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A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is th

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Question: A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is the total uncertainty if this quantity is multiplied by 3?

Options:

  1. 1.5 units
  2. 0.5 units
  3. 1.0 units
  4. 2.0 units

Correct Answer: 1.5 units

Solution: 

Total uncertainty = 3 * 0.5 = 1.5 units.

A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is th

Practice Questions

Q1
A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is the total uncertainty if this quantity is multiplied by 3?
  1. 1.5 units
  2. 0.5 units
  3. 1.0 units
  4. 2.0 units

Questions & Step-by-Step Solutions

A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is the total uncertainty if this quantity is multiplied by 3?
  • Step 1: Identify the original measurement and its uncertainty. The measurement is 25.0 units and the uncertainty is 0.5 units.
  • Step 2: Determine the factor by which the measurement is multiplied. In this case, the factor is 3.
  • Step 3: Calculate the total uncertainty by multiplying the original uncertainty (0.5 units) by the factor (3).
  • Step 4: Perform the multiplication: 3 * 0.5 = 1.5 units.
  • Step 5: Conclude that the total uncertainty when the quantity is multiplied by 3 is 1.5 units.
  • Propagation of Uncertainty – Understanding how uncertainties change when physical quantities are multiplied or divided.
  • Absolute vs Relative Uncertainty – Differentiating between absolute uncertainty and how it scales with multiplication.
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