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A student measures the length of a rod as 150 cm with a possible error of 2 cm.
Practice Questions
Q1
A student measures the length of a rod as 150 cm with a possible error of 2 cm. What is the range of the true length?
148 cm to 152 cm
149 cm to 151 cm
150 cm to 152 cm
150 cm to 154 cm
Questions & Step-by-Step Solutions
A student measures the length of a rod as 150 cm with a possible error of 2 cm. What is the range of the true length?
Steps
Concepts
Step 1: Identify the measured length of the rod, which is 150 cm.
Step 2: Identify the possible error in the measurement, which is 2 cm.
Step 3: Calculate the lower limit of the true length by subtracting the error from the measured length: 150 cm - 2 cm = 148 cm.
Step 4: Calculate the upper limit of the true length by adding the error to the measured length: 150 cm + 2 cm = 152 cm.
Step 5: Combine the lower and upper limits to find the range of the true length: from 148 cm to 152 cm.
Measurement and Error
– Understanding how to calculate the range of possible true values based on a measured value and its associated error.
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