Four cuboids with identical length, breadth and height are immersed in water. The cuboids are held at the same depth and in identical orientations by vertical rods, as shown. Water has density ρ. Cuboid W is made of material of density 4ρ. Cuboid X is made of material of density 2ρ. Cuboid Y is made of material of density ρ. Cuboid Z is made of material of density 0.5ρ.
Which statement is correct?
A The upthrust of the water on each of the cuboids is the same.
B The upthrust of the water on W is twice the upthrust of the water on X.
C The upthrust of the water on X is twice the upthrust of the water on W.
D The upthrust of the water on Y is zero.
When ice melts, it contracts.
Which row is correct for ice turning into water?
A
B
C
D
The product of pressure and volume has the same SI base units as:
A energy.
B force.
C force/area
D force/length
An object, immersed in a liquid in a tank, experiences an upthrust.
What is the physical reason for this upthrust?
A The density of the body differs from that of the liquid.
B The density of the liquid increases with depth.
C The pressure in the liquid increases with depth.
D The value of g in the liquid increases with depth.
A student finds the density of a liquid by measuring its mass and its volume. The following is a summary of his measurements. mass of empty beaker = (20 ± 1) g mass of beaker + liquid = (70 ± 1) g volume of liquid = (10.0 ± 0.6) cm^3
He correctly calculates the density of the liquid as 5.0 g cm^–3.
What is the uncertainty in this value?
A 0.3 g.cm^–3
B 0.5 g.cm^–3
C 0.6 g.cm^–3
D 2.6 g.cm^–3
Atmospheric pressure at sea level has a value of 100 kPa. The density of sea water is 1020 kg.m^–3.
At what depth in the sea would the total pressure be 110 kPa?
A 1.0 m
B 9.8 m
C 10.0 m
D 11.0 m
The diagram shows the arrangement of atoms in a particular crystal. Each atom is at the corner of a cube.
The mass of each atom is 3.5 × 10^–25 kg. The density of the crystal is 9.2 × 10^3 kg.m^–3.
What is the shortest distance between the centres of two adjacent atoms?
A 3.8 × 10^–29 m
B 6.2 × 10^–15 m
C 3.4 × 10^–10 m
D 3.0 × 10^–9 m
A mass of gas enclosed in a cylinder by a piston is heated gently. At the same time, the piston is moved so that the pressure remains constant. As a result of this, what will not occur?
A The average velocity of the molecules will increase.
B The mean separation of the molecules will increase.
C The molecules will travel greater distances between collisions.
D The number of collisions per second of the molecules on the piston will increase.
A student wishes to determine the density of an irregularly-shaped stone. First he finds the mass of the stone. Next he lowers the stone into a measuring cylinder containing water.
The diagrams show the measuring cylinder before and after the stone is lowered into it.
A mass of stone × reading 2
B mass of stone × (reading 2 – reading 1)
C mass of stone ÷ reading 2
D mass of stone ÷ (reading 2 – reading 1)
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