Write the rule for the error produced in the result due to the addition and subtraction of physical quantities.

The current in a diode is given by the equation $I = (e^{1000V/T} - 1)$,where $V$ is the applied voltage in volts and $T$ is the absolute temperature in kelvin. $A$ student measures the current as $11 \text{ mA}$ at $300 \text{ K}$. If the error in measuring voltage is $\pm 0.01 \text{ V}$,the error in the value of current in $\text{mA}$ is:

If the maximum and minimum temperatures at a place on a day are measured as $44^{\circ} C \pm 0.5^{\circ} C$ and $22^{\circ} C \pm 0.5^{\circ} C$ respectively,then the temperature difference is

The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the density of the sphere is $\left(\frac{x}{100}\right) \%$. If the relative errors in measuring the mass and the diameter are $6.0 \%$ and $1.5 \%$ respectively,the value of $x$ is

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 $\%$)

Error in the measurement of radius of the sphere is $2 \%$. The error in the calculated value of its volume is (in $\%$)