If $x = a -b,$ then percentage error in $x$ will be
$\left( {\frac{{\Delta a}}{a} + \frac{{\Delta b}}{b}} \right) \times 100\,\% $
$\left( {\frac{{\Delta a}}{a} - \frac{{\Delta b}}{b}} \right) \times 100\,\% $
$\left( {\frac{{\Delta a}}{a-b} + \frac{{\Delta b}}{a-b}} \right) \times 100\,\% $
$\left( {\frac{{\Delta a}}{a-b} - \frac{{\Delta b}}{a-b}} \right) \times 100\,\% $
A torque meter is calibrated to reference standards of mass, length and time each with $5 \%$ accuracy. After calibration, the measured torque with this torque meter will have net accuracy of$............\%$
If there is an error of $1\%$ in calculation of mass of disc and $1.5\%$ error in radius, then $\%$ error in moment of inertia about an axis tangent to disc is .......... $\%$
$Assertion$ : The error in the measurement of radius of the sphere is $0.3\%$. The permissible error in its surface area is $0.6\%$
$Reason$ : The permissible error is calculated by the formula $\frac{{\Delta A}}{A} = \frac{{4\Delta r}}{r}$
In the density measurement of a cube, the mass and edge length are measured as $(10.00 \pm 0.10)\,\,kg\,$ and $(0.10 \pm 0.01)\,\,m\,$ respectively. The error in the measurement of density is
A public park, in the form of a square, has an area of $(100 \pm 0.2)\; m ^2$. The side of park is ............ $m$