Errors
PHXI02:UNITS AND MEASUREMENTS

367516 To find the spring constant \((k)\) of a spring experimentally, a student commits \(2 \%\) positive error in the measurement of time and \(1 \%\) negative error in measurement of mass. The percentage error in determining value of \(k\) is

1 \(4 \%\)
2 \(1 \%\)
3 \(3 \%\)
4 \(5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367517 The period of oscillation of a simple pendulum is \(T = 2\pi \sqrt {\frac{L}{g}} .\) Measured value of \(L\) is \(20.0\;cm\) known to \(1\;mm\) accuracy and time for 100 oscillations of the pendulum is found to be \(80\;s\) using a wrist watch of \(1\;s\) accuracy. What will be the accuracy in the determination of \(g\) ?

1 \(1\,\% \)
2 \(4\,\% \)
3 \(3\,\% \)
4 \(6\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367518 The percentage errors in quantities \(P, Q, R\) and S are \(0.5 \%, 1 \%, 3 \%\) and \(1.5 \%\) respectively in the measurement of a physical quantity \(A=\dfrac{P^{3} Q^{2}}{\sqrt{R} S}\). The maximum percentage error in the value of \(A\) will be:

1 \(6.5 \%\)
2 \(7.5 \%\)
3 \(6.0 \%\)
4 \(8.5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367519 If the percentage errors in measuring the length and the diameter of a wire are \(0.1 \%\) each. The percentage error in measuring its resistance will be

1 \(0.3 \%\)
2 \(0.2 \%\)
3 \(0.1 \%\)
4 \(0.144 \%\)
PHXI02:UNITS AND MEASUREMENTS

367516 To find the spring constant \((k)\) of a spring experimentally, a student commits \(2 \%\) positive error in the measurement of time and \(1 \%\) negative error in measurement of mass. The percentage error in determining value of \(k\) is

1 \(4 \%\)
2 \(1 \%\)
3 \(3 \%\)
4 \(5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367517 The period of oscillation of a simple pendulum is \(T = 2\pi \sqrt {\frac{L}{g}} .\) Measured value of \(L\) is \(20.0\;cm\) known to \(1\;mm\) accuracy and time for 100 oscillations of the pendulum is found to be \(80\;s\) using a wrist watch of \(1\;s\) accuracy. What will be the accuracy in the determination of \(g\) ?

1 \(1\,\% \)
2 \(4\,\% \)
3 \(3\,\% \)
4 \(6\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367518 The percentage errors in quantities \(P, Q, R\) and S are \(0.5 \%, 1 \%, 3 \%\) and \(1.5 \%\) respectively in the measurement of a physical quantity \(A=\dfrac{P^{3} Q^{2}}{\sqrt{R} S}\). The maximum percentage error in the value of \(A\) will be:

1 \(6.5 \%\)
2 \(7.5 \%\)
3 \(6.0 \%\)
4 \(8.5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367519 If the percentage errors in measuring the length and the diameter of a wire are \(0.1 \%\) each. The percentage error in measuring its resistance will be

1 \(0.3 \%\)
2 \(0.2 \%\)
3 \(0.1 \%\)
4 \(0.144 \%\)
PHXI02:UNITS AND MEASUREMENTS

367516 To find the spring constant \((k)\) of a spring experimentally, a student commits \(2 \%\) positive error in the measurement of time and \(1 \%\) negative error in measurement of mass. The percentage error in determining value of \(k\) is

1 \(4 \%\)
2 \(1 \%\)
3 \(3 \%\)
4 \(5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367517 The period of oscillation of a simple pendulum is \(T = 2\pi \sqrt {\frac{L}{g}} .\) Measured value of \(L\) is \(20.0\;cm\) known to \(1\;mm\) accuracy and time for 100 oscillations of the pendulum is found to be \(80\;s\) using a wrist watch of \(1\;s\) accuracy. What will be the accuracy in the determination of \(g\) ?

1 \(1\,\% \)
2 \(4\,\% \)
3 \(3\,\% \)
4 \(6\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367518 The percentage errors in quantities \(P, Q, R\) and S are \(0.5 \%, 1 \%, 3 \%\) and \(1.5 \%\) respectively in the measurement of a physical quantity \(A=\dfrac{P^{3} Q^{2}}{\sqrt{R} S}\). The maximum percentage error in the value of \(A\) will be:

1 \(6.5 \%\)
2 \(7.5 \%\)
3 \(6.0 \%\)
4 \(8.5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367519 If the percentage errors in measuring the length and the diameter of a wire are \(0.1 \%\) each. The percentage error in measuring its resistance will be

1 \(0.3 \%\)
2 \(0.2 \%\)
3 \(0.1 \%\)
4 \(0.144 \%\)
PHXI02:UNITS AND MEASUREMENTS

367516 To find the spring constant \((k)\) of a spring experimentally, a student commits \(2 \%\) positive error in the measurement of time and \(1 \%\) negative error in measurement of mass. The percentage error in determining value of \(k\) is

1 \(4 \%\)
2 \(1 \%\)
3 \(3 \%\)
4 \(5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367517 The period of oscillation of a simple pendulum is \(T = 2\pi \sqrt {\frac{L}{g}} .\) Measured value of \(L\) is \(20.0\;cm\) known to \(1\;mm\) accuracy and time for 100 oscillations of the pendulum is found to be \(80\;s\) using a wrist watch of \(1\;s\) accuracy. What will be the accuracy in the determination of \(g\) ?

1 \(1\,\% \)
2 \(4\,\% \)
3 \(3\,\% \)
4 \(6\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367518 The percentage errors in quantities \(P, Q, R\) and S are \(0.5 \%, 1 \%, 3 \%\) and \(1.5 \%\) respectively in the measurement of a physical quantity \(A=\dfrac{P^{3} Q^{2}}{\sqrt{R} S}\). The maximum percentage error in the value of \(A\) will be:

1 \(6.5 \%\)
2 \(7.5 \%\)
3 \(6.0 \%\)
4 \(8.5 \%\)
PHXI02:UNITS AND MEASUREMENTS

367519 If the percentage errors in measuring the length and the diameter of a wire are \(0.1 \%\) each. The percentage error in measuring its resistance will be

1 \(0.3 \%\)
2 \(0.2 \%\)
3 \(0.1 \%\)
4 \(0.144 \%\)