times 10^{3}~\text{Nm}^{-2}\)
3. \(6.5\times 10^{5}~\text{Nm}^{-2}\)
4. \(5.5\times 10^{5}~\text{Nm}^{-2}\)
A metal block of area \(0.10~\text{m}^{2}\) is connected to a \(0.010~\text{kg}\) 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 \(0.30~\text{mm}\) is placed between the block and the table. When released the block moves to the right with a constant speed of \(0.085~\text{m/s}.\) 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 \(20^{\circ}\text{C}\) is \(6.5~\text{cm/s}.\) What is the viscosity of the oil at \(20^{\circ}\text{C}\)? (Density of oil is \(1.5\times 10^{3}~\text{kg/m}^3,\) the density of copper is \(8.9\times10^{3}~\text{kgm}^{-3})\)
1. \(7.9\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}\)
2. \(8.9\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}\)
3. \(9.9\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}\)
4. \(8.8\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}\)
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