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A physical quantity is measured as 50.0 units with an uncertainty of ±1.0 units.

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Question: A physical quantity is measured as 50.0 units with an uncertainty of ±1.0 units. If this quantity is multiplied by 3, what is the new uncertainty?

Options:

  1. 3.0 units
  2. 1.0 units
  3. 2.0 units
  4. 4.0 units

Correct Answer: 3.0 units

Solution: 

New uncertainty = 3 * (uncertainty) = 3 * 1.0 = 3.0 units.

A physical quantity is measured as 50.0 units with an uncertainty of ±1.0 units.

Practice Questions

Q1
A physical quantity is measured as 50.0 units with an uncertainty of ±1.0 units. If this quantity is multiplied by 3, what is the new uncertainty?
  1. 3.0 units
  2. 1.0 units
  3. 2.0 units
  4. 4.0 units

Questions & Step-by-Step Solutions

A physical quantity is measured as 50.0 units with an uncertainty of ±1.0 units. If this quantity is multiplied by 3, what is the new uncertainty?
  • Step 1: Identify the original uncertainty, which is ±1.0 units.
  • Step 2: Determine the factor by which the physical quantity is multiplied, which is 3.
  • Step 3: Calculate the new uncertainty by multiplying the original uncertainty by the factor: 3 * 1.0.
  • Step 4: Perform the multiplication: 3 * 1.0 = 3.0 units.
  • Step 5: State the new uncertainty, which is ±3.0 units.
  • Propagation of Uncertainty – When a measured quantity is multiplied by a constant, the uncertainty is also multiplied by that constant.
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