03. Errors
Units and Measurements

139851 A wooden cubical block of mass, \(m=20 \mathrm{~kg}\) is measured within an error of \(10 \mathrm{~g}\). Its side length, \(l=100 \mathrm{~cm}\) is measured within an error of \(1 \mathrm{~mm}\). Then, the relative error in the measurement of its density is

1 \(1.8 \times 10^{-2}\)
2 \(2.6 \times 10^{-2}\)
3 \(3.5 \times 10^{-3}\)
4 \(4.8 \times 10^{-3}\)
Units and Measurements

139854 \(\mathrm{R}=65 \pm 1 \Omega \mathrm{L}, l=5 \pm 0.1 \mathrm{~mm}\) and \(\mathrm{d}=10 \pm 0.5\) mm. Find error I calculation of resistivity.

1 \(21 \%\)
2 \(13 \%\)
3 \(16 \%\)
4 \(41 \%\)
Units and Measurements

139855 A physical quantity \(Q\) is related to four independent observables \(\alpha, \beta, \mathrm{c}\) and \(\mathrm{d}\) as \(\mathrm{Q}=\frac{\alpha^{3} \beta^{2}}{\sqrt{\mathrm{cd}}}\)
The percentage error of measurement is \(\alpha, \beta, c\) and \(d\) respectively are \(1 \% 3 \% 4 \%\) and \(2 \%\) The percentage error in the quantity \(Q\) is then

1 \(5 \%\)
2 \(12 \%\)
3 \(13 \%\)
4 \(24 \%\)
Units and Measurements

139856 A force \(\vec{F}\) is applied on a square plate of length \(L\). If the percentage error in the determination of \(\mathrm{L}\) is \(3 \%\) and in \(\mathrm{F}\) is \(4 \%\) the permissible error in the calculation of pressure is

1 \(13 \%\)
2 \(10 \%\)
3 \(7 \%\)
4 \(12 \%\)
Units and Measurements

139857 The following observations were taken for determining surface tension \(T\) of water by capillary method, Diameter of capillary, d \(=1.25 \times 10^{-2} \mathrm{~m}\), Rise of water, \(h=1.45 \times 10^{-2} \mathrm{~m}\). Using \(g=9.80 \mathrm{~m} / \mathrm{s}^{2}\) and the simplified relation \(\mathrm{T}=\frac{\text { rhg }}{2} \times 10^{3} \mathrm{~N} / \mathrm{m}\), the possible error in surface tension is closest to

1 \(1.5 \%\)
2 \(2.4 \%\)
3 \(10 \%\)
4 \(0.15 \%\)
Units and Measurements

139851 A wooden cubical block of mass, \(m=20 \mathrm{~kg}\) is measured within an error of \(10 \mathrm{~g}\). Its side length, \(l=100 \mathrm{~cm}\) is measured within an error of \(1 \mathrm{~mm}\). Then, the relative error in the measurement of its density is

1 \(1.8 \times 10^{-2}\)
2 \(2.6 \times 10^{-2}\)
3 \(3.5 \times 10^{-3}\)
4 \(4.8 \times 10^{-3}\)
Units and Measurements

139854 \(\mathrm{R}=65 \pm 1 \Omega \mathrm{L}, l=5 \pm 0.1 \mathrm{~mm}\) and \(\mathrm{d}=10 \pm 0.5\) mm. Find error I calculation of resistivity.

1 \(21 \%\)
2 \(13 \%\)
3 \(16 \%\)
4 \(41 \%\)
Units and Measurements

139855 A physical quantity \(Q\) is related to four independent observables \(\alpha, \beta, \mathrm{c}\) and \(\mathrm{d}\) as \(\mathrm{Q}=\frac{\alpha^{3} \beta^{2}}{\sqrt{\mathrm{cd}}}\)
The percentage error of measurement is \(\alpha, \beta, c\) and \(d\) respectively are \(1 \% 3 \% 4 \%\) and \(2 \%\) The percentage error in the quantity \(Q\) is then

1 \(5 \%\)
2 \(12 \%\)
3 \(13 \%\)
4 \(24 \%\)
Units and Measurements

139856 A force \(\vec{F}\) is applied on a square plate of length \(L\). If the percentage error in the determination of \(\mathrm{L}\) is \(3 \%\) and in \(\mathrm{F}\) is \(4 \%\) the permissible error in the calculation of pressure is

1 \(13 \%\)
2 \(10 \%\)
3 \(7 \%\)
4 \(12 \%\)
Units and Measurements

139857 The following observations were taken for determining surface tension \(T\) of water by capillary method, Diameter of capillary, d \(=1.25 \times 10^{-2} \mathrm{~m}\), Rise of water, \(h=1.45 \times 10^{-2} \mathrm{~m}\). Using \(g=9.80 \mathrm{~m} / \mathrm{s}^{2}\) and the simplified relation \(\mathrm{T}=\frac{\text { rhg }}{2} \times 10^{3} \mathrm{~N} / \mathrm{m}\), the possible error in surface tension is closest to

1 \(1.5 \%\)
2 \(2.4 \%\)
3 \(10 \%\)
4 \(0.15 \%\)
Units and Measurements

139851 A wooden cubical block of mass, \(m=20 \mathrm{~kg}\) is measured within an error of \(10 \mathrm{~g}\). Its side length, \(l=100 \mathrm{~cm}\) is measured within an error of \(1 \mathrm{~mm}\). Then, the relative error in the measurement of its density is

1 \(1.8 \times 10^{-2}\)
2 \(2.6 \times 10^{-2}\)
3 \(3.5 \times 10^{-3}\)
4 \(4.8 \times 10^{-3}\)
Units and Measurements

139854 \(\mathrm{R}=65 \pm 1 \Omega \mathrm{L}, l=5 \pm 0.1 \mathrm{~mm}\) and \(\mathrm{d}=10 \pm 0.5\) mm. Find error I calculation of resistivity.

1 \(21 \%\)
2 \(13 \%\)
3 \(16 \%\)
4 \(41 \%\)
Units and Measurements

139855 A physical quantity \(Q\) is related to four independent observables \(\alpha, \beta, \mathrm{c}\) and \(\mathrm{d}\) as \(\mathrm{Q}=\frac{\alpha^{3} \beta^{2}}{\sqrt{\mathrm{cd}}}\)
The percentage error of measurement is \(\alpha, \beta, c\) and \(d\) respectively are \(1 \% 3 \% 4 \%\) and \(2 \%\) The percentage error in the quantity \(Q\) is then

1 \(5 \%\)
2 \(12 \%\)
3 \(13 \%\)
4 \(24 \%\)
Units and Measurements

139856 A force \(\vec{F}\) is applied on a square plate of length \(L\). If the percentage error in the determination of \(\mathrm{L}\) is \(3 \%\) and in \(\mathrm{F}\) is \(4 \%\) the permissible error in the calculation of pressure is

1 \(13 \%\)
2 \(10 \%\)
3 \(7 \%\)
4 \(12 \%\)
Units and Measurements

139857 The following observations were taken for determining surface tension \(T\) of water by capillary method, Diameter of capillary, d \(=1.25 \times 10^{-2} \mathrm{~m}\), Rise of water, \(h=1.45 \times 10^{-2} \mathrm{~m}\). Using \(g=9.80 \mathrm{~m} / \mathrm{s}^{2}\) and the simplified relation \(\mathrm{T}=\frac{\text { rhg }}{2} \times 10^{3} \mathrm{~N} / \mathrm{m}\), the possible error in surface tension is closest to

1 \(1.5 \%\)
2 \(2.4 \%\)
3 \(10 \%\)
4 \(0.15 \%\)
Units and Measurements

139851 A wooden cubical block of mass, \(m=20 \mathrm{~kg}\) is measured within an error of \(10 \mathrm{~g}\). Its side length, \(l=100 \mathrm{~cm}\) is measured within an error of \(1 \mathrm{~mm}\). Then, the relative error in the measurement of its density is

1 \(1.8 \times 10^{-2}\)
2 \(2.6 \times 10^{-2}\)
3 \(3.5 \times 10^{-3}\)
4 \(4.8 \times 10^{-3}\)
Units and Measurements

139854 \(\mathrm{R}=65 \pm 1 \Omega \mathrm{L}, l=5 \pm 0.1 \mathrm{~mm}\) and \(\mathrm{d}=10 \pm 0.5\) mm. Find error I calculation of resistivity.

1 \(21 \%\)
2 \(13 \%\)
3 \(16 \%\)
4 \(41 \%\)
Units and Measurements

139855 A physical quantity \(Q\) is related to four independent observables \(\alpha, \beta, \mathrm{c}\) and \(\mathrm{d}\) as \(\mathrm{Q}=\frac{\alpha^{3} \beta^{2}}{\sqrt{\mathrm{cd}}}\)
The percentage error of measurement is \(\alpha, \beta, c\) and \(d\) respectively are \(1 \% 3 \% 4 \%\) and \(2 \%\) The percentage error in the quantity \(Q\) is then

1 \(5 \%\)
2 \(12 \%\)
3 \(13 \%\)
4 \(24 \%\)
Units and Measurements

139856 A force \(\vec{F}\) is applied on a square plate of length \(L\). If the percentage error in the determination of \(\mathrm{L}\) is \(3 \%\) and in \(\mathrm{F}\) is \(4 \%\) the permissible error in the calculation of pressure is

1 \(13 \%\)
2 \(10 \%\)
3 \(7 \%\)
4 \(12 \%\)
Units and Measurements

139857 The following observations were taken for determining surface tension \(T\) of water by capillary method, Diameter of capillary, d \(=1.25 \times 10^{-2} \mathrm{~m}\), Rise of water, \(h=1.45 \times 10^{-2} \mathrm{~m}\). Using \(g=9.80 \mathrm{~m} / \mathrm{s}^{2}\) and the simplified relation \(\mathrm{T}=\frac{\text { rhg }}{2} \times 10^{3} \mathrm{~N} / \mathrm{m}\), the possible error in surface tension is closest to

1 \(1.5 \%\)
2 \(2.4 \%\)
3 \(10 \%\)
4 \(0.15 \%\)
Units and Measurements

139851 A wooden cubical block of mass, \(m=20 \mathrm{~kg}\) is measured within an error of \(10 \mathrm{~g}\). Its side length, \(l=100 \mathrm{~cm}\) is measured within an error of \(1 \mathrm{~mm}\). Then, the relative error in the measurement of its density is

1 \(1.8 \times 10^{-2}\)
2 \(2.6 \times 10^{-2}\)
3 \(3.5 \times 10^{-3}\)
4 \(4.8 \times 10^{-3}\)
Units and Measurements

139854 \(\mathrm{R}=65 \pm 1 \Omega \mathrm{L}, l=5 \pm 0.1 \mathrm{~mm}\) and \(\mathrm{d}=10 \pm 0.5\) mm. Find error I calculation of resistivity.

1 \(21 \%\)
2 \(13 \%\)
3 \(16 \%\)
4 \(41 \%\)
Units and Measurements

139855 A physical quantity \(Q\) is related to four independent observables \(\alpha, \beta, \mathrm{c}\) and \(\mathrm{d}\) as \(\mathrm{Q}=\frac{\alpha^{3} \beta^{2}}{\sqrt{\mathrm{cd}}}\)
The percentage error of measurement is \(\alpha, \beta, c\) and \(d\) respectively are \(1 \% 3 \% 4 \%\) and \(2 \%\) The percentage error in the quantity \(Q\) is then

1 \(5 \%\)
2 \(12 \%\)
3 \(13 \%\)
4 \(24 \%\)
Units and Measurements

139856 A force \(\vec{F}\) is applied on a square plate of length \(L\). If the percentage error in the determination of \(\mathrm{L}\) is \(3 \%\) and in \(\mathrm{F}\) is \(4 \%\) the permissible error in the calculation of pressure is

1 \(13 \%\)
2 \(10 \%\)
3 \(7 \%\)
4 \(12 \%\)
Units and Measurements

139857 The following observations were taken for determining surface tension \(T\) of water by capillary method, Diameter of capillary, d \(=1.25 \times 10^{-2} \mathrm{~m}\), Rise of water, \(h=1.45 \times 10^{-2} \mathrm{~m}\). Using \(g=9.80 \mathrm{~m} / \mathrm{s}^{2}\) and the simplified relation \(\mathrm{T}=\frac{\text { rhg }}{2} \times 10^{3} \mathrm{~N} / \mathrm{m}\), the possible error in surface tension is closest to

1 \(1.5 \%\)
2 \(2.4 \%\)
3 \(10 \%\)
4 \(0.15 \%\)