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In a lab experiment, the speed of sound is measured as 340 m/s with an uncertain

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Question: In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±5 m/s. What is the percentage uncertainty in this measurement?

Options:

  1. 1.47%
  2. 1.5%
  3. 2%
  4. 0.5%

Correct Answer: 1.5%

Solution: 

Percentage uncertainty = (absolute uncertainty / measured value) * 100 = (5 / 340) * 100 ≈ 1.47%.

In a lab experiment, the speed of sound is measured as 340 m/s with an uncertain

Practice Questions

Q1
In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±5 m/s. What is the percentage uncertainty in this measurement?
  1. 1.47%
  2. 1.5%
  3. 2%
  4. 0.5%

Questions & Step-by-Step Solutions

In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±5 m/s. What is the percentage uncertainty in this measurement?
Correct Answer: 1.47%
  • Step 1: Identify the measured value, which is 340 m/s.
  • Step 2: Identify the absolute uncertainty, which is ±5 m/s.
  • Step 3: Use the formula for percentage uncertainty: (absolute uncertainty / measured value) * 100.
  • Step 4: Substitute the values into the formula: (5 / 340) * 100.
  • Step 5: Calculate the division: 5 divided by 340 equals approximately 0.0147.
  • Step 6: Multiply the result by 100 to convert it to a percentage: 0.0147 * 100 equals approximately 1.47%.
  • Step 7: Conclude that the percentage uncertainty in the measurement is approximately 1.47%.
  • Percentage Uncertainty – The concept of percentage uncertainty involves calculating the uncertainty of a measurement as a percentage of the measured value, which helps in understanding the reliability of the measurement.
  • Absolute Uncertainty – Absolute uncertainty refers to the margin of error in a measurement, indicating how much the measured value could vary.
  • Measurement and Uncertainty – Understanding how to express measurements and their uncertainties is crucial in experimental science, as it affects the interpretation of results.
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