Learn Extracted exam questions A-Level Physics 9702 Physics June 2025 Question Paper 52
9702 Physics June 2025 Question Paper 52
Source PDF on the left, extracted YAML on the right. Compare numbering, marks, options and text.
A thin solid disc of radius $r$ and thickness $z$ is attached to a thin axle. String is wrapped around the axle, as shown in Fig. 1.1.
A block of mass $m$ is attached to the string.
The block is released from rest and falls downwards. The block has speed $v$ when it has fallen through a distance $h$ from the point of release. The value of $v$ is determined using \textbf{one} light gate connected to a timer.
It is suggested that $v$ is related to $m$ by the relationship
where $P$ and $Q$ are constants.
Plan a laboratory experiment to test the relationship between $v$ and $m$.
Draw a diagram showing the arrangement of your equipment.
Explain how the results could be used to determine values for $P$ and $Q$.
In your plan you should include:
\begin{itemize} \item the procedure to be followed \item the measurements to be taken \item the control of variables \item the analysis of the data \item any safety precautions to be taken. \end{itemize}
A student investigates a circuit containing capacitors. The circuit is connected with a capacitor of capacitance $A$, as shown in Fig. 2.1.
Fig. 2.1
Two capacitors, each of capacitance $C$, are connected in parallel between P and Q.
Initially, switch X and switch Z are closed and switch Y is open.
Switches X and Z are opened. Switch Y is then closed. The maximum potential difference between P and Q is measured using the voltmeter. This procedure is repeated and the mean maximum potential difference $V$ between P and Q is determined.
The experiment is then repeated by changing the number $n$ of capacitors, each of capacitance $C$, connected in parallel between P and Q.
It is suggested that $V$ and $n$ are related by the equation
A graph is plotted of $\frac{1}{V}$ on the $y$-axis against $n$ on the $x$-axis.
Determine expressions for the gradient and $y$-intercept.
gradient = \hrulefill $y$-intercept = \hrulefill
Values of $n$ and the two measured values of the maximum potential difference $V_1$ and $V_2$ are given in Table 2.1.
\textbf{Table 2.1}
\begin{tabular}{|c|c|c|c|c|} \hline $n$ & $V_1/\text{V}$ & $V_2/\text{V}$ & $V/\text{V}$ & $\frac{1}{V}/\text{V}^{-1}$ \ \hline 2 & 4.30 & 4.20 & & \ \hline 3 & 3.65 & 3.75 & & \ \hline 4 & 3.30 & 3.20 & & \ \hline 5 & 2.85 & 2.95 & & \ \hline 6 & 2.65 & 2.55 & & \ \hline 7 & 2.30 & 2.40 & & \ \hline \end{tabular}
Calculate and record values of $V/\text{V}$ and $\frac{1}{V}/\text{V}^{-1}$ in Table 2.1. Include the absolute uncertainties in $V$ and $\frac{1}{V}$.
Plot a graph of $\frac{1}{V}/\text{V}^{-1}$ against $n$. Include error bars for $\frac{1}{V}$.
Draw the straight line of best fit and a worst acceptable straight line on your graph. Label both lines.
Determine the gradient of the line of best fit. Include the absolute uncertainty in your answer.
gradient = \hrulefill
Determine the $y$-intercept of the line of best fit. Include the absolute uncertainty in your answer.
$y\text{-intercept} = \hrulefill$
Using your answers to (a), (c)(iii) and (c)(iv), determine the values of $E$ and $C$. Include appropriate units.
Data: $A = (2.2 \pm 0.2)\text{ mF}$
$E = \hrulefill$ $C = \hrulefill$
Determine the percentage uncertainty in your value of $C$.
percentage uncertainty = \hrulefill %
The experiment is repeated with 10 capacitors, each of capacitance $C$, connected in parallel between P and Q. Determine the maximum potential difference $V$ between P and Q.
$V = \hrulefill \text{ V}$