03. Errors
Units and Measurements

139881 If the error in the measurement of radius of a sphere is \(1 \%\) the error in the measurement of volume will be

1 \(1.1 \%\)
2 \(3 \%\)
3 \(5 \%\)
4 \(8 \%\)
Units and Measurements

139882 Two parameters \(\mathrm{a}\) and \(\mathrm{c}\) are measured experimentally and used to determine a quantity \(V\) given by \(V=\frac{\sqrt{3}}{2} a^{2} c\). If the percentage errors in the measurement of a and \(c\) are respectively 1 and 2 , the percentage error in the measurement of \(V\) is

1 3
2 5
3 1
4 4
Units and Measurements

139883 The percentage errors of the measurements of two physical quantities \(A\) and \(B\) are given by \(U_{A}\) and \(U_{B}\left(U_{A}>U_{B}\right)\). If the percentage errors of the measurements of \(A^{2}, B^{2}, A B\) are denoted by \(U_{A^{2}}, U_{B^{2}}, U_{A B}\) respectively, then

1 \(\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{A}^{2}}>\mathrm{U}_{\mathrm{B}^{2}}\)
2 \(\mathrm{U}_{\mathrm{A}^{2}}>\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{B}^{2}}\)
3 \(\mathrm{U}_{\mathrm{B}^{2}}>\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{A}^{2}}\)
4 \(\mathrm{U}_{\mathrm{A}^{2}}=\mathrm{U}_{\mathrm{AB}}=\mathrm{U}_{\mathrm{B}^{2}}\)
Units and Measurements

139884 The poison's ratio of a material is 0.4 . If a force is applied to a wire of this material, there is a decrease of cross-sectional area by \(2 \%\). The percentage increase in its length is

1 \(3 \%\)
2 \(2.5 \%\)
3 \(1 \%\)
4 \(0.5 \%\)
Units and Measurements

139881 If the error in the measurement of radius of a sphere is \(1 \%\) the error in the measurement of volume will be

1 \(1.1 \%\)
2 \(3 \%\)
3 \(5 \%\)
4 \(8 \%\)
Units and Measurements

139882 Two parameters \(\mathrm{a}\) and \(\mathrm{c}\) are measured experimentally and used to determine a quantity \(V\) given by \(V=\frac{\sqrt{3}}{2} a^{2} c\). If the percentage errors in the measurement of a and \(c\) are respectively 1 and 2 , the percentage error in the measurement of \(V\) is

1 3
2 5
3 1
4 4
Units and Measurements

139883 The percentage errors of the measurements of two physical quantities \(A\) and \(B\) are given by \(U_{A}\) and \(U_{B}\left(U_{A}>U_{B}\right)\). If the percentage errors of the measurements of \(A^{2}, B^{2}, A B\) are denoted by \(U_{A^{2}}, U_{B^{2}}, U_{A B}\) respectively, then

1 \(\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{A}^{2}}>\mathrm{U}_{\mathrm{B}^{2}}\)
2 \(\mathrm{U}_{\mathrm{A}^{2}}>\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{B}^{2}}\)
3 \(\mathrm{U}_{\mathrm{B}^{2}}>\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{A}^{2}}\)
4 \(\mathrm{U}_{\mathrm{A}^{2}}=\mathrm{U}_{\mathrm{AB}}=\mathrm{U}_{\mathrm{B}^{2}}\)
Units and Measurements

139884 The poison's ratio of a material is 0.4 . If a force is applied to a wire of this material, there is a decrease of cross-sectional area by \(2 \%\). The percentage increase in its length is

1 \(3 \%\)
2 \(2.5 \%\)
3 \(1 \%\)
4 \(0.5 \%\)
Units and Measurements

139881 If the error in the measurement of radius of a sphere is \(1 \%\) the error in the measurement of volume will be

1 \(1.1 \%\)
2 \(3 \%\)
3 \(5 \%\)
4 \(8 \%\)
Units and Measurements

139882 Two parameters \(\mathrm{a}\) and \(\mathrm{c}\) are measured experimentally and used to determine a quantity \(V\) given by \(V=\frac{\sqrt{3}}{2} a^{2} c\). If the percentage errors in the measurement of a and \(c\) are respectively 1 and 2 , the percentage error in the measurement of \(V\) is

1 3
2 5
3 1
4 4
Units and Measurements

139883 The percentage errors of the measurements of two physical quantities \(A\) and \(B\) are given by \(U_{A}\) and \(U_{B}\left(U_{A}>U_{B}\right)\). If the percentage errors of the measurements of \(A^{2}, B^{2}, A B\) are denoted by \(U_{A^{2}}, U_{B^{2}}, U_{A B}\) respectively, then

1 \(\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{A}^{2}}>\mathrm{U}_{\mathrm{B}^{2}}\)
2 \(\mathrm{U}_{\mathrm{A}^{2}}>\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{B}^{2}}\)
3 \(\mathrm{U}_{\mathrm{B}^{2}}>\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{A}^{2}}\)
4 \(\mathrm{U}_{\mathrm{A}^{2}}=\mathrm{U}_{\mathrm{AB}}=\mathrm{U}_{\mathrm{B}^{2}}\)
Units and Measurements

139884 The poison's ratio of a material is 0.4 . If a force is applied to a wire of this material, there is a decrease of cross-sectional area by \(2 \%\). The percentage increase in its length is

1 \(3 \%\)
2 \(2.5 \%\)
3 \(1 \%\)
4 \(0.5 \%\)
Units and Measurements

139881 If the error in the measurement of radius of a sphere is \(1 \%\) the error in the measurement of volume will be

1 \(1.1 \%\)
2 \(3 \%\)
3 \(5 \%\)
4 \(8 \%\)
Units and Measurements

139882 Two parameters \(\mathrm{a}\) and \(\mathrm{c}\) are measured experimentally and used to determine a quantity \(V\) given by \(V=\frac{\sqrt{3}}{2} a^{2} c\). If the percentage errors in the measurement of a and \(c\) are respectively 1 and 2 , the percentage error in the measurement of \(V\) is

1 3
2 5
3 1
4 4
Units and Measurements

139883 The percentage errors of the measurements of two physical quantities \(A\) and \(B\) are given by \(U_{A}\) and \(U_{B}\left(U_{A}>U_{B}\right)\). If the percentage errors of the measurements of \(A^{2}, B^{2}, A B\) are denoted by \(U_{A^{2}}, U_{B^{2}}, U_{A B}\) respectively, then

1 \(\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{A}^{2}}>\mathrm{U}_{\mathrm{B}^{2}}\)
2 \(\mathrm{U}_{\mathrm{A}^{2}}>\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{B}^{2}}\)
3 \(\mathrm{U}_{\mathrm{B}^{2}}>\mathrm{U}_{\mathrm{AB}}>\mathrm{U}_{\mathrm{A}^{2}}\)
4 \(\mathrm{U}_{\mathrm{A}^{2}}=\mathrm{U}_{\mathrm{AB}}=\mathrm{U}_{\mathrm{B}^{2}}\)
Units and Measurements

139884 The poison's ratio of a material is 0.4 . If a force is applied to a wire of this material, there is a decrease of cross-sectional area by \(2 \%\). The percentage increase in its length is

1 \(3 \%\)
2 \(2.5 \%\)
3 \(1 \%\)
4 \(0.5 \%\)