The density of a substance is measured as $1.234 imes 10^2$ kg/m$^3$ using instruments with precisions of 2% and 5% for mass and volume respectively. What is the correct representation of the density including error?

If $X = A imes B$ and $\Delta X$ and ∆A and ∆B are maximum absolute errors in X, A and B respectively, then the maximum relative error in X is given by

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 body travels uniformly a distance of $\left( {13.8\; \pm 0.2} \right)\;m$  in a time ($4.0 \pm 0.3)\;$ s . The velocity of the body within error limits is

If there is a positive error of 50% in the measurement of speed of a body, then the error in the measurement of kinetic energy is

The radius of spherical ball is $\left( {10.4 \pm 0.4} \right)cm$. Select the correct alternative

The dimensions of a rectangular block measured with calipers having least count of 0.01 cm are 5 mm $imes$ 10 mm $imes$ 5 mm. The maximum percentage error in the measurement of the volume of the block is

The area of a rectangular garden, whose length is 55.3 m and breadth is 25 m, is to be calculated. Rounding off the value to the correct significant figures, the area is:

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

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is

The density of the material of a cube is measured by measuring its mass and length of its side. If the maximum errors in the measurement of mass and the length are 3% and 2% respectively. The maximum error in the measurement of density is