Errors
PHXI02:UNITS AND MEASUREMENTS

367529 A physical quantity \(A\) is related to four observable \(a,b,c\) and \(d\) as \(A = \frac{{{a^2}{b^2}}}{{c\sqrt d }}.\) The percentage errors of measurement in \(a,b,c\) and \(d\) are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity \(A\)?

1 \(5\,\% \)
2 \(14\,\% \;\)
3 \(7\,\% \;\)
4 \(12\,\% \;\)
PHXI02:UNITS AND MEASUREMENTS

367530 A physical quantity \(Q\) is found to depend on observables \(x\), \(y\) and \(z\), obeying relation \(Q\; = \;\frac{{{x^3}{y^2}}}{z}\). The percentage error in the measurements of \(x\), \(y\), and \(z\) are 1%, 2% and 4% respectively. What is percentage error in the quantity \(Q\)?

1 \(1\% \)
2 \(3\% \)
3 \(11\% \)
4 \(4\% \)
PHXI02:UNITS AND MEASUREMENTS

367531 A Force \({F}\) is applied on a square plate of side \({L}\). If the percentage error in the determination of \({L}\) is \(2\;\% \) and that in \({F}\) is \(4\;\% \), what is the permissible error in pressure

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

367532 A spherometer has 20 threads per cm . Its circular scale has 100 divisions. The least count of the sphere is

1 \({5 \mu {m}}\)
2 \({50 \mu {m}}\)
3 \({0.5 \mu {m}}\)
4 \({0.05 \mu {m}}\)
PHXI02:UNITS AND MEASUREMENTS

367529 A physical quantity \(A\) is related to four observable \(a,b,c\) and \(d\) as \(A = \frac{{{a^2}{b^2}}}{{c\sqrt d }}.\) The percentage errors of measurement in \(a,b,c\) and \(d\) are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity \(A\)?

1 \(5\,\% \)
2 \(14\,\% \;\)
3 \(7\,\% \;\)
4 \(12\,\% \;\)
PHXI02:UNITS AND MEASUREMENTS

367530 A physical quantity \(Q\) is found to depend on observables \(x\), \(y\) and \(z\), obeying relation \(Q\; = \;\frac{{{x^3}{y^2}}}{z}\). The percentage error in the measurements of \(x\), \(y\), and \(z\) are 1%, 2% and 4% respectively. What is percentage error in the quantity \(Q\)?

1 \(1\% \)
2 \(3\% \)
3 \(11\% \)
4 \(4\% \)
PHXI02:UNITS AND MEASUREMENTS

367531 A Force \({F}\) is applied on a square plate of side \({L}\). If the percentage error in the determination of \({L}\) is \(2\;\% \) and that in \({F}\) is \(4\;\% \), what is the permissible error in pressure

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

367532 A spherometer has 20 threads per cm . Its circular scale has 100 divisions. The least count of the sphere is

1 \({5 \mu {m}}\)
2 \({50 \mu {m}}\)
3 \({0.5 \mu {m}}\)
4 \({0.05 \mu {m}}\)
PHXI02:UNITS AND MEASUREMENTS

367529 A physical quantity \(A\) is related to four observable \(a,b,c\) and \(d\) as \(A = \frac{{{a^2}{b^2}}}{{c\sqrt d }}.\) The percentage errors of measurement in \(a,b,c\) and \(d\) are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity \(A\)?

1 \(5\,\% \)
2 \(14\,\% \;\)
3 \(7\,\% \;\)
4 \(12\,\% \;\)
PHXI02:UNITS AND MEASUREMENTS

367530 A physical quantity \(Q\) is found to depend on observables \(x\), \(y\) and \(z\), obeying relation \(Q\; = \;\frac{{{x^3}{y^2}}}{z}\). The percentage error in the measurements of \(x\), \(y\), and \(z\) are 1%, 2% and 4% respectively. What is percentage error in the quantity \(Q\)?

1 \(1\% \)
2 \(3\% \)
3 \(11\% \)
4 \(4\% \)
PHXI02:UNITS AND MEASUREMENTS

367531 A Force \({F}\) is applied on a square plate of side \({L}\). If the percentage error in the determination of \({L}\) is \(2\;\% \) and that in \({F}\) is \(4\;\% \), what is the permissible error in pressure

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

367532 A spherometer has 20 threads per cm . Its circular scale has 100 divisions. The least count of the sphere is

1 \({5 \mu {m}}\)
2 \({50 \mu {m}}\)
3 \({0.5 \mu {m}}\)
4 \({0.05 \mu {m}}\)
PHXI02:UNITS AND MEASUREMENTS

367529 A physical quantity \(A\) is related to four observable \(a,b,c\) and \(d\) as \(A = \frac{{{a^2}{b^2}}}{{c\sqrt d }}.\) The percentage errors of measurement in \(a,b,c\) and \(d\) are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity \(A\)?

1 \(5\,\% \)
2 \(14\,\% \;\)
3 \(7\,\% \;\)
4 \(12\,\% \;\)
PHXI02:UNITS AND MEASUREMENTS

367530 A physical quantity \(Q\) is found to depend on observables \(x\), \(y\) and \(z\), obeying relation \(Q\; = \;\frac{{{x^3}{y^2}}}{z}\). The percentage error in the measurements of \(x\), \(y\), and \(z\) are 1%, 2% and 4% respectively. What is percentage error in the quantity \(Q\)?

1 \(1\% \)
2 \(3\% \)
3 \(11\% \)
4 \(4\% \)
PHXI02:UNITS AND MEASUREMENTS

367531 A Force \({F}\) is applied on a square plate of side \({L}\). If the percentage error in the determination of \({L}\) is \(2\;\% \) and that in \({F}\) is \(4\;\% \), what is the permissible error in pressure

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

367532 A spherometer has 20 threads per cm . Its circular scale has 100 divisions. The least count of the sphere is

1 \({5 \mu {m}}\)
2 \({50 \mu {m}}\)
3 \({0.5 \mu {m}}\)
4 \({0.05 \mu {m}}\)