$A$ physical quantity $A$ is dependent on four other physical quantities $p, q, r,$ and $s$ as given by the relation $A = \frac{\sqrt{pq}}{r^2s^3}.$ If the percentage errors of measurement in $p, q, r,$ and $s$ are $1\%, 3\%, 0.5\%,$ and $0.33\%$ respectively,then the maximum percentage error in $A$ is .......... $\%$.

The percentage error in the measurement of mass and speed are $3\%$ and $2\%$ respectively. Then,the percentage error in kinetic energy will be .......... $\%$

In an experiment, the coefficient of viscosity (in $mPa \cdot s$) of a liquid was determined as $2.62, 2.68, 2.58, 2.57, 2.54$ and $2.55$. The mean absolute error in the determination of the coefficient of viscosity of the liquid is

The length,breadth,and thickness of a strip are $(10.0 \pm 0.1) \; cm$,$(1.00 \pm 0.01) \; cm$,and $(0.100 \pm 0.001) \; cm$ respectively. The most probable error in its volume will be?

Young's modulus is determined by the equation $Y = 49000 \frac{M}{\ell} \text{ dyne/cm}^2$,where $M$ is the mass and $\ell$ is the extension of the wire used in the experiment. The error in Young's modulus $(Y)$ is estimated by taking data from the $M-\ell$ plot on graph paper. The smallest scale divisions are $5 \text{ g}$ and $0.02 \text{ cm}$ along the load axis and extension axis,respectively. If the values of $M$ and $\ell$ are $500 \text{ g}$ and $2 \text{ cm}$ respectively,then the percentage error of $Y$ is: (in $\%$)

The outer and inner radii of a hollow cylinder are $(4.23 \pm 0.01) \text{ cm}$ and $(3.89 \pm 0.01) \text{ cm}$ respectively. What is the thickness of the wall of the cylinder?