The least count of a screw gauge is 0.001cm.the diameter of wire measured by it is 0.225cm.find out percentage error in the measurement.
0.44
To calculate the percentage error in the measurement using a screw gauge, we can use the following formula:
Percentage Error = (Measured Value - True Value) / True Value × 100%
Let's calculate the percentage error:
Measured Value = 0.225 cm
True Value = 0.225 cm
Since the measured value and true value are the same, the percentage error would be zero.
Therefore, the percentage error in the measurement using the given screw gauge is 0%.
To calculate the percentage error in the measurement using a screw gauge, we need to know the least count of the screw gauge and the value that was measured.
In this case, the least count of the screw gauge is given as 0.001 cm, and the diameter of the wire measured is 0.225 cm.
The formula to calculate the percentage error is:
Percentage Error = (Measured Value - Actual Value) / Actual Value * 100
First, let's calculate the actual value of the diameter of the wire. Since there is no additional information given about the actual value, we can assume that the measured value itself is the actual value.
Actual Value = 0.225 cm
Now, calculating the percentage error:
Percentage Error = (0.225 cm - 0.225 cm) / 0.225 cm * 100
= 0 / 0.225 cm * 100
= 0 / 0.225 * 100
= 0
Therefore, the percentage error in the measurement is 0%.
Explanation for obtaining the actual value:
The actual value for the diameter of the wire is typically obtained through a more accurate method of measurement, such as using an instrument with a smaller least count or a calibrated instrument. In this case, we assume that the measured value itself is the actual value since no additional information is provided.