The diameter of a wire is measured 0.236 cm by a screw gauge .if the l...
Calculation of Percentage Error in Measurement
To calculate the probable percentage of error in the measurement of the wire diameter, we need to consider the following factors:
1. Least Count of Screw Gauge
The least count of the screw gauge is 0.001 cm which means that the screw gauge can measure the diameter of the wire up to 0.001 cm accuracy.
2. Accuracy of Measurement
The accuracy of the measurement depends on the skill of the person taking the measurement and the quality of the instrument used. In this case, we assume that the person taking the measurement is skilled and the screw gauge is of good quality.
3. Error in Measurement
The error in measurement can occur due to various factors such as parallax error, zero error, etc. In this case, we assume that there is no parallax error or zero error.
Calculation of Probable Percentage Error
To calculate the probable percentage error in the measurement of the wire diameter, we use the following formula:
Probable Percentage Error = (Error in Measurement / Measured Value) x 100
In this case, the measured value is 0.236 cm and the least count of the screw gauge is 0.001 cm. Therefore, the error in measurement can be calculated as:
Error in Measurement = Least Count / 2 = 0.001 / 2 = 0.0005 cm
Substituting these values in the formula, we get:
Probable Percentage Error = (0.0005 / 0.236) x 100 = 0.2118%
Therefore, the probable percentage error in the measurement of the wire diameter is 0.2118%.
The diameter of a wire is measured 0.236 cm by a screw gauge .if the l...
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