The percentage error in the measurement of $g$ is $.....\%$ (Given that $g = \frac{4 \pi^2 L}{T^2}$,$L = (10 \pm 0.1) \, cm$,$T = (100 \pm 1) \, s$)

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

$A$ student measures time for $20$ oscillations of a simple pendulum as $30 \ s, 32 \ s, 35 \ s$ and $35 \ s$. If the minimum division in the measuring clock is $1 \ s$,then the correct mean time (in seconds) is:

The percentage error in the measurement of a physical quantity $m$ given by $m = \pi \tan \theta$ is minimum when $\theta = \dots \dots \dots \dots \dots ^\circ$ (Assume that the error in $\theta$ remains constant).

If the maximum and minimum temperatures at a place on a day are measured as $44^{\circ} C \pm 0.5^{\circ} C$ and $22^{\circ} C \pm 0.5^{\circ} C$ respectively,then the temperature difference is

The relative error in the determination of the surface area of a sphere is $\alpha$. Then the relative error in the determination of its volume is