CAIE A-Level Physics AS 4.3.1 Density Questions

Calculate and compare density as mass per unit volume for solids, liquids and gases.

Exam points

Calculate and compare density as mass per unit volume for solids, liquids and gases.

[Maximum number: 2]

A cylinder is suspended from the end of a string. The cylinder is stationary in water with the axis of the cylinder vertical, as shown in Fig. 2.1.

Fig. 2.1 (not to scale)

The cylinder has weight 0.84 N , height h and a circular cross-section of diameter 0.031 m . The density of the water is $1.0 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}$ . The difference between the pressures on the top and bottom faces of the cylinder is 520 Pa .

Calculate the height h of the cylinder.

h =m [2

$\begin{aligned} (\Delta) p=\rho g(\Delta) h 520=1000 \times 9.81 \times h \end{aligned}$ $h=0.053 \mathrm{~m}$

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CAIE A-Level Physics AS 4.3.1 Density Questions question 1