The maximum percentage errors in the measurement of mass $(M)$,radius $(R)$,and angular velocity $(\omega)$ of a ring are $2 \%$,$1 \%$,and $1 \%$ respectively. Find the maximum percentage error in the measurement of its moment of inertia $(I = M R^2)$ about its geometric axis. (in $\%$)

$A$ physical quantity $S$ is related to four observables $a, b, c$, and $d$ as $S = \frac{\sqrt{a} b}{c^3 d^4}$. If the percentage errors of measurement in $a, b, c$, and $d$ are $2 \%$, $1 \%$, $1 \%$, and $1 \%$ respectively, then the percentage error in the quantity $S$ is: (in $\%$)

Let $x = \frac{a^2 b^2}{c}$ be a physical quantity. If the percentage errors in the measurement of physical quantities $a, b,$ and $c$ are $2\%, 3\%,$ and $4\%$ respectively,then the percentage error in the measurement of $x$ is: (in $\%$)

$A$ wire has a mass $0.3 \pm 0.003 \, g$,radius $0.5 \pm 0.005 \, mm$ and length $6 \pm 0.06 \, cm$. The maximum percentage error in the measurement of its density is .......... $\%$

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:

The maximum error in the measurement of resistance,current,and time for which current flows in an electrical circuit are $1 \%$,$2 \%$,and $3 \%$ respectively. The maximum percentage error in the calculation of the dissipated heat will be (in $\%$)