The mass of the body is $10.000\,g$ and its volume is $10.00\,cm^3$. If the measured values are expressed up to the correct significant figures,the maximum error in the measurement of density is

The initial and final temperatures of water in a container are observed to be $16 \pm 0.6 \ ^\circ C$ and $56 \pm 0.3 \ ^\circ C$. What will be the rise in temperature of the water?

$A$ physical quantity $x$ is related as $x = \frac{\sqrt{a}b^3}{c^4d^2}$. Relative errors in the quantities $a, b, c$ and $d$ are $2\%, 1\%, 3\%$ and $4\%$ respectively. The relative error in $x$ will be (in $\%$):

State the rule for the error in the result due to multiplication and division of two physical quantities.

$A$ physical quantity $X$ is related to four measurable quantities $a, b, c$ and $d$ as follows: $X = a^2b^3c^{\frac{5}{2}}d^{-2}$. The percentage errors in the measurement of $a, b, c$ and $d$ are $1\%$,$2\%$,$3\%$ and $4\%$ respectively. What is the percentage error in quantity $X$? If the value of $X$ calculated on the basis of the above relation is $2.763$,to what value should you round off the result?

$A$ physical quantity $y$ is represented by the formula $y = m^{2} r^{-4} g^{x} l^{-\frac{3}{2}}$. If the percentage errors in $y, m, r, l,$ and $g$ are $18, 1, 0.5, 4,$ and $p$ respectively,then find the value of $x$ and $p$.