03. Errors
Units and Measurements

139865 On heating, the length of the side of cube changes by \(2 \%\). The volume of the cube changes by

1 \(1 \%\)
2 \(6 \%\)
3 \(0.5 \%\)
4 \(3 \%\)
Units and Measurements

139860 Assertion: In the measurement of physical quantities direct and indirect methods are used.
Reason: The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Units and Measurements

139866 In an experiment of simple pendulum, the errors in the measurement of length of the pendulum \((L)\) and time period \((T)\) are \(3 \%\) and \(2 \%\) respectively. The maximum percentage error in the value of \(\frac{L}{T^{2}}\) is

1 \(5 \%\)
2 \(7 \%\)
3 \(8 \%\)
4 \(1 \%\)
Units and Measurements

139867 In the measurement of a physical quantity \(X=\) \(\frac{A^{2} B}{C^{1 / 3} D^{3}}\). The percentage errors introduced in the measurements of the quantities \(A, B, C\) and \(D\) are \(2 \%, 2 \%, 4 \%\) and \(5 \%\) respectively. Then, the minimum amount of percentage error in the measurements of \(X\) is contributed by

1 \(\mathrm{A}\)
2 B
3 \(\mathrm{C}\)
4 \(\mathrm{D}\)
Units and Measurements

139865 On heating, the length of the side of cube changes by \(2 \%\). The volume of the cube changes by

1 \(1 \%\)
2 \(6 \%\)
3 \(0.5 \%\)
4 \(3 \%\)
Units and Measurements

139860 Assertion: In the measurement of physical quantities direct and indirect methods are used.
Reason: The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Units and Measurements

139866 In an experiment of simple pendulum, the errors in the measurement of length of the pendulum \((L)\) and time period \((T)\) are \(3 \%\) and \(2 \%\) respectively. The maximum percentage error in the value of \(\frac{L}{T^{2}}\) is

1 \(5 \%\)
2 \(7 \%\)
3 \(8 \%\)
4 \(1 \%\)
Units and Measurements

139867 In the measurement of a physical quantity \(X=\) \(\frac{A^{2} B}{C^{1 / 3} D^{3}}\). The percentage errors introduced in the measurements of the quantities \(A, B, C\) and \(D\) are \(2 \%, 2 \%, 4 \%\) and \(5 \%\) respectively. Then, the minimum amount of percentage error in the measurements of \(X\) is contributed by

1 \(\mathrm{A}\)
2 B
3 \(\mathrm{C}\)
4 \(\mathrm{D}\)
Units and Measurements

139865 On heating, the length of the side of cube changes by \(2 \%\). The volume of the cube changes by

1 \(1 \%\)
2 \(6 \%\)
3 \(0.5 \%\)
4 \(3 \%\)
Units and Measurements

139860 Assertion: In the measurement of physical quantities direct and indirect methods are used.
Reason: The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Units and Measurements

139866 In an experiment of simple pendulum, the errors in the measurement of length of the pendulum \((L)\) and time period \((T)\) are \(3 \%\) and \(2 \%\) respectively. The maximum percentage error in the value of \(\frac{L}{T^{2}}\) is

1 \(5 \%\)
2 \(7 \%\)
3 \(8 \%\)
4 \(1 \%\)
Units and Measurements

139867 In the measurement of a physical quantity \(X=\) \(\frac{A^{2} B}{C^{1 / 3} D^{3}}\). The percentage errors introduced in the measurements of the quantities \(A, B, C\) and \(D\) are \(2 \%, 2 \%, 4 \%\) and \(5 \%\) respectively. Then, the minimum amount of percentage error in the measurements of \(X\) is contributed by

1 \(\mathrm{A}\)
2 B
3 \(\mathrm{C}\)
4 \(\mathrm{D}\)
Units and Measurements

139865 On heating, the length of the side of cube changes by \(2 \%\). The volume of the cube changes by

1 \(1 \%\)
2 \(6 \%\)
3 \(0.5 \%\)
4 \(3 \%\)
Units and Measurements

139860 Assertion: In the measurement of physical quantities direct and indirect methods are used.
Reason: The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Units and Measurements

139866 In an experiment of simple pendulum, the errors in the measurement of length of the pendulum \((L)\) and time period \((T)\) are \(3 \%\) and \(2 \%\) respectively. The maximum percentage error in the value of \(\frac{L}{T^{2}}\) is

1 \(5 \%\)
2 \(7 \%\)
3 \(8 \%\)
4 \(1 \%\)
Units and Measurements

139867 In the measurement of a physical quantity \(X=\) \(\frac{A^{2} B}{C^{1 / 3} D^{3}}\). The percentage errors introduced in the measurements of the quantities \(A, B, C\) and \(D\) are \(2 \%, 2 \%, 4 \%\) and \(5 \%\) respectively. Then, the minimum amount of percentage error in the measurements of \(X\) is contributed by

1 \(\mathrm{A}\)
2 B
3 \(\mathrm{C}\)
4 \(\mathrm{D}\)