03. Errors
Units and Measurements

139818 The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is

1 \((0.5 \pm 0.1) \mathrm{m}^{2}\)
2 \((0.5 \pm 0.01) \mathrm{m}^{2}\)
3 \((5000 \pm 10) \mathrm{cm}^{2}\)
4 \((5000 \pm 1) \mathrm{cm}^{2}\)
Units and Measurements

139819 Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be

1 \(0.5 \%\)
2 \(3.5 \%\)
3 \(1 \%\)
4 \(2 \sqrt{2} \%\)
Units and Measurements

139820 Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?

1 0.110
2 0.089
3 0.079
4 0.072
Units and Measurements

139821 If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is

1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Units and Measurements

139822 In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).

1 \(10 \%\)
2 \(15 \%\)
3 \(14 \%\)
4 \(12 \%\)
Units and Measurements

139818 The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is

1 \((0.5 \pm 0.1) \mathrm{m}^{2}\)
2 \((0.5 \pm 0.01) \mathrm{m}^{2}\)
3 \((5000 \pm 10) \mathrm{cm}^{2}\)
4 \((5000 \pm 1) \mathrm{cm}^{2}\)
Units and Measurements

139819 Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be

1 \(0.5 \%\)
2 \(3.5 \%\)
3 \(1 \%\)
4 \(2 \sqrt{2} \%\)
Units and Measurements

139820 Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?

1 0.110
2 0.089
3 0.079
4 0.072
Units and Measurements

139821 If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is

1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Units and Measurements

139822 In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).

1 \(10 \%\)
2 \(15 \%\)
3 \(14 \%\)
4 \(12 \%\)
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Units and Measurements

139818 The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is

1 \((0.5 \pm 0.1) \mathrm{m}^{2}\)
2 \((0.5 \pm 0.01) \mathrm{m}^{2}\)
3 \((5000 \pm 10) \mathrm{cm}^{2}\)
4 \((5000 \pm 1) \mathrm{cm}^{2}\)
Units and Measurements

139819 Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be

1 \(0.5 \%\)
2 \(3.5 \%\)
3 \(1 \%\)
4 \(2 \sqrt{2} \%\)
Units and Measurements

139820 Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?

1 0.110
2 0.089
3 0.079
4 0.072
Units and Measurements

139821 If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is

1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Units and Measurements

139822 In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).

1 \(10 \%\)
2 \(15 \%\)
3 \(14 \%\)
4 \(12 \%\)
Units and Measurements

139818 The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is

1 \((0.5 \pm 0.1) \mathrm{m}^{2}\)
2 \((0.5 \pm 0.01) \mathrm{m}^{2}\)
3 \((5000 \pm 10) \mathrm{cm}^{2}\)
4 \((5000 \pm 1) \mathrm{cm}^{2}\)
Units and Measurements

139819 Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be

1 \(0.5 \%\)
2 \(3.5 \%\)
3 \(1 \%\)
4 \(2 \sqrt{2} \%\)
Units and Measurements

139820 Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?

1 0.110
2 0.089
3 0.079
4 0.072
Units and Measurements

139821 If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is

1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Units and Measurements

139822 In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).

1 \(10 \%\)
2 \(15 \%\)
3 \(14 \%\)
4 \(12 \%\)
Units and Measurements

139818 The error in the measurement of the length and the breadth of a rectangular table is \(1 \%\). If the length and breadth of the table are \(1 \mathrm{~m}\) and 50 cm respectively, then the area of the table including error is

1 \((0.5 \pm 0.1) \mathrm{m}^{2}\)
2 \((0.5 \pm 0.01) \mathrm{m}^{2}\)
3 \((5000 \pm 10) \mathrm{cm}^{2}\)
4 \((5000 \pm 1) \mathrm{cm}^{2}\)
Units and Measurements

139819 Consider a physical quantity \(Z\) expressed as \(Z=\frac{A B^{\frac{1}{2}}}{C^{2}}\). If the relative error in the magnitudes of \(A, B\) and \(C\) is \(1 \%\) then the relative error in \(Z\) will be

1 \(0.5 \%\)
2 \(3.5 \%\)
3 \(1 \%\)
4 \(2 \sqrt{2} \%\)
Units and Measurements

139820 Consider a series of measurements of the length of a box in an experiment. The readings are \(2.4 \mathrm{~m}, 25.5 \mathrm{~m}, 2.8 \mathrm{~m}, 3.0 \mathrm{~m}\). What would be the relative error?

1 0.110
2 0.089
3 0.079
4 0.072
Units and Measurements

139821 If the length and time period of an oscillating pendulum have errors of \(1 \%\) and \(3 \%\) respectively, the error in measurement of acceleration due to gravity is

1 \(4 \%\)
2 \(5 \%\)
3 \(6 \%\)
4 \(7 \%\)
Units and Measurements

139822 In an experiment, four quantities \(a, b, c, d\) are measured with percentage errors \(2 \%, 1 \%, 3 \%\) and 5\% respectively. Quantity \(p\) is measured as \(P=\frac{a^{2} b^{2}}{c d}\). Find the percentage error in measuring \(P\).

1 \(10 \%\)
2 \(15 \%\)
3 \(14 \%\)
4 \(12 \%\)