In an experiment, the length of a rod is measured as 12.0 m with an uncertainty of ±0.5 m. What is the total uncertainty if the length is used in a calculation involving multiplication by 3?
Practice Questions
1 question
Q1
In an experiment, the length of a rod is measured as 12.0 m with an uncertainty of ±0.5 m. What is the total uncertainty if the length is used in a calculation involving multiplication by 3?
±1.5 m
±0.5 m
±0.75 m
±0.25 m
Total uncertainty = 3 * (0.5 m) = ±1.5 m.
Questions & Step-by-step Solutions
1 item
Q
Q: In an experiment, the length of a rod is measured as 12.0 m with an uncertainty of ±0.5 m. What is the total uncertainty if the length is used in a calculation involving multiplication by 3?
Solution: Total uncertainty = 3 * (0.5 m) = ±1.5 m.
Steps: 6
Step 1: Identify the measured length of the rod, which is 12.0 m.
Step 2: Identify the uncertainty in the measurement, which is ±0.5 m.
Step 3: Determine the multiplication factor, which is 3 in this case.
Step 4: Calculate the total uncertainty by multiplying the uncertainty (±0.5 m) by the multiplication factor (3).
Step 5: Perform the calculation: 3 * 0.5 m = ±1.5 m.
