Error and Uncertainty
Trending Questions
- e2−e1
- e1+2e2
- e1+e2
- e1−2e2
The period of oscillation of a simple pendulum is . Measured value of from meter-scale having a minimum division of and time of one complete oscillation is measured from the stopwatch of resolution. The percentage error in the determination of will be:
- 0.4 %
- 0.2 %
- 0.5 %
- 0.1 %
- 0.01 m
- 0.1 m
- 0.008 m
- 0.08 m
- 4.90 cm
- 4.85 cm
- 4.75 cm
- 4.80 cm
- Percentage error due to area is more than percentage error due to length.
- Number of significant figures in volume will be two.
- Percentage error in volume will be 1.78%.
- Percentage error in length is 1.6%.
- 11 %
- 8 %
- 5 %
- 1 %
A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet, if the main scale reading is 0.5mm and the 25th division coincides with the main scale line?
0.75 mm
0.80 mm
0.70 mm
0.50 mm
- e2−e1
- e1+2e2
- e1+e2
- e1−2e2
- 0.4 %
- 0.5 %
- 0.2 %
- 0.1 %
In the determination of Young’s modulus (Y=4 MLgπl d2) by using Searle’s method, a wire of length L=2m and diameter d=0.5mm is used. For a load M=2.5kg, an extension l=0.25mm in the length of the wire is observed. Quantities d and l are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5mm. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement is:
Due to the errors in the measurement of d and l are the same
Due to the error in the measurement of d is twice that due to the error in the measurement of l
Due to the error in the measurement of l is twice that due to the error in the measurement of d
Due to the error in the measurement of d is four times that due to the error in the measurement of l
Repeated observations in an experiment gave the values 1.29, 1.33, 1.34, 1.35, 1.32, 1.36, 1.30 and 1.33. Find the relative error.
± 0.025
± 0
± 0.0175
± 0.015
- 0.50 mm
- 0.75 mm
- 0.80 mm
- 0.70 mm
- ±1%
- ±4%
- ±7%
- ±13%
In the determination of Young’s modulus (Y=4 MLgπl d2) by using Searle’s method, a wire of length L=2m and diameter d=0.5mm is used. For a load M=2.5kg, an extension l=0.25mm in the length of the wire is observed. Quantities d and l are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5mm. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement is:
Due to the errors in the measurement of d and l are the same
Due to the error in the measurement of d is twice that due to the error in the measurement of l
Due to the error in the measurement of l is twice that due to the error in the measurement of d
Due to the error in the measurement of d is four times that due to the error in the measurement of l