Understanding Approximate Error in Measurement
In measurement, the approximate error is the uncertainty or deviation in the measured value. For a rod measured at 100.1 cm, consider the following factors to determine the approximate error.
Factors Influencing Measurement Error
- Instrument Precision: The precision of the measuring instrument affects the error. Common rulers have a smallest division of 0.1 cm, hence the error can be ±0.05 cm.
- Human Error: The skill and experience of the person measuring can introduce variability. Misreading the scale or parallax errors can contribute significantly.
- Environmental Conditions: Temperature and humidity can cause materials to expand or contract, affecting the measurement.
Calculating Approximate Error
To calculate the approximate error, follow these steps:
- Identify the smallest division: If using a ruler with 0.1 cm divisions, the least count is 0.1 cm.
- Determine the error range: The approximate error is typically taken as ± half of the smallest division. For a 0.1 cm ruler, the error is ±0.05 cm.
- Present the error: Therefore, for a measurement of 100.1 cm, the approximate error can be expressed as:
- 100.1 cm ± 0.05 cm
Conclusion
The approximate error in measuring the length of the rod at 100.1 cm is ±0.05 cm. This highlights the importance of acknowledging measurement uncertainties, which is crucial for accuracy in scientific and engineering applications.