Physics 5054 · O Level · Physical quantities and measurement techniques

Physical quantities and measurement techniques — practice question

A student studies the oscillations of a metre rule.
(a(i))[1]

Explain why this is not the most suitable way to assemble one stand, boss and clamp to support a heavy rod.

(a(ii))[1]

In the space to the right of Fig. 1.1, make a sketch of a better arrangement for assembling this apparatus.

(b(i))[1]

Draw on Fig. 1.2 to indicate how the apparatus is used.

(b(ii))[1]

Explain how he can decide that the rod is horizontal.

(c(i))[1]

Describe how the student can check that end A of the metre rule is directly above the 0 cm end of the half-metre rule.

(c(ii))[1]

The metre rule is shifted left until end A is above the 10 cm mark on the half-metre rule. It is then let go. As the metre rule oscillates, the amplitude gets smaller. The student counts the number $N$ of swings until end A no longer goes past the 5 cm mark on the half-metre rule. He repeats this a number of times, and the results are listed below. 53, 55, 52, 51, 53 Calculate $N_{av}$, the mean value of $N$. Give your answer to 2 significant figures.

(d)

The student is given one square piece of card with side $l$. He fastens the centre of the card to end A of the metre rule using a small piece of Blu-tack, as shown in Fig. 1.4.

(e(i))[1]

Complete Fig. 1.5 by entering your value of $N_{av}$ from (c)(ii) for $l = 0$.

(e(ii))[4]

On Fig. 1.6, plot $l / \text{cm}$ on the $y$-axis against $N_{av}$ on the $x$-axis. Begin the axes at $(0,0)$ and draw a smooth curve of best fit.

(e(iii))[2]

The graph indicates that when $l$ gets smaller, $N_{av}$ gets larger. Two quantities $x$ and $y$ are inversely proportional if they satisfy the equation $x = \frac{k}{y}$, where $k$ is a constant. Using two pairs of values from the graph, show that $N_{av}$ is not inversely proportional to $l$.

(e(iv))[1]

Suggest why the student begins with $l = 19\,\text{cm}$ and then reduces $l$, instead of beginning with $l = 3\,\text{cm}$ and then increasing $l$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: Clamp could topple or fall over

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