03. Errors
Units and Measurements

139828 A student determined Young's modulus of elasticity using the formula Y=MgL34b3δ. The value of g is taken to be 9.8 m/s2, without any significant error, his observations are as following.
| Physical quantity | Least count of \lt br> the equipment \lt br> used for \lt br> measurement | Observed \lt br> value |
| :--- | :--- | :--- |
| Mass (M) | 1 g | 2 kg |
| Length of bar (L) | 1 mm | 1 m |
| Breadth of bar (b) | 0.1 mm | 4 cm |
| Thickness of bar (d) | 0.01 mm | 0.4 cm |
| Depression ( δ ) | 0.01 mm | 5 mm |
Then, the fractional error in the measurement of Y is

1 0.0083
2 0.0155
3 0.155
4 0.083
Units and Measurements

139829 Time intervals measured by a clock give the following readings 1.25 s,1.24 s,1.27 s,1.21 s and 1.28 s. What is the percentage relative error of the observations?

1 2%
2 4%
3 16%
4 1.6%
Units and Measurements

139830 A physical quantity z depends on four observables a,b,c and d, as z=a2b2/3cd3. The percentages of error in the measurement of a,b,c and d are 2%,1.5%,4% and 2.5% respectively. The percentage of error in z is

1 13.5%
2 16.5%
3 14.5%
4 12.25%
Units and Measurements

139831 If absolute error is 0.05 m for a measured length of 5 m. What is the percentage error?

1 1%
2 2%
3 3%
4 4%
Units and Measurements

139828 A student determined Young's modulus of elasticity using the formula Y=MgL34b3δ. The value of g is taken to be 9.8 m/s2, without any significant error, his observations are as following.
| Physical quantity | Least count of \lt br> the equipment \lt br> used for \lt br> measurement | Observed \lt br> value |
| :--- | :--- | :--- |
| Mass (M) | 1 g | 2 kg |
| Length of bar (L) | 1 mm | 1 m |
| Breadth of bar (b) | 0.1 mm | 4 cm |
| Thickness of bar (d) | 0.01 mm | 0.4 cm |
| Depression ( δ ) | 0.01 mm | 5 mm |
Then, the fractional error in the measurement of Y is

1 0.0083
2 0.0155
3 0.155
4 0.083
Units and Measurements

139829 Time intervals measured by a clock give the following readings 1.25 s,1.24 s,1.27 s,1.21 s and 1.28 s. What is the percentage relative error of the observations?

1 2%
2 4%
3 16%
4 1.6%
Units and Measurements

139830 A physical quantity z depends on four observables a,b,c and d, as z=a2b2/3cd3. The percentages of error in the measurement of a,b,c and d are 2%,1.5%,4% and 2.5% respectively. The percentage of error in z is

1 13.5%
2 16.5%
3 14.5%
4 12.25%
Units and Measurements

139831 If absolute error is 0.05 m for a measured length of 5 m. What is the percentage error?

1 1%
2 2%
3 3%
4 4%
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Units and Measurements

139828 A student determined Young's modulus of elasticity using the formula Y=MgL34b3δ. The value of g is taken to be 9.8 m/s2, without any significant error, his observations are as following.
| Physical quantity | Least count of \lt br> the equipment \lt br> used for \lt br> measurement | Observed \lt br> value |
| :--- | :--- | :--- |
| Mass (M) | 1 g | 2 kg |
| Length of bar (L) | 1 mm | 1 m |
| Breadth of bar (b) | 0.1 mm | 4 cm |
| Thickness of bar (d) | 0.01 mm | 0.4 cm |
| Depression ( δ ) | 0.01 mm | 5 mm |
Then, the fractional error in the measurement of Y is

1 0.0083
2 0.0155
3 0.155
4 0.083
Units and Measurements

139829 Time intervals measured by a clock give the following readings 1.25 s,1.24 s,1.27 s,1.21 s and 1.28 s. What is the percentage relative error of the observations?

1 2%
2 4%
3 16%
4 1.6%
Units and Measurements

139830 A physical quantity z depends on four observables a,b,c and d, as z=a2b2/3cd3. The percentages of error in the measurement of a,b,c and d are 2%,1.5%,4% and 2.5% respectively. The percentage of error in z is

1 13.5%
2 16.5%
3 14.5%
4 12.25%
Units and Measurements

139831 If absolute error is 0.05 m for a measured length of 5 m. What is the percentage error?

1 1%
2 2%
3 3%
4 4%
Units and Measurements

139828 A student determined Young's modulus of elasticity using the formula Y=MgL34b3δ. The value of g is taken to be 9.8 m/s2, without any significant error, his observations are as following.
| Physical quantity | Least count of \lt br> the equipment \lt br> used for \lt br> measurement | Observed \lt br> value |
| :--- | :--- | :--- |
| Mass (M) | 1 g | 2 kg |
| Length of bar (L) | 1 mm | 1 m |
| Breadth of bar (b) | 0.1 mm | 4 cm |
| Thickness of bar (d) | 0.01 mm | 0.4 cm |
| Depression ( δ ) | 0.01 mm | 5 mm |
Then, the fractional error in the measurement of Y is

1 0.0083
2 0.0155
3 0.155
4 0.083
Units and Measurements

139829 Time intervals measured by a clock give the following readings 1.25 s,1.24 s,1.27 s,1.21 s and 1.28 s. What is the percentage relative error of the observations?

1 2%
2 4%
3 16%
4 1.6%
Units and Measurements

139830 A physical quantity z depends on four observables a,b,c and d, as z=a2b2/3cd3. The percentages of error in the measurement of a,b,c and d are 2%,1.5%,4% and 2.5% respectively. The percentage of error in z is

1 13.5%
2 16.5%
3 14.5%
4 12.25%
Units and Measurements

139831 If absolute error is 0.05 m for a measured length of 5 m. What is the percentage error?

1 1%
2 2%
3 3%
4 4%