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Light and sound

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Question 57

Two students, Beatrice and Chloe, are conducting an experiment to measure the speed of sound in air. They stand a distance of 200 m200\text{ m}200 m away from a teacher who strikes a starter's clapperboard. Each student starts their stopwatch when they see the clapperboard close, and stops it when they hear the sound.

a.

Describe how a sound wave travels through the air.

[3]
b.

The students repeat the experiment five times and record their readings in the table below:

StudentTime readings (in s\text{s}s)
Beatrice0.56,0.58,0.57,0.59,0.550.56, 0.58, 0.57, 0.59, 0.550.56,0.58,0.57,0.59,0.55
Chloe0.6,0.7,0.5,0.8,0.40.6, 0.7, 0.5, 0.8, 0.40.6,0.7,0.5,0.8,0.4

State the precision of Beatrice's readings.

[1]
c.

State the equation linking speed, distance travelled, and time taken.

[1]
d.

Using the distance of 200 m200\text{ m}200 m, copy and complete the table below. Make sure to give your answers to an appropriate number of significant figures.

StudentMean (average) time (in s\text{s}s)Speed of sound (in m/s\text{m/s}m/s)
Beatrice
Chloe
[4]
e.

The students find that the accepted value for the speed of sound in air is 343 m/s343\text{ m/s}343 m/s at their temperature. They discuss their results:

  • Beatrice: "My calculated speed is more accurate because my value of 350 m/s350\text{ m/s}350 m/s is closer to the true speed of sound of 343 m/s343\text{ m/s}343 m/s than yours."
  • Chloe: "But human reaction time is about 0.2 s0.2\text{ s}0.2 s and it varies, so we can't trust the hundredths of a second. My speed of 300 m/s300\text{ m/s}300 m/s is more realistic because it uses a more appropriate precision."
  • Beatrice: "Reaction time doesn't matter because we react once when we see the clap and again when we hear it, so the two reaction times cancel out."

Evaluate these conclusions, discussing the validity of their arguments concerning reaction time, precision, and accuracy.

[4]

Light and sound Questions

  1. IGCSE
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  3. /Light and sound