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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 ±2 m/s. What is the total uncertainty if the speed is used in a calculation involving division by 2?

Options:

  1. ±1 m/s
  2. ±2 m/s
  3. ±0.5 m/s
  4. ±0.25 m/s

Correct Answer: ±1 m/s

Solution: 

Total uncertainty = (2 m/s) / 2 = ±1 m/s.

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 ±2 m/s. What is the total uncertainty if the speed is used in a calculation involving division by 2?
  1. ±1 m/s
  2. ±2 m/s
  3. ±0.5 m/s
  4. ±0.25 m/s

Questions & Step-by-Step Solutions

In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±2 m/s. What is the total uncertainty if the speed is used in a calculation involving division by 2?
  • Step 1: Identify the measured speed of sound, which is 340 m/s.
  • Step 2: Identify the uncertainty in the measurement, which is ±2 m/s.
  • Step 3: Understand that when you use this speed in a calculation, the uncertainty also needs to be adjusted based on the operation you are performing.
  • Step 4: Since the calculation involves division by 2, you will divide the uncertainty by 2 as well.
  • Step 5: Calculate the total uncertainty: (2 m/s) / 2 = ±1 m/s.
  • Step 6: Conclude that the total uncertainty when the speed of sound is divided by 2 is ±1 m/s.
  • Uncertainty in Measurements – Understanding how to propagate uncertainty through calculations, particularly in division.
  • Division and Uncertainty – Applying the concept of uncertainty when a measured value is divided by a constant.
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