The blades of a windmill sweep out a circle of area A. If the wind flows at a velocity v perpendicular to the circle, what is the mass of the air passing through it in time t?

Subtopic:  Equation of Continuity |
51%
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Bernoulli's theorem is applicable in the case of:

1. the compressible liquid in a streamlined flow.
2. the compressible liquid in a turbulent flow.
3. the incompressible liquid in a streamlined flow.
4. the incompressible liquid in a turbulent flow.
Subtopic:  Bernoulli's Theorem |
69%
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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. $$1.5\times 10^3~\text{N}$$

Subtopic:  Bernoulli's Theorem |
56%
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The cylindrical tube of a spray pump has a cross-section of $$8.0$$ cm2 one end of which has $$40$$ fine holes each of diameter $$1.0$$ mm. If the liquid flow inside the tube is $$1.5$$ m-min–1,  the speed of ejection of the liquid through the holes is:
1. $$0.64$$ ms-1
2. $$0.74$$ ms-1
3. $$0.54$$ ms-1
4. $$0.84$$ ms-1

Subtopic:  Equation of Continuity |
63%
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A U-shaped wire is dipped in a soap solution and removed. The thin soap film formed between the wire and the light slider supports a weight of $$1.5\times10^{-2}$$ N (which includes the small weight of the slider). The length of the slider is $$30$$ cm. The surface tension of the film is:

 1 $$3.5\times10^{-2}$$ Nm–1 2 $$2.5\times10^{-2}$$ Nm–1 3 $$3.5\times10^{-3}$$ Nm–1 4 $$2.5\times10^{-3}$$ Nm–1
Subtopic:  Surface Tension |
76%
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What is the pressure inside the drop of mercury of radius 3.00 mm at room temperature? The surface tension of mercury at that temperature () is 4.65 × 10–1 N m–1. The atmospheric pressure is 1.01 × 105 Pa.

Subtopic:  Surface Tension |
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Which one of the following is true from the given statements?

 1 Surface tension of liquids generally increases with temperatures. 2 Viscosity of gases decreases with temperature. 3 For solids with an elastic modulus of rigidity, the shearing force is proportional to the shear strain. 4 For the model of a plane in a wind tunnel, turbulence occurs at a smaller speed than turbulence for an actual plane.

Subtopic:  Properties of Fluids |
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A $$50~\text{kg}$$ girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter of $$1.0~\text{cm}$$. What is the pressure exerted by the heel on the horizontal floor:
1. $$6.24 \times 10^6 ~\text{Nm}^{-2}$$
2. $$4.21 \times 10^5 ~\text{Nm}^{-2}$$
3. $$20 \times 10^6 ~\text{Nm}^{-2}$$
4. $$1.01 \times 10^5~\text{Nm}^{-2}$$
Subtopic:  Pressure |
70%
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Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density $$984~\text{kg/m}^3.$$ The height of the wine column for normal atmospheric pressure is:
1. $$11.5~\text{m}$$
2. $$10.5~\text{m}$$
3. $$9.00~\text{m}$$
4. $$15.0~\text{m}$$

Subtopic:  Pressure |
70%
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A hydraulic automobile lift is designed to lift cars with a maximum mass of $$3000$$ kg. The area of the cross-section of the piston carrying the load is $$425$$ cm2. What maximum pressure would the smaller piston have to bear?
1. $$3.12\times10^{5}$$ Pa
2. $$1.01\times10^{5}$$ Pa
3. $$2.94\times10^{5}$$ Pa
4.
$$6.92\times10^{5}$$ Pa

Subtopic:  Pressure |
79%
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