$A$ physical quantity $X$ is given by $X = \frac{2k^3l^2}{m\sqrt{n}}$. The percentage errors in the measurements of $k, l, m$ and $n$ are $1\%, 2\%, 3\%$ and $4\%$ respectively. The value of $X$ is uncertain by .......... $\%$

If the error in the measurement of the surface area of a sphere is $1.2 \%$,then the error in the determination of the volume of the sphere is (in $\%$)

The energy of a system as a function of time $t$ is given as $E(t)=A^2 \exp(-\alpha t)$,where $\alpha=0.2 \ s^{-1}$. The measurement of $A$ has an error of $1.25 \%$. If the error in the measurement of time is $1.50 \%$,the percentage error in the value of $E(t)$ at $t=5 \ s$ is

$A$ current of $(2.5 \pm 0.05) \ A$ flows through a wire and develops a potential difference of $(10 \pm 0.1) \ V$. The resistance of the wire in $\Omega$ is:

Write the types of errors in the measurement of a physical quantity and explain them.

The percentage error in the measurement of mass and velocity are $3 \%$ and $4 \%$ respectively. The percentage error in the measurement of kinetic energy is (in $\%$)