The density of a substance is measured as $3.42 imes 10^{-2}$ kg/m$^3$. How many significant figures are in this measurement?

If the radius of the sphere is $\left( {5.3 \pm 0.1} \right)cm.$ Then percentage error in its volume will be

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively 4% and 2%, the maximum error in the measurement of pressure is

The number of significant figures in all the given numbers 25.12, 2009, 4.156 and $1.217 imes {10^{ - 4}}$ is

If $f = {x^2},$ then the relative error in $f$ is

A thin copper wire of length $l$ metre increases in length by 2% when heated through ${10^{\rm{o}}}C.$. What is the percentage increase in area when a square copper sheet of length l metre is heated through ${10^{\rm{o}}}C.$

A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation $a = {b^\alpha }{c^\beta }/{d^\gamma }{e^\delta }$. If the maximum errors in the measurement of b, c, d and e are ${b_1}\% ,{c_1}\% ,{d_1}\% \;\,and\,{e_1}\%$, then the maximum error in the value of a determined by the experiment is

A physical quantity is given by $X = {M^a}{L^b}{T^c}$. The percentage error in measurement of M,L and T are $\alpha ,\;\beta$ and $\gamma$ respectively. The maximum percentage error in the quantity X is

The sides of a rectangle are 6.01 m and 12m. taking the significant figures into account, the area of the rectangle is

If the length of rod A is $\left( {3.25\; \pm 0.01} \right)\;{\rm{cm}}$ and that of B is $\left( {4.19\; \pm 0.01} \right){\rm{\;cm}},$, then the rod B is longer than rod A by

A physical quantity is given by $X = {M^a}{L^b}{T^c}$. The percentage error in measurement of M,L and T are $\alpha ,\;\beta$ and $\gamma$ respectively. The maximum percentage error in the quantity X is