03. Errors
Units and Measurements

139836 A cylindrical wire has a mass \((0.3 \pm 0.003) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((6 \pm 0.06)\) cm. The maximum percentage error in the measurement of its density is :

1 1
2 2
3 3
4 4
Units and Measurements

139837 The power in an electrical circuit for a current of \(5 \pm 0.4 \mathrm{~A}\) and voltage \(10 \pm 0.2 \mathrm{~V}\) is measured at \(10 \%\) error. To measure the power at \(5 \%\) error the current should be measured at an error of

1 \(5 \%\)
2 \(2 \%\)
3 \(10 \%\)
4 \(3 \%\)
5 \(4 \%\)
Units and Measurements

139838 A physical quantity \(X=\frac{A^{2} B}{C^{1 / 3} \sqrt{D}}\) is calculated by using measured quantities \(A, B C\) and \(B\). If errors in the measurement of \(A, B, C\), and \(D\) are \(1 \%, 2 \%, 3 \%\) and \(4 \%\) respectively, then the percentage of error in the measurement of \(X\) will be

1 \(3 \%\)
2 \(5 \%\)
3 \(7 \%\)
4 \(10 \%\)
Units and Measurements

139839 In a simple pendulum, experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be \(30 \mathrm{~s}\). The length of pendulum is measured by using a meter scale of least count \(1 \mathrm{~mm}\) and the value obtained \(55.0 \mathrm{~cm}\). The percentage error in the determination of \(\mathbf{g}\) is close to

1 \(0.7 \%\)
2 \(6.8 \%\)
3 \(3.5 \%\)
4 \(0.2 \%\)
Units and Measurements

139840 In the density measurement of a cube, the mass and edge length are measured as \((\mathbf{1 0 . 0 0} \pm 0.10)\) \(\mathrm{kg}\) and \((0.10 \pm 0.01) \mathrm{m}\), respectively. The error in the measurement of density is

1 \(0.01 \mathrm{~kg} / \mathrm{m}^{3}\)
2 \(0.10 \mathrm{~kg} / \mathrm{m}^{3}\)
3 \(0.07 \mathrm{~kg} / \mathrm{m}^{3}\)
4 \(0.31 \mathrm{~kg} / \mathrm{m}^{3}\)
Units and Measurements

139836 A cylindrical wire has a mass \((0.3 \pm 0.003) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((6 \pm 0.06)\) cm. The maximum percentage error in the measurement of its density is :

1 1
2 2
3 3
4 4
Units and Measurements

139837 The power in an electrical circuit for a current of \(5 \pm 0.4 \mathrm{~A}\) and voltage \(10 \pm 0.2 \mathrm{~V}\) is measured at \(10 \%\) error. To measure the power at \(5 \%\) error the current should be measured at an error of

1 \(5 \%\)
2 \(2 \%\)
3 \(10 \%\)
4 \(3 \%\)
5 \(4 \%\)
Units and Measurements

139838 A physical quantity \(X=\frac{A^{2} B}{C^{1 / 3} \sqrt{D}}\) is calculated by using measured quantities \(A, B C\) and \(B\). If errors in the measurement of \(A, B, C\), and \(D\) are \(1 \%, 2 \%, 3 \%\) and \(4 \%\) respectively, then the percentage of error in the measurement of \(X\) will be

1 \(3 \%\)
2 \(5 \%\)
3 \(7 \%\)
4 \(10 \%\)
Units and Measurements

139839 In a simple pendulum, experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be \(30 \mathrm{~s}\). The length of pendulum is measured by using a meter scale of least count \(1 \mathrm{~mm}\) and the value obtained \(55.0 \mathrm{~cm}\). The percentage error in the determination of \(\mathbf{g}\) is close to

1 \(0.7 \%\)
2 \(6.8 \%\)
3 \(3.5 \%\)
4 \(0.2 \%\)
Units and Measurements

139840 In the density measurement of a cube, the mass and edge length are measured as \((\mathbf{1 0 . 0 0} \pm 0.10)\) \(\mathrm{kg}\) and \((0.10 \pm 0.01) \mathrm{m}\), respectively. The error in the measurement of density is

1 \(0.01 \mathrm{~kg} / \mathrm{m}^{3}\)
2 \(0.10 \mathrm{~kg} / \mathrm{m}^{3}\)
3 \(0.07 \mathrm{~kg} / \mathrm{m}^{3}\)
4 \(0.31 \mathrm{~kg} / \mathrm{m}^{3}\)
Units and Measurements

139836 A cylindrical wire has a mass \((0.3 \pm 0.003) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((6 \pm 0.06)\) cm. The maximum percentage error in the measurement of its density is :

1 1
2 2
3 3
4 4
Units and Measurements

139837 The power in an electrical circuit for a current of \(5 \pm 0.4 \mathrm{~A}\) and voltage \(10 \pm 0.2 \mathrm{~V}\) is measured at \(10 \%\) error. To measure the power at \(5 \%\) error the current should be measured at an error of

1 \(5 \%\)
2 \(2 \%\)
3 \(10 \%\)
4 \(3 \%\)
5 \(4 \%\)
Units and Measurements

139838 A physical quantity \(X=\frac{A^{2} B}{C^{1 / 3} \sqrt{D}}\) is calculated by using measured quantities \(A, B C\) and \(B\). If errors in the measurement of \(A, B, C\), and \(D\) are \(1 \%, 2 \%, 3 \%\) and \(4 \%\) respectively, then the percentage of error in the measurement of \(X\) will be

1 \(3 \%\)
2 \(5 \%\)
3 \(7 \%\)
4 \(10 \%\)
Units and Measurements

139839 In a simple pendulum, experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be \(30 \mathrm{~s}\). The length of pendulum is measured by using a meter scale of least count \(1 \mathrm{~mm}\) and the value obtained \(55.0 \mathrm{~cm}\). The percentage error in the determination of \(\mathbf{g}\) is close to

1 \(0.7 \%\)
2 \(6.8 \%\)
3 \(3.5 \%\)
4 \(0.2 \%\)
Units and Measurements

139840 In the density measurement of a cube, the mass and edge length are measured as \((\mathbf{1 0 . 0 0} \pm 0.10)\) \(\mathrm{kg}\) and \((0.10 \pm 0.01) \mathrm{m}\), respectively. The error in the measurement of density is

1 \(0.01 \mathrm{~kg} / \mathrm{m}^{3}\)
2 \(0.10 \mathrm{~kg} / \mathrm{m}^{3}\)
3 \(0.07 \mathrm{~kg} / \mathrm{m}^{3}\)
4 \(0.31 \mathrm{~kg} / \mathrm{m}^{3}\)
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Units and Measurements

139836 A cylindrical wire has a mass \((0.3 \pm 0.003) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((6 \pm 0.06)\) cm. The maximum percentage error in the measurement of its density is :

1 1
2 2
3 3
4 4
Units and Measurements

139837 The power in an electrical circuit for a current of \(5 \pm 0.4 \mathrm{~A}\) and voltage \(10 \pm 0.2 \mathrm{~V}\) is measured at \(10 \%\) error. To measure the power at \(5 \%\) error the current should be measured at an error of

1 \(5 \%\)
2 \(2 \%\)
3 \(10 \%\)
4 \(3 \%\)
5 \(4 \%\)
Units and Measurements

139838 A physical quantity \(X=\frac{A^{2} B}{C^{1 / 3} \sqrt{D}}\) is calculated by using measured quantities \(A, B C\) and \(B\). If errors in the measurement of \(A, B, C\), and \(D\) are \(1 \%, 2 \%, 3 \%\) and \(4 \%\) respectively, then the percentage of error in the measurement of \(X\) will be

1 \(3 \%\)
2 \(5 \%\)
3 \(7 \%\)
4 \(10 \%\)
Units and Measurements

139839 In a simple pendulum, experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be \(30 \mathrm{~s}\). The length of pendulum is measured by using a meter scale of least count \(1 \mathrm{~mm}\) and the value obtained \(55.0 \mathrm{~cm}\). The percentage error in the determination of \(\mathbf{g}\) is close to

1 \(0.7 \%\)
2 \(6.8 \%\)
3 \(3.5 \%\)
4 \(0.2 \%\)
Units and Measurements

139840 In the density measurement of a cube, the mass and edge length are measured as \((\mathbf{1 0 . 0 0} \pm 0.10)\) \(\mathrm{kg}\) and \((0.10 \pm 0.01) \mathrm{m}\), respectively. The error in the measurement of density is

1 \(0.01 \mathrm{~kg} / \mathrm{m}^{3}\)
2 \(0.10 \mathrm{~kg} / \mathrm{m}^{3}\)
3 \(0.07 \mathrm{~kg} / \mathrm{m}^{3}\)
4 \(0.31 \mathrm{~kg} / \mathrm{m}^{3}\)
Units and Measurements

139836 A cylindrical wire has a mass \((0.3 \pm 0.003) \mathrm{g}\), radius \((0.5 \pm 0.005) \mathrm{mm}\) and length \((6 \pm 0.06)\) cm. The maximum percentage error in the measurement of its density is :

1 1
2 2
3 3
4 4
Units and Measurements

139837 The power in an electrical circuit for a current of \(5 \pm 0.4 \mathrm{~A}\) and voltage \(10 \pm 0.2 \mathrm{~V}\) is measured at \(10 \%\) error. To measure the power at \(5 \%\) error the current should be measured at an error of

1 \(5 \%\)
2 \(2 \%\)
3 \(10 \%\)
4 \(3 \%\)
5 \(4 \%\)
Units and Measurements

139838 A physical quantity \(X=\frac{A^{2} B}{C^{1 / 3} \sqrt{D}}\) is calculated by using measured quantities \(A, B C\) and \(B\). If errors in the measurement of \(A, B, C\), and \(D\) are \(1 \%, 2 \%, 3 \%\) and \(4 \%\) respectively, then the percentage of error in the measurement of \(X\) will be

1 \(3 \%\)
2 \(5 \%\)
3 \(7 \%\)
4 \(10 \%\)
Units and Measurements

139839 In a simple pendulum, experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be \(30 \mathrm{~s}\). The length of pendulum is measured by using a meter scale of least count \(1 \mathrm{~mm}\) and the value obtained \(55.0 \mathrm{~cm}\). The percentage error in the determination of \(\mathbf{g}\) is close to

1 \(0.7 \%\)
2 \(6.8 \%\)
3 \(3.5 \%\)
4 \(0.2 \%\)
Units and Measurements

139840 In the density measurement of a cube, the mass and edge length are measured as \((\mathbf{1 0 . 0 0} \pm 0.10)\) \(\mathrm{kg}\) and \((0.10 \pm 0.01) \mathrm{m}\), respectively. The error in the measurement of density is

1 \(0.01 \mathrm{~kg} / \mathrm{m}^{3}\)
2 \(0.10 \mathrm{~kg} / \mathrm{m}^{3}\)
3 \(0.07 \mathrm{~kg} / \mathrm{m}^{3}\)
4 \(0.31 \mathrm{~kg} / \mathrm{m}^{3}\)