$A$ scientist performs an experiment in order to measure a certain physical quantity and takes $100$ observations. He repeats the same experiment and takes $400$ observations. By doing so,

Explain the statement: "The accuracy of a measurement cannot be determined by absolute error,but only by percentage error."

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

$A$ physical quantity $y$ is represented by the formula $y = m^{2} r^{-4} g^{x} l^{-\frac{3}{2}}$. If the percentage errors in $y, m, r, l,$ and $g$ are $18, 1, 0.5, 4,$ and $p$ respectively,then find the value of $x$ and $p$.

The density of a cube is measured by measuring its mass and the length of its sides. If the maximum error in the measurement of mass and length are $3\%$ and $2\%$ respectively,then find the maximum error in the measurement of the density of the cube.

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: