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In a physics experiment, the force applied is measured as 50 N with an uncertain

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Question: In a physics experiment, the force applied is measured as 50 N with an uncertainty of ±1 N. What is the relative uncertainty in the force measurement?

Options:

  1. 0.02
  2. 0.01
  3. 0.005
  4. 0.1

Correct Answer: 0.01

Solution: 

Relative uncertainty = (absolute uncertainty / measured value) = 1 / 50 = 0.02.

In a physics experiment, the force applied is measured as 50 N with an uncertain

Practice Questions

Q1
In a physics experiment, the force applied is measured as 50 N with an uncertainty of ±1 N. What is the relative uncertainty in the force measurement?
  1. 0.02
  2. 0.01
  3. 0.005
  4. 0.1

Questions & Step-by-Step Solutions

In a physics experiment, the force applied is measured as 50 N with an uncertainty of ±1 N. What is the relative uncertainty in the force measurement?
  • Step 1: Identify the measured value of the force, which is 50 N.
  • Step 2: Identify the absolute uncertainty, which is ±1 N.
  • Step 3: Calculate the relative uncertainty using the formula: relative uncertainty = (absolute uncertainty / measured value).
  • Step 4: Substitute the values into the formula: relative uncertainty = (1 N / 50 N).
  • Step 5: Perform the division: 1 divided by 50 equals 0.02.
  • Step 6: The relative uncertainty is 0.02.
  • Relative Uncertainty – Relative uncertainty is the ratio of the absolute uncertainty to the measured value, expressed as a fraction or percentage.
  • Measurement Uncertainty – Understanding how uncertainties in measurements affect the precision and reliability of experimental results.
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