February/March 2026 Paper 52

2026 · 2 questions · 10 parts · 30 marks

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2(a)2(b)2(c)(i)2(c)(ii)2(c)(iii)2(c)(iv)2(d)(i)2(d)(ii)2(e)

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Context for question 2

A student places a tube and a loudspeaker into an oven as shown in Figure 2.1.

Figure 2.1, a side view of a rectangular oven with a horizontal dashed line across its middle labelled the oven shelf; standing on the shelf are a loudspeaker, drawn as a speaker icon with its flared, open side facing right, and, to its right, a tube drawn as a rectangle that is open at its left end, facing the loudspeaker, and closed at its right end

The loudspeaker is connected to a signal generator. The frequency of the signal generator is adjusted until the tube produces a loud sound. This sound from the tube is detected by a microphone which is connected to an oscilloscope. The frequency of this sound is determined from the oscilloscope. The speed

v

of sound in air is determined using the length of the tube and the frequency. The temperature of the air in the oven, measured in

^{\circ} C

, is

t

. The absolute temperature

T

is calculated using the expression

T = t + 273

The experiment is repeated for different temperatures of air in the oven. It is suggested that

v

and

T

are related by the equation

v = T^{n} \frac{γ R}{M}

where

R

is the molar gas constant,

M

is the molar mass of air and

n

and

γ

are constants. A graph is plotted of

l g v

on the

y

-axis against

l g T

on the

x

-axis.

2(a)Processing Results Graph AnalysisEasy1 mark

Determine expressions for the gradient and

y

-intercept.

gradient and

y

-intercept

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Context for 2(b)

Values of

t

T

v

and

l g T

are given in Table 2.1.

2(b)Measurement Uncertainty ErrorMedium2 marks

Calculate and record values of

l g (v / m s^{- 1})

in Table 2.1. Include the absolute uncertainties in

l g (v / m s^{- 1})

$t /^{\circ} C$	$T / K$	$v / m s^{- 1}$	$l g (T / K)$	$l g (v / m s^{- 1})$	absolute uncertainty in $l g (v / m s^{- 1})$
16	289	$339 \pm 2$	2.461	Table answer r1_$\lg(v\,/\,\mathrm{m\,s^{-1}})$	Table answer r1_absolute uncertainty in $\lg(v\,/\,\mathrm{m\,s^{-1}})$
24	297	$346 \pm 2$	2.473	Table answer r2_$\lg(v\,/\,\mathrm{m\,s^{-1}})$	Table answer r2_absolute uncertainty in $\lg(v\,/\,\mathrm{m\,s^{-1}})$
33	306	$351 \pm 2$	2.486	Table answer r3_$\lg(v\,/\,\mathrm{m\,s^{-1}})$	Table answer r3_absolute uncertainty in $\lg(v\,/\,\mathrm{m\,s^{-1}})$
44	317	$357 \pm 2$	2.501	Table answer r4_$\lg(v\,/\,\mathrm{m\,s^{-1}})$	Table answer r4_absolute uncertainty in $\lg(v\,/\,\mathrm{m\,s^{-1}})$
53	326	$361 \pm 3$	2.513	Table answer r5_$\lg(v\,/\,\mathrm{m\,s^{-1}})$	Table answer r5_absolute uncertainty in $\lg(v\,/\,\mathrm{m\,s^{-1}})$
64	337	$370 \pm 3$	2.528	Table answer r6_$\lg(v\,/\,\mathrm{m\,s^{-1}})$	Table answer r6_absolute uncertainty in $\lg(v\,/\,\mathrm{m\,s^{-1}})$

2(c)(i)Data Presentation GraphsMedium2 marks

Plot a graph of

l g (v / m s^{- 1})

against

l g (T / K)

. Include error bars for

l g (v / m s^{- 1})

Draw with the mouse or a finger.

2(c)(ii)Data Presentation GraphsMedium2 marks

Draw the straight line of best fit and a worst acceptable straight line on your graph. Label both lines.

Draw with the mouse or a finger.

2(c)(iii)Processing Results Graph AnalysisMedium2 marks

Determine the gradient of the line of best fit. Include the absolute uncertainty in your answer.

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2(c)(iv)Processing Results Graph AnalysisMedium2 marks

Determine the

y

-intercept of the line of best fit. Include the absolute uncertainty in your answer.

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2(d)(i)Processing Results Graph AnalysisMedium2 marks

Using your answers to 2(a), 2(c)(iii) and 2(c)(iv), determine the values of

n

and

γ

. You need not be concerned with units. Data:

M = 0.029 kg mo l^{- 1}

R = 8.31 J K^{- 1} mo l^{- 1}

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2(d)(ii)Measurement Uncertainty ErrorEasy1 mark

Determine the percentage uncertainty in

n

percentage uncertainty in

n

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2(e)Processing Results Graph AnalysisEasy1 mark

The experiment is repeated inside a freezer where the temperature of the air is

- 12^{\circ} C

. Determine the speed

v

of sound in air at this temperature.

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