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What is the uncertainty in the result of adding 5.0 cm and 3.0 cm, each with an

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Question: What is the uncertainty in the result of adding 5.0 cm and 3.0 cm, each with an uncertainty of 0.1 cm?

Options:

  1. 0.1 cm
  2. 0.2 cm
  3. 0.3 cm
  4. 0.4 cm

Correct Answer: 0.2 cm

Solution: 

When adding, the uncertainties are added: 0.1 cm + 0.1 cm = 0.2 cm.

What is the uncertainty in the result of adding 5.0 cm and 3.0 cm, each with an

Practice Questions

Q1
What is the uncertainty in the result of adding 5.0 cm and 3.0 cm, each with an uncertainty of 0.1 cm?
  1. 0.1 cm
  2. 0.2 cm
  3. 0.3 cm
  4. 0.4 cm

Questions & Step-by-Step Solutions

What is the uncertainty in the result of adding 5.0 cm and 3.0 cm, each with an uncertainty of 0.1 cm?
  • Step 1: Identify the values being added: 5.0 cm and 3.0 cm.
  • Step 2: Identify the uncertainties for each value: both have an uncertainty of 0.1 cm.
  • Step 3: When adding measurements, add their uncertainties together: 0.1 cm + 0.1 cm.
  • Step 4: Calculate the total uncertainty: 0.1 cm + 0.1 cm = 0.2 cm.
  • Step 5: Write the final result: The sum is 8.0 cm with an uncertainty of 0.2 cm.
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