$A$ wire has mass $(0.3 \pm 0.003) \text{ g}$, radius $(0.5 \pm 0.005) \text{ mm}$ and length $(6 \pm 0.06) \text{ cm}$. The maximum percentage error in the measurement of density is: (in $\%$)

$A$ physical quantity $A$ can be determined by measuring parameters $B, C, D$ and $E$ using the relation $A = \frac{B^\alpha C^\beta}{D^\gamma E^\delta}$. If the maximum percentage errors in the measurement of $B, C, D$ and $E$ are $b\%, c\%, d\%$ and $e\%$ respectively,then the maximum percentage error in the value of $A$ is:

The initial and final temperatures of water as recorded by an observer are $(40.6 \pm 0.2)^{\circ}C$ and $(78.9 \pm 0.3)^{\circ}C$. Calculate the rise in temperature with proper error limits.

$A$ body travels uniformly a distance of $(13.8 \pm 0.2) \ m$ in a time $(4.0 \pm 0.3) \ s$. The velocity of the body within error limits is

If there is an error of $1\%$ in the calculation of the mass of a disc and $1.5\%$ error in the radius,then the $\%$ error in the moment of inertia about an axis tangent to the disc is .......... $\%$

The length of a pendulum is measured as $1.01 \ m$ and the time for $30$ oscillations is measured as $1 \ minute \ 3 \ s$. The error in length is $0.01 \ m$ and the error in time is $3 \ s$. The percentage error in the measurement of acceleration due to gravity is: (in $\%$)