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A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is th
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?
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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?
1.5 units
0.5 units
1.0 units
2.0 units
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Total uncertainty = 3 * 0.5 = 1.5 units.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution:
Total uncertainty = 3 * 0.5 = 1.5 units.
Steps: 5
Show Steps
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.
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