In a simple pendulum experiment,the maximum percentage error in the measurement of length is $2\%$ and that in acceleration due to gravity $g$ is $4\%$. Then the maximum percentage error in determination of the time-period is

Error in volume of a sphere is $6\%$. Error in its radius will be .......... $\%$

The acceleration due to gravity is measured on the surface of the Earth by using a simple pendulum. If $\alpha$ and $\beta$ are relative errors in the measurement of length and time period respectively,then the percentage error in the measurement of acceleration due to gravity is:

Resistance of a rod is calculated by measuring its length with the help of a meter scale of least count $1 \ mm$. Its radius is measured with the help of a screw gauge having $50$ divisions on the circular scale and a pitch of $1 \ mm$. Resistivity of the material is exact. The length of the wire is found to be $20 \ cm$ and the diameter of the wire is $4 \ mm$. Find the percentage error in the calculation of resistance.

The mass of an empty beaker is $(10.1 \pm 0.1) \, g$. When it is completely filled with a liquid,its mass becomes $(17.3 \pm 0.1) \, g$. What is the best value for the mass of the liquid within the possible limits of accuracy?

If $x = a - b$,then the percentage error in $x$ will be