Physics 5054 · O Level · Density

Density — practice question

A student is working out the density of copper by using a balancing method. The apparatus is arranged as shown in Fig. 4.1.
(a)[2]

Use the readings in Fig. 4.2 to determine $r_1$. Enter your answer for $r_1$ in the table in Fig. 4.3, and show your working.

(b(i))[1]

Fill in the missing $x$ and $y$ values in the table in Fig. 4.3.

(b(ii))[4]

On the grid in Fig. 4.4, plot $y$ (y-axis) against $x$ (x-axis). Begin both axes at the origin $(0,0)$, then draw the straight line of best fit.

(b(iii))[2]

Work out the gradient of your line. Show your working and mark on the graph the values you select.

(b(iv))[1]

The copper cylinder’s mass $m$, in grams, is found from $m = 150 \times \text{gradient}$. Use this relation to calculate $m$ to the nearest gram.

(c)[2]

Using Fig. 4.5, work out the volume $V$ of the copper cylinder.

(d)[1]

Use your answers to (b)(iv) and (c) with $\rho = \frac{m}{V}$ to calculate the density $\rho$ of copper.

(e)[1]

The density of copper found in (d) is slightly different from the accepted value. State one practical reason for this discrepancy.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: Working or measurement marks visible on the diagram

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