Errors
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI02:UNITS AND MEASUREMENTS

367499 The period of oscillation of a simple pendulum is given by \(T = 2\pi \sqrt {\frac{l}{g}} \) where \(l\) is about 100 \(cm\) and is known to have 1 \(mm\) accuracy. The period is about 2 \(s\). The time of 100 oscillations is measured by a stop watch of least count 0.1 sec. The percentage error in \(g\) is

1 \(0.8\,\% \)
2 \(0.2\,\% \)
3 \(0.1\,\% \)
4 \(1\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367500 The length and breadth of a rectangular sheet are 16.2 \(cm\) and 10.1 \(cm\), respectively. The area of the sheet in appropriate significant figures and error is

1 \(163.62 \pm 2.6\,c{m^2}\)
2 \(164 \pm 3\,c{m^2}\)
3 \(163.62 \pm 3\,c{m^2}\)
4 \(163.6 \pm 2.6\,c{m^2}\)
PHXI02:UNITS AND MEASUREMENTS

367501 If \(X = A \times B,\Delta X,\Delta A\) and \(\Delta B\) are maximum absolute errors in \(X\), \(A\) and \(B\) respectively, then the maximum fractional error in \(X\) is given by

1 \(\Delta X = \Delta A\; - \Delta B\)
2 \(\frac{{\Delta X}}{X} = \frac{{\Delta A}}{A}\; + \frac{{\Delta B}}{B}\)
3 \(\Delta X = \Delta A\; + \Delta B\)
4 \(\frac{{\Delta X}}{X} = \frac{{\Delta A}}{A}\; - \frac{{\Delta B}}{B}\)
PHXI02:UNITS AND MEASUREMENTS

367502 To estimate ‘\(g\)’ \(\left( {{\mathop{\rm from}\nolimits} \;g = 4{\pi ^2}\frac{L}{{{T^2}}}} \right),\) error in measurement of \(L\) is \( \pm 2\% \) and error in measurement of \(T\) is \( \pm 3\% \). The error in estimated ‘\(g\)’ will be

1 \( \pm 3\% \)
2 \( \pm 5\% \)
3 \( \pm 8\% \)
4 \( \pm 6\% \)
PHXI02:UNITS AND MEASUREMENTS

367499 The period of oscillation of a simple pendulum is given by \(T = 2\pi \sqrt {\frac{l}{g}} \) where \(l\) is about 100 \(cm\) and is known to have 1 \(mm\) accuracy. The period is about 2 \(s\). The time of 100 oscillations is measured by a stop watch of least count 0.1 sec. The percentage error in \(g\) is

1 \(0.8\,\% \)
2 \(0.2\,\% \)
3 \(0.1\,\% \)
4 \(1\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367500 The length and breadth of a rectangular sheet are 16.2 \(cm\) and 10.1 \(cm\), respectively. The area of the sheet in appropriate significant figures and error is

1 \(163.62 \pm 2.6\,c{m^2}\)
2 \(164 \pm 3\,c{m^2}\)
3 \(163.62 \pm 3\,c{m^2}\)
4 \(163.6 \pm 2.6\,c{m^2}\)
PHXI02:UNITS AND MEASUREMENTS

367501 If \(X = A \times B,\Delta X,\Delta A\) and \(\Delta B\) are maximum absolute errors in \(X\), \(A\) and \(B\) respectively, then the maximum fractional error in \(X\) is given by

1 \(\Delta X = \Delta A\; - \Delta B\)
2 \(\frac{{\Delta X}}{X} = \frac{{\Delta A}}{A}\; + \frac{{\Delta B}}{B}\)
3 \(\Delta X = \Delta A\; + \Delta B\)
4 \(\frac{{\Delta X}}{X} = \frac{{\Delta A}}{A}\; - \frac{{\Delta B}}{B}\)
PHXI02:UNITS AND MEASUREMENTS

367502 To estimate ‘\(g\)’ \(\left( {{\mathop{\rm from}\nolimits} \;g = 4{\pi ^2}\frac{L}{{{T^2}}}} \right),\) error in measurement of \(L\) is \( \pm 2\% \) and error in measurement of \(T\) is \( \pm 3\% \). The error in estimated ‘\(g\)’ will be

1 \( \pm 3\% \)
2 \( \pm 5\% \)
3 \( \pm 8\% \)
4 \( \pm 6\% \)
PHXI02:UNITS AND MEASUREMENTS

367499 The period of oscillation of a simple pendulum is given by \(T = 2\pi \sqrt {\frac{l}{g}} \) where \(l\) is about 100 \(cm\) and is known to have 1 \(mm\) accuracy. The period is about 2 \(s\). The time of 100 oscillations is measured by a stop watch of least count 0.1 sec. The percentage error in \(g\) is

1 \(0.8\,\% \)
2 \(0.2\,\% \)
3 \(0.1\,\% \)
4 \(1\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367500 The length and breadth of a rectangular sheet are 16.2 \(cm\) and 10.1 \(cm\), respectively. The area of the sheet in appropriate significant figures and error is

1 \(163.62 \pm 2.6\,c{m^2}\)
2 \(164 \pm 3\,c{m^2}\)
3 \(163.62 \pm 3\,c{m^2}\)
4 \(163.6 \pm 2.6\,c{m^2}\)
PHXI02:UNITS AND MEASUREMENTS

367501 If \(X = A \times B,\Delta X,\Delta A\) and \(\Delta B\) are maximum absolute errors in \(X\), \(A\) and \(B\) respectively, then the maximum fractional error in \(X\) is given by

1 \(\Delta X = \Delta A\; - \Delta B\)
2 \(\frac{{\Delta X}}{X} = \frac{{\Delta A}}{A}\; + \frac{{\Delta B}}{B}\)
3 \(\Delta X = \Delta A\; + \Delta B\)
4 \(\frac{{\Delta X}}{X} = \frac{{\Delta A}}{A}\; - \frac{{\Delta B}}{B}\)
PHXI02:UNITS AND MEASUREMENTS

367502 To estimate ‘\(g\)’ \(\left( {{\mathop{\rm from}\nolimits} \;g = 4{\pi ^2}\frac{L}{{{T^2}}}} \right),\) error in measurement of \(L\) is \( \pm 2\% \) and error in measurement of \(T\) is \( \pm 3\% \). The error in estimated ‘\(g\)’ will be

1 \( \pm 3\% \)
2 \( \pm 5\% \)
3 \( \pm 8\% \)
4 \( \pm 6\% \)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI02:UNITS AND MEASUREMENTS

367499 The period of oscillation of a simple pendulum is given by \(T = 2\pi \sqrt {\frac{l}{g}} \) where \(l\) is about 100 \(cm\) and is known to have 1 \(mm\) accuracy. The period is about 2 \(s\). The time of 100 oscillations is measured by a stop watch of least count 0.1 sec. The percentage error in \(g\) is

1 \(0.8\,\% \)
2 \(0.2\,\% \)
3 \(0.1\,\% \)
4 \(1\,\% \)
PHXI02:UNITS AND MEASUREMENTS

367500 The length and breadth of a rectangular sheet are 16.2 \(cm\) and 10.1 \(cm\), respectively. The area of the sheet in appropriate significant figures and error is

1 \(163.62 \pm 2.6\,c{m^2}\)
2 \(164 \pm 3\,c{m^2}\)
3 \(163.62 \pm 3\,c{m^2}\)
4 \(163.6 \pm 2.6\,c{m^2}\)
PHXI02:UNITS AND MEASUREMENTS

367501 If \(X = A \times B,\Delta X,\Delta A\) and \(\Delta B\) are maximum absolute errors in \(X\), \(A\) and \(B\) respectively, then the maximum fractional error in \(X\) is given by

1 \(\Delta X = \Delta A\; - \Delta B\)
2 \(\frac{{\Delta X}}{X} = \frac{{\Delta A}}{A}\; + \frac{{\Delta B}}{B}\)
3 \(\Delta X = \Delta A\; + \Delta B\)
4 \(\frac{{\Delta X}}{X} = \frac{{\Delta A}}{A}\; - \frac{{\Delta B}}{B}\)
PHXI02:UNITS AND MEASUREMENTS

367502 To estimate ‘\(g\)’ \(\left( {{\mathop{\rm from}\nolimits} \;g = 4{\pi ^2}\frac{L}{{{T^2}}}} \right),\) error in measurement of \(L\) is \( \pm 2\% \) and error in measurement of \(T\) is \( \pm 3\% \). The error in estimated ‘\(g\)’ will be

1 \( \pm 3\% \)
2 \( \pm 5\% \)
3 \( \pm 8\% \)
4 \( \pm 6\% \)