03. Errors
Units and Measurements

139809 A torque meter is calibrated to reference standards of mass, length and time each with \(5 \%\) accuracy. After calibration, the measured torque with this torque meter will have net accuracy of:

1 \(15 \%\)
2 \(25 \%\)
3 \(75 \%\)
4 \(5 \%\)
Units and Measurements

139810 A silver wire has mass \((0.6 \pm 0.006) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((4 \pm 0.04) \mathrm{cm}\). The maximum percentage error in the measurement of its density will be

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

139812 The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are \(1 \%, 2 \%\) and \(3 \%\) respectively. The maximum percentage error in the detection of the dissipated heat will be:

1 2
2 4
3 6
4 8
Units and Measurements

139813 A physical quantity \(P\) is related to four observables a,b,c, and \(d\) as \(P=\frac{\sqrt{a b} \cdot d^{\alpha}}{\sqrt{c}} \quad(\alpha\) is constant). The percentage errors in \(a, b, c\) and \(d\) are \(0.5 \%\) in each. If the percentage error in \(P\) is \(2 \%\), then \(\alpha\) is-

1 \(\frac{5}{2}\)
2 \(\frac{2}{5}\)
3 \(\frac{3}{4}\)
4 \(\frac{3}{2}\)
Units and Measurements

139809 A torque meter is calibrated to reference standards of mass, length and time each with \(5 \%\) accuracy. After calibration, the measured torque with this torque meter will have net accuracy of:

1 \(15 \%\)
2 \(25 \%\)
3 \(75 \%\)
4 \(5 \%\)
Units and Measurements

139810 A silver wire has mass \((0.6 \pm 0.006) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((4 \pm 0.04) \mathrm{cm}\). The maximum percentage error in the measurement of its density will be

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

139812 The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are \(1 \%, 2 \%\) and \(3 \%\) respectively. The maximum percentage error in the detection of the dissipated heat will be:

1 2
2 4
3 6
4 8
Units and Measurements

139813 A physical quantity \(P\) is related to four observables a,b,c, and \(d\) as \(P=\frac{\sqrt{a b} \cdot d^{\alpha}}{\sqrt{c}} \quad(\alpha\) is constant). The percentage errors in \(a, b, c\) and \(d\) are \(0.5 \%\) in each. If the percentage error in \(P\) is \(2 \%\), then \(\alpha\) is-

1 \(\frac{5}{2}\)
2 \(\frac{2}{5}\)
3 \(\frac{3}{4}\)
4 \(\frac{3}{2}\)
Units and Measurements

139809 A torque meter is calibrated to reference standards of mass, length and time each with \(5 \%\) accuracy. After calibration, the measured torque with this torque meter will have net accuracy of:

1 \(15 \%\)
2 \(25 \%\)
3 \(75 \%\)
4 \(5 \%\)
Units and Measurements

139810 A silver wire has mass \((0.6 \pm 0.006) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((4 \pm 0.04) \mathrm{cm}\). The maximum percentage error in the measurement of its density will be

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

139812 The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are \(1 \%, 2 \%\) and \(3 \%\) respectively. The maximum percentage error in the detection of the dissipated heat will be:

1 2
2 4
3 6
4 8
Units and Measurements

139813 A physical quantity \(P\) is related to four observables a,b,c, and \(d\) as \(P=\frac{\sqrt{a b} \cdot d^{\alpha}}{\sqrt{c}} \quad(\alpha\) is constant). The percentage errors in \(a, b, c\) and \(d\) are \(0.5 \%\) in each. If the percentage error in \(P\) is \(2 \%\), then \(\alpha\) is-

1 \(\frac{5}{2}\)
2 \(\frac{2}{5}\)
3 \(\frac{3}{4}\)
4 \(\frac{3}{2}\)
Units and Measurements

139809 A torque meter is calibrated to reference standards of mass, length and time each with \(5 \%\) accuracy. After calibration, the measured torque with this torque meter will have net accuracy of:

1 \(15 \%\)
2 \(25 \%\)
3 \(75 \%\)
4 \(5 \%\)
Units and Measurements

139810 A silver wire has mass \((0.6 \pm 0.006) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((4 \pm 0.04) \mathrm{cm}\). The maximum percentage error in the measurement of its density will be

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

139812 The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are \(1 \%, 2 \%\) and \(3 \%\) respectively. The maximum percentage error in the detection of the dissipated heat will be:

1 2
2 4
3 6
4 8
Units and Measurements

139813 A physical quantity \(P\) is related to four observables a,b,c, and \(d\) as \(P=\frac{\sqrt{a b} \cdot d^{\alpha}}{\sqrt{c}} \quad(\alpha\) is constant). The percentage errors in \(a, b, c\) and \(d\) are \(0.5 \%\) in each. If the percentage error in \(P\) is \(2 \%\), then \(\alpha\) is-

1 \(\frac{5}{2}\)
2 \(\frac{2}{5}\)
3 \(\frac{3}{4}\)
4 \(\frac{3}{2}\)