Errors
PHXI02:UNITS AND MEASUREMENTS

367494 The length and breadth of a rectangular sheet have been measured by a measuring scale to an accuracy of \(0.1\;cm\). If the measured values are \(35.2\;cm\,\,{\rm{and}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} 21.7\;cm\), respectively, then find the relative error in the area of the sheet.

1 \(\pm 8 \times 10^{-2}\)
2 \(\pm 4 \times 10^{-3}\)
3 \(\pm 7.45 \times 10^{-3}\)
4 \(\pm 9 \times 10^{-6}\)
PHXI02:UNITS AND MEASUREMENTS

367495 Estimate the percentage error in the determination of density of a material taken in the form of a cylinder with 2 % error in mass , 1 % error in radius and 3 % error in height .

1 \(3\,\% \)
2 \(4\,\% \)
3 \(7\,\% \)
4 \(5\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367496 The percentage errors in the measurement of mass and speed are \({1 \%}\) and \({2 \%}\) respectively. What is the percentage error in the kinetic energy

1 \({5 \%}\)
2 \({2.5 \%}\)
3 \({3 \%}\)
4 \({1.5 \%}\)
PHXI02:UNITS AND MEASUREMENTS

367497 A person measures two quantities as \(A = 1.0m \pm 0.2m,\)
\(B = 2.0m \pm 0.2m.\) We should report correct value for \(\sqrt {AB} \) as

1 \(1.4m + 0.3m\)
2 \(1.4m \pm 0.2m\)
3 \(1.4m \pm 0.4m\)
4 \(1.41m \pm 0.15m\)
PHXI02:UNITS AND MEASUREMENTS

367498 The resistance \(R=\dfrac{V}{I}\) where \(V=(200 \pm 5) V\) and \(I=(20 \pm 0.2)\) \(A\), the percentage error in the measurement of \(R\) is

1 \(5.5 \%\)
2 \(7 \%\)
3 \(3 \%\)
4 \(3.5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367494 The length and breadth of a rectangular sheet have been measured by a measuring scale to an accuracy of \(0.1\;cm\). If the measured values are \(35.2\;cm\,\,{\rm{and}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} 21.7\;cm\), respectively, then find the relative error in the area of the sheet.

1 \(\pm 8 \times 10^{-2}\)
2 \(\pm 4 \times 10^{-3}\)
3 \(\pm 7.45 \times 10^{-3}\)
4 \(\pm 9 \times 10^{-6}\)
PHXI02:UNITS AND MEASUREMENTS

367495 Estimate the percentage error in the determination of density of a material taken in the form of a cylinder with 2 % error in mass , 1 % error in radius and 3 % error in height .

1 \(3\,\% \)
2 \(4\,\% \)
3 \(7\,\% \)
4 \(5\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367496 The percentage errors in the measurement of mass and speed are \({1 \%}\) and \({2 \%}\) respectively. What is the percentage error in the kinetic energy

1 \({5 \%}\)
2 \({2.5 \%}\)
3 \({3 \%}\)
4 \({1.5 \%}\)
PHXI02:UNITS AND MEASUREMENTS

367497 A person measures two quantities as \(A = 1.0m \pm 0.2m,\)
\(B = 2.0m \pm 0.2m.\) We should report correct value for \(\sqrt {AB} \) as

1 \(1.4m + 0.3m\)
2 \(1.4m \pm 0.2m\)
3 \(1.4m \pm 0.4m\)
4 \(1.41m \pm 0.15m\)
PHXI02:UNITS AND MEASUREMENTS

367498 The resistance \(R=\dfrac{V}{I}\) where \(V=(200 \pm 5) V\) and \(I=(20 \pm 0.2)\) \(A\), the percentage error in the measurement of \(R\) is

1 \(5.5 \%\)
2 \(7 \%\)
3 \(3 \%\)
4 \(3.5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367494 The length and breadth of a rectangular sheet have been measured by a measuring scale to an accuracy of \(0.1\;cm\). If the measured values are \(35.2\;cm\,\,{\rm{and}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} 21.7\;cm\), respectively, then find the relative error in the area of the sheet.

1 \(\pm 8 \times 10^{-2}\)
2 \(\pm 4 \times 10^{-3}\)
3 \(\pm 7.45 \times 10^{-3}\)
4 \(\pm 9 \times 10^{-6}\)
PHXI02:UNITS AND MEASUREMENTS

367495 Estimate the percentage error in the determination of density of a material taken in the form of a cylinder with 2 % error in mass , 1 % error in radius and 3 % error in height .

1 \(3\,\% \)
2 \(4\,\% \)
3 \(7\,\% \)
4 \(5\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367496 The percentage errors in the measurement of mass and speed are \({1 \%}\) and \({2 \%}\) respectively. What is the percentage error in the kinetic energy

1 \({5 \%}\)
2 \({2.5 \%}\)
3 \({3 \%}\)
4 \({1.5 \%}\)
PHXI02:UNITS AND MEASUREMENTS

367497 A person measures two quantities as \(A = 1.0m \pm 0.2m,\)
\(B = 2.0m \pm 0.2m.\) We should report correct value for \(\sqrt {AB} \) as

1 \(1.4m + 0.3m\)
2 \(1.4m \pm 0.2m\)
3 \(1.4m \pm 0.4m\)
4 \(1.41m \pm 0.15m\)
PHXI02:UNITS AND MEASUREMENTS

367498 The resistance \(R=\dfrac{V}{I}\) where \(V=(200 \pm 5) V\) and \(I=(20 \pm 0.2)\) \(A\), the percentage error in the measurement of \(R\) is

1 \(5.5 \%\)
2 \(7 \%\)
3 \(3 \%\)
4 \(3.5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367494 The length and breadth of a rectangular sheet have been measured by a measuring scale to an accuracy of \(0.1\;cm\). If the measured values are \(35.2\;cm\,\,{\rm{and}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} 21.7\;cm\), respectively, then find the relative error in the area of the sheet.

1 \(\pm 8 \times 10^{-2}\)
2 \(\pm 4 \times 10^{-3}\)
3 \(\pm 7.45 \times 10^{-3}\)
4 \(\pm 9 \times 10^{-6}\)
PHXI02:UNITS AND MEASUREMENTS

367495 Estimate the percentage error in the determination of density of a material taken in the form of a cylinder with 2 % error in mass , 1 % error in radius and 3 % error in height .

1 \(3\,\% \)
2 \(4\,\% \)
3 \(7\,\% \)
4 \(5\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367496 The percentage errors in the measurement of mass and speed are \({1 \%}\) and \({2 \%}\) respectively. What is the percentage error in the kinetic energy

1 \({5 \%}\)
2 \({2.5 \%}\)
3 \({3 \%}\)
4 \({1.5 \%}\)
PHXI02:UNITS AND MEASUREMENTS

367497 A person measures two quantities as \(A = 1.0m \pm 0.2m,\)
\(B = 2.0m \pm 0.2m.\) We should report correct value for \(\sqrt {AB} \) as

1 \(1.4m + 0.3m\)
2 \(1.4m \pm 0.2m\)
3 \(1.4m \pm 0.4m\)
4 \(1.41m \pm 0.15m\)
PHXI02:UNITS AND MEASUREMENTS

367498 The resistance \(R=\dfrac{V}{I}\) where \(V=(200 \pm 5) V\) and \(I=(20 \pm 0.2)\) \(A\), the percentage error in the measurement of \(R\) is

1 \(5.5 \%\)
2 \(7 \%\)
3 \(3 \%\)
4 \(3.5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367494 The length and breadth of a rectangular sheet have been measured by a measuring scale to an accuracy of \(0.1\;cm\). If the measured values are \(35.2\;cm\,\,{\rm{and}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} 21.7\;cm\), respectively, then find the relative error in the area of the sheet.

1 \(\pm 8 \times 10^{-2}\)
2 \(\pm 4 \times 10^{-3}\)
3 \(\pm 7.45 \times 10^{-3}\)
4 \(\pm 9 \times 10^{-6}\)
PHXI02:UNITS AND MEASUREMENTS

367495 Estimate the percentage error in the determination of density of a material taken in the form of a cylinder with 2 % error in mass , 1 % error in radius and 3 % error in height .

1 \(3\,\% \)
2 \(4\,\% \)
3 \(7\,\% \)
4 \(5\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367496 The percentage errors in the measurement of mass and speed are \({1 \%}\) and \({2 \%}\) respectively. What is the percentage error in the kinetic energy

1 \({5 \%}\)
2 \({2.5 \%}\)
3 \({3 \%}\)
4 \({1.5 \%}\)
PHXI02:UNITS AND MEASUREMENTS

367497 A person measures two quantities as \(A = 1.0m \pm 0.2m,\)
\(B = 2.0m \pm 0.2m.\) We should report correct value for \(\sqrt {AB} \) as

1 \(1.4m + 0.3m\)
2 \(1.4m \pm 0.2m\)
3 \(1.4m \pm 0.4m\)
4 \(1.41m \pm 0.15m\)
PHXI02:UNITS AND MEASUREMENTS

367498 The resistance \(R=\dfrac{V}{I}\) where \(V=(200 \pm 5) V\) and \(I=(20 \pm 0.2)\) \(A\), the percentage error in the measurement of \(R\) is

1 \(5.5 \%\)
2 \(7 \%\)
3 \(3 \%\)
4 \(3.5 \%\)