Errors
PHXI02:UNITS AND MEASUREMENTS

367533 The relative error in the determination of the surface area of a sphere is \(\alpha\). Then the relative error in the determination of its volume is:

1 \(\dfrac{3}{2} \alpha\)
2 \(\dfrac{2}{3} \alpha\)
3 \(\alpha\)
4 \(\dfrac{5}{2} \alpha\)
PHXI02:UNITS AND MEASUREMENTS

367534 In an experiment to measure, the height of a bridge by dropping stone into water underneath. If the error in measurement of time is \(0.2 s\) at the end of \(4 s\), then the error in estimation of height of bridge will be (neglect the water resistance, i.e. thrust)
supporting img

1 \( \pm 19.68\;m\)
2 \( \pm 17.22\;m\)
3 \( \pm 7.84\;m\)
4 \( \pm 12.22\;m\)
PHXI02:UNITS AND MEASUREMENTS

367535 What is the relation between pitch and least count of a screw gauge?

1 \({\mathop{\rm Pitch}\nolimits} = \frac{{L.C}}{{100}}\)
2 \(L.C = \frac{{Pitch}}{{100}}\)
3 \({\mathop{\rm Pitch}\nolimits} = L.C \times 200\)
4 \(L.C\) \({\rm{ = }}\frac{{{\rm{Pitch}}}}{{{\rm{number}}\,\,{\rm{of}}\,\,{\rm{divisions}}\,\,{\rm{on}}\,\,{\rm{circular}}\,\,{\rm{scale}}}}\)
PHXI02:UNITS AND MEASUREMENTS

367536 The screw gauge has least count of \(0.005\,mm\) and its circular scale is divided into 100 equal divisions. What is the distance between two consecutive threads of its screw?

1 \(0.5\,mm\)
2 \(0.05\,mm\)
3 \(0.01\,mm\)
4 \(0.1\,mm\)
PHXI02:UNITS AND MEASUREMENTS

367533 The relative error in the determination of the surface area of a sphere is \(\alpha\). Then the relative error in the determination of its volume is:

1 \(\dfrac{3}{2} \alpha\)
2 \(\dfrac{2}{3} \alpha\)
3 \(\alpha\)
4 \(\dfrac{5}{2} \alpha\)
PHXI02:UNITS AND MEASUREMENTS

367534 In an experiment to measure, the height of a bridge by dropping stone into water underneath. If the error in measurement of time is \(0.2 s\) at the end of \(4 s\), then the error in estimation of height of bridge will be (neglect the water resistance, i.e. thrust)
supporting img

1 \( \pm 19.68\;m\)
2 \( \pm 17.22\;m\)
3 \( \pm 7.84\;m\)
4 \( \pm 12.22\;m\)
PHXI02:UNITS AND MEASUREMENTS

367535 What is the relation between pitch and least count of a screw gauge?

1 \({\mathop{\rm Pitch}\nolimits} = \frac{{L.C}}{{100}}\)
2 \(L.C = \frac{{Pitch}}{{100}}\)
3 \({\mathop{\rm Pitch}\nolimits} = L.C \times 200\)
4 \(L.C\) \({\rm{ = }}\frac{{{\rm{Pitch}}}}{{{\rm{number}}\,\,{\rm{of}}\,\,{\rm{divisions}}\,\,{\rm{on}}\,\,{\rm{circular}}\,\,{\rm{scale}}}}\)
PHXI02:UNITS AND MEASUREMENTS

367536 The screw gauge has least count of \(0.005\,mm\) and its circular scale is divided into 100 equal divisions. What is the distance between two consecutive threads of its screw?

1 \(0.5\,mm\)
2 \(0.05\,mm\)
3 \(0.01\,mm\)
4 \(0.1\,mm\)
PHXI02:UNITS AND MEASUREMENTS

367533 The relative error in the determination of the surface area of a sphere is \(\alpha\). Then the relative error in the determination of its volume is:

1 \(\dfrac{3}{2} \alpha\)
2 \(\dfrac{2}{3} \alpha\)
3 \(\alpha\)
4 \(\dfrac{5}{2} \alpha\)
PHXI02:UNITS AND MEASUREMENTS

367534 In an experiment to measure, the height of a bridge by dropping stone into water underneath. If the error in measurement of time is \(0.2 s\) at the end of \(4 s\), then the error in estimation of height of bridge will be (neglect the water resistance, i.e. thrust)
supporting img

1 \( \pm 19.68\;m\)
2 \( \pm 17.22\;m\)
3 \( \pm 7.84\;m\)
4 \( \pm 12.22\;m\)
PHXI02:UNITS AND MEASUREMENTS

367535 What is the relation between pitch and least count of a screw gauge?

1 \({\mathop{\rm Pitch}\nolimits} = \frac{{L.C}}{{100}}\)
2 \(L.C = \frac{{Pitch}}{{100}}\)
3 \({\mathop{\rm Pitch}\nolimits} = L.C \times 200\)
4 \(L.C\) \({\rm{ = }}\frac{{{\rm{Pitch}}}}{{{\rm{number}}\,\,{\rm{of}}\,\,{\rm{divisions}}\,\,{\rm{on}}\,\,{\rm{circular}}\,\,{\rm{scale}}}}\)
PHXI02:UNITS AND MEASUREMENTS

367536 The screw gauge has least count of \(0.005\,mm\) and its circular scale is divided into 100 equal divisions. What is the distance between two consecutive threads of its screw?

1 \(0.5\,mm\)
2 \(0.05\,mm\)
3 \(0.01\,mm\)
4 \(0.1\,mm\)
PHXI02:UNITS AND MEASUREMENTS

367533 The relative error in the determination of the surface area of a sphere is \(\alpha\). Then the relative error in the determination of its volume is:

1 \(\dfrac{3}{2} \alpha\)
2 \(\dfrac{2}{3} \alpha\)
3 \(\alpha\)
4 \(\dfrac{5}{2} \alpha\)
PHXI02:UNITS AND MEASUREMENTS

367534 In an experiment to measure, the height of a bridge by dropping stone into water underneath. If the error in measurement of time is \(0.2 s\) at the end of \(4 s\), then the error in estimation of height of bridge will be (neglect the water resistance, i.e. thrust)
supporting img

1 \( \pm 19.68\;m\)
2 \( \pm 17.22\;m\)
3 \( \pm 7.84\;m\)
4 \( \pm 12.22\;m\)
PHXI02:UNITS AND MEASUREMENTS

367535 What is the relation between pitch and least count of a screw gauge?

1 \({\mathop{\rm Pitch}\nolimits} = \frac{{L.C}}{{100}}\)
2 \(L.C = \frac{{Pitch}}{{100}}\)
3 \({\mathop{\rm Pitch}\nolimits} = L.C \times 200\)
4 \(L.C\) \({\rm{ = }}\frac{{{\rm{Pitch}}}}{{{\rm{number}}\,\,{\rm{of}}\,\,{\rm{divisions}}\,\,{\rm{on}}\,\,{\rm{circular}}\,\,{\rm{scale}}}}\)
PHXI02:UNITS AND MEASUREMENTS

367536 The screw gauge has least count of \(0.005\,mm\) and its circular scale is divided into 100 equal divisions. What is the distance between two consecutive threads of its screw?

1 \(0.5\,mm\)
2 \(0.05\,mm\)
3 \(0.01\,mm\)
4 \(0.1\,mm\)