$A$ force '$F$' is applied on a square plate of side '$L$'. If the percentage error in determining '$L$' is $3\%$ and that in '$F$' is $2\%$, then the percentage error in determining the pressure is: (in $\%$)

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

Explain least count and least count error. Write a note on least count error.

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 measurements of two quantities along with the precision of their respective measuring instruments are $A = 2.5 \, m/s \pm 0.5 \, m/s$ and $B = 0.10 \, s \pm 0.01 \, s$. The value of $AB$ will be:

In an experiment,four quantities $a, b, c, d$ are measured with percentage errors $2\%$,$1\%$,$3\%$ and $5\%$,respectively. Quantity $P$ is calculated as $P = \frac{a^2 b^2}{c d}$. Find the percentage error in measuring $P$. (in $\%$)