The percentage errors in the measurement of mass and speed are $2\%$ and $3\%$ respectively. What will be the maximum percentage error in the estimation of the kinetic energy obtained by measuring mass and speed?

The mass of the body is $10.000\,g$ and its volume is $10.00\,cm^3$. If the measured values are expressed up to the correct significant figures,the maximum error in the measurement of density is

To find the spring constant $(k)$ of a spring experimentally,a student commits $2 \%$ positive error in the measurement of time and $1 \%$ negative error in the measurement of mass. The percentage error in determining the value of $k$ is (in $\%$)

The mass of an object is measured as $225 \pm 0.05 \, g$. Find the percentage error in this measurement. (in $\%$)

The period of oscillation of a simple pendulum is $T = 2 \pi \sqrt{L / g}$. The measured value of $L$ is $20.0 \; cm$ known to $1 \; mm$ accuracy,and the time for $100$ oscillations of the pendulum is found to be $90 \; s$ using a wrist watch of $1 \; s$ resolution. What is the accuracy in the determination of $g$ in $\%$?

Consider a physical quantity $Z$ expressed as $Z = \frac{A B^{1/2}}{C^2}$. If the relative error in the magnitudes of $A, B,$ and $C$ is $1\%$, then the relative error in $Z$ will be: (in $\%$)