9 Selected Qs - Mechanical Properties of Fluids - NCERT Examples & Back ExerciseContact Number: 85275217189 Selected Qs - Mechanical Properties of Fluids - NCERT Examples & Back ExerciseContact Number: 8527521718The 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
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. \(8.8\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}\)
In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are \(70~\text{ms}^{-1}\) and \(63~\text{ms}^{-1}\) respectively. What is the lift on the wing if its area is \(2.5~\text{m}^2\)? (Take the density of air to be \(1.3 ~\text{kg m}^{-3}\))
1. \(2.5\times 10^5~\text{N}\)
2. \(1.5\times 10^5~\text{N}\)
3. \(2.5\times 10^3~\text{N}\)
4. \(1.5\times 10^3~\text{N}\)
A \(\mathrm U\text -\)tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with \(10.0~\text{cm}\) of water in one arm and \(12.5~\text{cm}\) of spirit in the other. What is the specific gravity of the spirit?
1. \(0.8\)
2. \(0.3\)
3. \(0.5\)
4. \(0.7\)
Glycerine flows steadily through a horizontal tube of a length of 1.5 m and a radius of 1.0 cm. If the amount of glycerine collected per second at one end is 4.0 × 10–3 kg s–1, what is the pressure difference between the two ends of the tube?
(Density of glycerine = kg m–3 and viscosity of glycerine = 0.83 Pa-sec).
1. 7.9 × 10−2 Pa
2. 8.9 × 10−3 Pa
3. 9.8 × 10−2 Pa
4. 6.7 × 10−3 Pa
A tank with a square base of an area of 1.0 m2 is divided by a vertical partition in the middle. The bottom of the partition has a small-hinged door of area 20 cm2. The tank is filled with water in one compartment, and an acid (of relative density 1.7) in the other, both to a height of 4.0 m. What is the force necessary to keep the door close?
1. 54.88 N
2. 56.0 N
3. 60.0 N
4. 45.5 N