If $Z = \frac{A^{2} B^{3}}{C^{4}}$,then the relative error in $Z$ will be

The resistance of a wire is determined by measuring the current flowing through it and the voltage difference across its ends. If the percentage error in the measurement of current and voltage difference is $3\%$ each,what will be the percentage error in the resistance of the wire?

The error in the measurement of length and mass is $3 \%$ and $4 \%$ respectively. The error in the measurement of density will be (in $\%$)

In an experiment to find acceleration due to gravity $(g)$ using a simple pendulum,the time period of $0.5 \ s$ is measured from the time of $100$ oscillations with a watch of $1 \ s$ resolution. If the measured value of length is $10 \ cm$ known to $1 \ mm$ accuracy,the accuracy in the determination of $g$ is found to be $x \%$. The value of $x$ is:

In a simple pendulum experiment for determination of acceleration due to gravity $(g)$, time taken for $20$ oscillations is measured by using a watch of $1\,s$ least count. The mean value of time taken comes out to be $30\,s$. The length of the pendulum is measured by using a meter scale of least count $1\,mm$ and the value obtained is $55.0\,cm$. The percentage error in the determination of $g$ is close to ........... $\%$

Error in the measurement of radius of a sphere is $0.2\%$. The error in the calculated value of its volume is ......... $\%$