Practical skills

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Question 8
Medium

Two students, P and Q, investigate the speed of sound in dry air at a controlled temperature of 20∘ C20^\circ\text{ C}20∘ C.

  • Table 1 shows the data obtained by Student P, who used a manual stopwatch and a tape measure over long distances.
  • Table 2 shows the data obtained by Student Q, who used a dual-microphone setup connected to a digital storage oscilloscope over laboratory-scale distances.

Table 1: Student P data Distance (m)Time Trial 1 (ms)Time Trial 2 (ms)Mean time (ms)Calculated speed (m/s)50130190160313100280340310323150420480450333\begin{array}{|c|c|c|c|c|} \hline \text{Distance (m)} & \text{Time Trial 1 (ms)} & \text{Time Trial 2 (ms)} & \text{Mean time (ms)} & \text{Calculated speed (m/s)} \\ \hline 50 & 130 & 190 & 160 & 313 \\ \hline 100 & 280 & 340 & 310 & 323 \\ \hline 150 & 420 & 480 & 450 & 333 \\ \hline \end{array}Distance (m)50100150​Time Trial 1 (ms)130280420​Time Trial 2 (ms)190340480​Mean time (ms)160310450​Calculated speed (m/s)313323333​​

Table 2: Student Q data Distance (m)Time Trial 1 (ms)Time Trial 2 (ms)Mean time (ms)Calculated speed (m/s)0.501.441.481.463421.002.902.942.923421.504.354.394.373432.005.815.855.833432.507.277.317.29343\begin{array}{|c|c|c|c|c|} \hline \text{Distance (m)} & \text{Time Trial 1 (ms)} & \text{Time Trial 2 (ms)} & \text{Mean time (ms)} & \text{Calculated speed (m/s)} \\ \hline 0.50 & 1.44 & 1.48 & 1.46 & 342 \\ \hline 1.00 & 2.90 & 2.94 & 2.92 & 342 \\ \hline 1.50 & 4.35 & 4.39 & 4.37 & 343 \\ \hline 2.00 & 5.81 & 5.85 & 5.83 & 343 \\ \hline 2.50 & 7.27 & 7.31 & 7.29 & 343 \\ \hline \end{array}Distance (m)0.501.001.502.002.50​Time Trial 1 (ms)1.442.904.355.817.27​Time Trial 2 (ms)1.482.944.395.857.31​Mean time (ms)1.462.924.375.837.29​Calculated speed (m/s)342342343343343​​

The accepted true value for the speed of sound under these conditions is 343 m/s343\text{ m/s}343 m/s.

Compare the data recorded in the two tables. Explain which student's data is the most accurate and precise.

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Practical skills Questions

  1. GCSE
  2. /Physics
  3. /Practical skills