03. Errors
Units and Measurements

139896 The percentage errors in the measurement of length and time period of a simple pendulum are \(1 \%\) and \(2 \%\) respectively. Then the maximum error in the measurement of acceleration due to gravity is

1 \(8 \%\)
2 \(3 \%\)
3 \(4 \%\)
4 \(6 \%\)
5 \(5 \%\)
Units and Measurements

139897 The values of two resistors are \(R_{1}=(6 \pm 0.3)\) \(\mathrm{k} \Omega\) and \(R_{2}=(10 \pm 0.2) \mathrm{k} \Omega\). The percentage error in the equivalent resistance when they are connected in parallel is

1 \(5.125 \%\)
2 \(2 \%\)
3 \(3.125 \%\)
4 \(7 \%\)
5 \(10.125 \%\)
Units and Measurements

139898 A physical quantity \(P\) is related to four measurable quantities \(a, b, c\), and \(d\) as follows
\(P=\frac{a^{3} b^{2}}{\sqrt{c} d}\)
The percentage errors of measurement in \(a, b\), c, and \(\mathrm{d}\) are \(1 \%, 3 \%, 4 \%\) and \(2 \%\). The percentage error in the quantity \(p\) is :

1 \(10 \%\)
2 \(13 \%\)
3 \(5 \%\)
4 \(15 \%\)
5 \(17 \%\)
Units and Measurements

139899 A physical quantity \(A\) is related to four observables a, \(b, c\) and \(d\) as follows:
\(A=\frac{a^{2} b^{3}}{c \sqrt{d}}\)
The percentage errors of measurement in \(a, b\), \(\mathrm{c}\) and \(\mathrm{d}\) are \(1 \%, 3 \%, 2 \%\) and \(2 \%\) respectively. What is the percentage error in the quantity \(A\) ?

1 \(12 \%\)
2 \(7 \%\)
3 \(5 \%\)
4 \(16 \%\)
5 \(14 \%\)
Units and Measurements

139896 The percentage errors in the measurement of length and time period of a simple pendulum are \(1 \%\) and \(2 \%\) respectively. Then the maximum error in the measurement of acceleration due to gravity is

1 \(8 \%\)
2 \(3 \%\)
3 \(4 \%\)
4 \(6 \%\)
5 \(5 \%\)
Units and Measurements

139897 The values of two resistors are \(R_{1}=(6 \pm 0.3)\) \(\mathrm{k} \Omega\) and \(R_{2}=(10 \pm 0.2) \mathrm{k} \Omega\). The percentage error in the equivalent resistance when they are connected in parallel is

1 \(5.125 \%\)
2 \(2 \%\)
3 \(3.125 \%\)
4 \(7 \%\)
5 \(10.125 \%\)
Units and Measurements

139898 A physical quantity \(P\) is related to four measurable quantities \(a, b, c\), and \(d\) as follows
\(P=\frac{a^{3} b^{2}}{\sqrt{c} d}\)
The percentage errors of measurement in \(a, b\), c, and \(\mathrm{d}\) are \(1 \%, 3 \%, 4 \%\) and \(2 \%\). The percentage error in the quantity \(p\) is :

1 \(10 \%\)
2 \(13 \%\)
3 \(5 \%\)
4 \(15 \%\)
5 \(17 \%\)
Units and Measurements

139899 A physical quantity \(A\) is related to four observables a, \(b, c\) and \(d\) as follows:
\(A=\frac{a^{2} b^{3}}{c \sqrt{d}}\)
The percentage errors of measurement in \(a, b\), \(\mathrm{c}\) and \(\mathrm{d}\) are \(1 \%, 3 \%, 2 \%\) and \(2 \%\) respectively. What is the percentage error in the quantity \(A\) ?

1 \(12 \%\)
2 \(7 \%\)
3 \(5 \%\)
4 \(16 \%\)
5 \(14 \%\)
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Units and Measurements

139896 The percentage errors in the measurement of length and time period of a simple pendulum are \(1 \%\) and \(2 \%\) respectively. Then the maximum error in the measurement of acceleration due to gravity is

1 \(8 \%\)
2 \(3 \%\)
3 \(4 \%\)
4 \(6 \%\)
5 \(5 \%\)
Units and Measurements

139897 The values of two resistors are \(R_{1}=(6 \pm 0.3)\) \(\mathrm{k} \Omega\) and \(R_{2}=(10 \pm 0.2) \mathrm{k} \Omega\). The percentage error in the equivalent resistance when they are connected in parallel is

1 \(5.125 \%\)
2 \(2 \%\)
3 \(3.125 \%\)
4 \(7 \%\)
5 \(10.125 \%\)
Units and Measurements

139898 A physical quantity \(P\) is related to four measurable quantities \(a, b, c\), and \(d\) as follows
\(P=\frac{a^{3} b^{2}}{\sqrt{c} d}\)
The percentage errors of measurement in \(a, b\), c, and \(\mathrm{d}\) are \(1 \%, 3 \%, 4 \%\) and \(2 \%\). The percentage error in the quantity \(p\) is :

1 \(10 \%\)
2 \(13 \%\)
3 \(5 \%\)
4 \(15 \%\)
5 \(17 \%\)
Units and Measurements

139899 A physical quantity \(A\) is related to four observables a, \(b, c\) and \(d\) as follows:
\(A=\frac{a^{2} b^{3}}{c \sqrt{d}}\)
The percentage errors of measurement in \(a, b\), \(\mathrm{c}\) and \(\mathrm{d}\) are \(1 \%, 3 \%, 2 \%\) and \(2 \%\) respectively. What is the percentage error in the quantity \(A\) ?

1 \(12 \%\)
2 \(7 \%\)
3 \(5 \%\)
4 \(16 \%\)
5 \(14 \%\)
Units and Measurements

139896 The percentage errors in the measurement of length and time period of a simple pendulum are \(1 \%\) and \(2 \%\) respectively. Then the maximum error in the measurement of acceleration due to gravity is

1 \(8 \%\)
2 \(3 \%\)
3 \(4 \%\)
4 \(6 \%\)
5 \(5 \%\)
Units and Measurements

139897 The values of two resistors are \(R_{1}=(6 \pm 0.3)\) \(\mathrm{k} \Omega\) and \(R_{2}=(10 \pm 0.2) \mathrm{k} \Omega\). The percentage error in the equivalent resistance when they are connected in parallel is

1 \(5.125 \%\)
2 \(2 \%\)
3 \(3.125 \%\)
4 \(7 \%\)
5 \(10.125 \%\)
Units and Measurements

139898 A physical quantity \(P\) is related to four measurable quantities \(a, b, c\), and \(d\) as follows
\(P=\frac{a^{3} b^{2}}{\sqrt{c} d}\)
The percentage errors of measurement in \(a, b\), c, and \(\mathrm{d}\) are \(1 \%, 3 \%, 4 \%\) and \(2 \%\). The percentage error in the quantity \(p\) is :

1 \(10 \%\)
2 \(13 \%\)
3 \(5 \%\)
4 \(15 \%\)
5 \(17 \%\)
Units and Measurements

139899 A physical quantity \(A\) is related to four observables a, \(b, c\) and \(d\) as follows:
\(A=\frac{a^{2} b^{3}}{c \sqrt{d}}\)
The percentage errors of measurement in \(a, b\), \(\mathrm{c}\) and \(\mathrm{d}\) are \(1 \%, 3 \%, 2 \%\) and \(2 \%\) respectively. What is the percentage error in the quantity \(A\) ?

1 \(12 \%\)
2 \(7 \%\)
3 \(5 \%\)
4 \(16 \%\)
5 \(14 \%\)