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Quiz

Lesson 1 Quiz: Density, Liquid Pressure and Pascal Principle

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1.
The hydrostatic pressure exerted by a static homogeneous liquid of density rho at depth h beneath its free surface is expressed by:
P = rho * h / g
P = rho * g * h
P = rho * g / h
P = 1/2 rho * g * h2
2.
A diver descends to a depth of 30 meters in seawater (density = 1030 kg/m3). If atmospheric pressure is 1.013 x 105 Pa and g = 9.8 m/s2, the total absolute pressure experienced by the diver is approximately:
1.01 x 105 Pa
6.06 x 105 Pa
3.03 x 105 Pa
4.04 x 105 Pa (approx. 4.0 atmospheres)
3.
Pascal's principle states that when pressure is applied to an enclosed, incompressible fluid, it is transmitted:
Only downwards towards the bottom of the vessel
Strictly to compressible gases
Undiminished to every portion of the fluid and to the walls of the containing vessel
With an exponential decay as distance increases
4.
In a hydraulic press, the ratio of the cross-sectional area of the large piston to that of the small piston is 50. If a force of 100 N is exerted on the small piston, the maximum force exerted by the large piston is:
5000 N
2 N
2500 N
50,000 N
5.
The mechanical advantage (eta) of an ideal hydraulic press equals all of the following ratios EXCEPT:
Work done by the large piston / Work done on the small piston > 1
Area of the large piston / Area of the small piston (A / a)
Distance moved by the small piston / Distance moved by the large piston (y1 / y2)
Force on the large piston / Force on the small piston (F / f)
6.
The relative density (specific gravity) of a substance is defined as:
The ratio of the density of the substance to the density of pure water at 4°C
The product of density and the acceleration due to gravity
The mass of the substance divided by its volume at 100°C
The reciprocal of the buoyant force
7.
In a U-tube manometer containing two immiscible liquids in equilibrium, the heights of the liquid columns measured above the separating surface are:
Inversely proportional to their respective densities (h1 / h2 = rho2 / rho1)
Proportional to the square of the cross-sectional area of the tube
Equal regardless of the liquids used
Directly proportional to their densities
8.
Why are hydroelectric storage dams constructed with a base that is significantly thicker than the crest?
To allow fish to swim upstream through drainage gates
Because hydrostatic water pressure increases linearly with depth (P = rho * g * h), exerting immense overturning forces at the bottom
To prevent solar radiation from penetrating the foundation
To reduce the gravitational pull of the bedrock
9.
A metallic cube of side length 10 cm and density 7800 kg/m3 is completely submerged in water (density 1000 kg/m3). The buoyant force (upthrust) acting on the cube is (g = 10 m/s2):
68 N
100 N
78 N
10 N
10.
Pure water reaches its maximum density (1.000 g/cm3 or 1000 kg/m3) at a temperature of:
4.0 °C
25.0 °C
-4.0 °C
0.0 °C
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