Physics 9702/36 — October/November 2017

Cambridge AS Level · Advanced Practical Skills · worked solutions for every part, with the mark scheme

questions

marks

120

minutes

Topics Manipulation, Measurement and Observation · Presentation of Data and Observations · Analysis, Conclusions and Evaluation

Q1Manipulation, Measurement and ObservationPresentation of Data and ObservationsAnalysis, Conclusions and EvaluationFree sample

In this experiment, you will investigate the oscillations of a wire shape.

(a)

Measure and record the length $L$ of the wire shape, as shown in Fig. 1.1.

Fig. 1.1

$L$ = ______ $\text{cm}$

(b)

(i)

Assemble the apparatus as shown in Fig. 1.2.
The rods of the clamps should be parallel to each other and at the same height above the bench. The wire shape should be placed centrally on the rods.

Adjust the apparatus so that the distance between the centres of the rods is approximately 22 cm.

Fig. 1.2

(ii)

The distance between the centres of the rods is $x$ . Measure and record $x$ .

$x$ = ______ $\text{cm}$

(c)

(i)

Push the centre of the wire a small distance away from you.
Release it so that it oscillates.

(ii)

Take measurements to determine the period $T$ of the oscillations.

$T$ = ______ $\text{s}$

(d)

For values of $x$ less than $\frac{L}{2}$ , the wire shape inverts as shown in Fig. 1.3.

Fig. 1.3

Calculate $\frac{L}{2}$ .

$\frac{L}{2}$ = ______ $\text{cm}$

(e)

Vary $x$ in the range $\frac{L}{2} < x < 24\text{ cm}$ . Repeat (b)(ii) and (c) until you have six sets of values of $x$ and $T$ .

Record your results in a table. Include your values from (b)(ii) and (c). Also include values of $(x - \frac{L}{2})$ and $\frac{1}{T^2}$ in your table.

10M

(f)

(i)

Plot a graph of $\frac{1}{T^2}$ on the $y$ -axis against $(x - \frac{L}{2})$ on the $x$ -axis.

(ii)

Draw the straight line of best fit.

(iii)

Determine the gradient and $y$ -intercept of this line.

gradient = ______
$y$ -intercept = ______

(g)

It is suggested that the quantities $T$ and $x$ are related by the equation

\frac{1}{T^2} = a\left(x - \frac{L}{2}\right) + b

where $a$ and $b$ are constants.

Using your answers in (f)(iii), determine the values of $a$ and $b$ .
Give appropriate units.

$a$ = ______
$b$ = ______

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Q2Manipulation, Measurement and Observation · Analysis, Conclusions and Evaluation · Presentation of Data and Observations20M

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