Errors
PHXI02:UNITS AND MEASUREMENTS

367473 Assertion :
If percentage error in measuring radius of a sphere is \(\pm 1 \%\), the error in its volume would be \(\pm 3 \%\).
Reason :
\(\dfrac{\Delta V}{V}=3\left(\dfrac{\Delta r}{r}\right)\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI02:UNITS AND MEASUREMENTS

367474 If two lengths \(a\) and \(b\) are given as: \(a = 25.4cm \pm 0.1cm\) and \(b = 16.5cm \pm 0.4cm\). then find the value of \(a + b\)

1 \(41.9\,CM\)
2 \((41.9 \pm 0.6)\,cm\)
3 \((41.9 \pm 0.2)\,cm\)
4 \((42.4 \pm 0.6)\,cm\)
PHXI02:UNITS AND MEASUREMENTS

367475 The resistance \(R = \frac{V}{I}\) where\(V = (100 \pm 5)V\) and \(I = (10 \pm 0.2)A\). The percentage error in \(R\) is

1 \(5.2\% \)
2 \(4.8\% \)
3 \(7\% \)
4 \(3\% \)
PHXI02:UNITS AND MEASUREMENTS

367476 Let \(x = \left[ {\frac{{{a^2}{b^2}}}{c}} \right]\) be a physical quantity. If the percentage errors in the measurement of physical quantities \(a\), \(b\) and \(c\) are 2, 3 and 4 percent respectively, then percentage error in the measurement of \(x\) is

1 \(7\% \)
2 \(14\% \)
3 \(21\% \)
4 \(28\% \)
PHXI02:UNITS AND MEASUREMENTS

367473 Assertion :
If percentage error in measuring radius of a sphere is \(\pm 1 \%\), the error in its volume would be \(\pm 3 \%\).
Reason :
\(\dfrac{\Delta V}{V}=3\left(\dfrac{\Delta r}{r}\right)\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI02:UNITS AND MEASUREMENTS

367474 If two lengths \(a\) and \(b\) are given as: \(a = 25.4cm \pm 0.1cm\) and \(b = 16.5cm \pm 0.4cm\). then find the value of \(a + b\)

1 \(41.9\,CM\)
2 \((41.9 \pm 0.6)\,cm\)
3 \((41.9 \pm 0.2)\,cm\)
4 \((42.4 \pm 0.6)\,cm\)
PHXI02:UNITS AND MEASUREMENTS

367475 The resistance \(R = \frac{V}{I}\) where\(V = (100 \pm 5)V\) and \(I = (10 \pm 0.2)A\). The percentage error in \(R\) is

1 \(5.2\% \)
2 \(4.8\% \)
3 \(7\% \)
4 \(3\% \)
PHXI02:UNITS AND MEASUREMENTS

367476 Let \(x = \left[ {\frac{{{a^2}{b^2}}}{c}} \right]\) be a physical quantity. If the percentage errors in the measurement of physical quantities \(a\), \(b\) and \(c\) are 2, 3 and 4 percent respectively, then percentage error in the measurement of \(x\) is

1 \(7\% \)
2 \(14\% \)
3 \(21\% \)
4 \(28\% \)
PHXI02:UNITS AND MEASUREMENTS

367473 Assertion :
If percentage error in measuring radius of a sphere is \(\pm 1 \%\), the error in its volume would be \(\pm 3 \%\).
Reason :
\(\dfrac{\Delta V}{V}=3\left(\dfrac{\Delta r}{r}\right)\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI02:UNITS AND MEASUREMENTS

367474 If two lengths \(a\) and \(b\) are given as: \(a = 25.4cm \pm 0.1cm\) and \(b = 16.5cm \pm 0.4cm\). then find the value of \(a + b\)

1 \(41.9\,CM\)
2 \((41.9 \pm 0.6)\,cm\)
3 \((41.9 \pm 0.2)\,cm\)
4 \((42.4 \pm 0.6)\,cm\)
PHXI02:UNITS AND MEASUREMENTS

367475 The resistance \(R = \frac{V}{I}\) where\(V = (100 \pm 5)V\) and \(I = (10 \pm 0.2)A\). The percentage error in \(R\) is

1 \(5.2\% \)
2 \(4.8\% \)
3 \(7\% \)
4 \(3\% \)
PHXI02:UNITS AND MEASUREMENTS

367476 Let \(x = \left[ {\frac{{{a^2}{b^2}}}{c}} \right]\) be a physical quantity. If the percentage errors in the measurement of physical quantities \(a\), \(b\) and \(c\) are 2, 3 and 4 percent respectively, then percentage error in the measurement of \(x\) is

1 \(7\% \)
2 \(14\% \)
3 \(21\% \)
4 \(28\% \)
PHXI02:UNITS AND MEASUREMENTS

367473 Assertion :
If percentage error in measuring radius of a sphere is \(\pm 1 \%\), the error in its volume would be \(\pm 3 \%\).
Reason :
\(\dfrac{\Delta V}{V}=3\left(\dfrac{\Delta r}{r}\right)\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI02:UNITS AND MEASUREMENTS

367474 If two lengths \(a\) and \(b\) are given as: \(a = 25.4cm \pm 0.1cm\) and \(b = 16.5cm \pm 0.4cm\). then find the value of \(a + b\)

1 \(41.9\,CM\)
2 \((41.9 \pm 0.6)\,cm\)
3 \((41.9 \pm 0.2)\,cm\)
4 \((42.4 \pm 0.6)\,cm\)
PHXI02:UNITS AND MEASUREMENTS

367475 The resistance \(R = \frac{V}{I}\) where\(V = (100 \pm 5)V\) and \(I = (10 \pm 0.2)A\). The percentage error in \(R\) is

1 \(5.2\% \)
2 \(4.8\% \)
3 \(7\% \)
4 \(3\% \)
PHXI02:UNITS AND MEASUREMENTS

367476 Let \(x = \left[ {\frac{{{a^2}{b^2}}}{c}} \right]\) be a physical quantity. If the percentage errors in the measurement of physical quantities \(a\), \(b\) and \(c\) are 2, 3 and 4 percent respectively, then percentage error in the measurement of \(x\) is

1 \(7\% \)
2 \(14\% \)
3 \(21\% \)
4 \(28\% \)