$A$ quantity $Q$ is formulated as $Q = X^{-2} Y^{\frac{3}{2}} Z^{-\frac{2}{5}}$. $X, Y$ and $Z$ are independent parameters which have fractional errors of $0.1, 0.2$ and $0.5$,respectively,in measurement. The maximum fractional error of $Q$ is:

If $1 \%$ and $2 \%$ are the errors in the measurement of mass and density of a cube respectively,then the error in the measurement of length is (in $\%$)

In the experiment of $Ohm's$ law,a potential difference of $5.0\, V$ is applied across the ends of a conductor of length $10.0\, cm$ and diameter of $5.00\, mm$. The measured current in the conductor is $2.00\, A$. The maximum permissible percentage error in the resistivity of the conductor is (in $\%$)

Four students measure the height of a tower. Each student uses a different method and each measures the height many different times. The data for each are plotted below. The measurement with the highest precision is

If the length of rod $A$ is $3.25 \pm 0.01 \,cm$ and that of rod $B$ is $4.19 \pm 0.01 \,cm$,then the rod $B$ is longer than rod $A$ by:

$A$ capacitor of capacitance $(4.0 \pm 0.2) \mu F$ is charged to a potential of $(10.0 \pm 0.1) V$. The charge on the capacitor is