$A$ physical quantity $P$ is given as $P = \frac{a^2 b^3}{c \sqrt{d}}$. The percentage errors in the measurement of $a, b, c,$ and $d$ are $1 \%, 2 \%, 3 \%,$ and $4 \%$ respectively. The percentage error in the measurement of quantity $P$ will be $.......\%$.

The mean time period of a second's pendulum is $2.00 \, s$ and the mean absolute error in the time period is $0.05 \, s$. To express the maximum estimate of error,the time period should be written as:

The radius $(r)$,length $(l)$,and resistance $(R)$ of a metal wire were measured in the laboratory as:
$r = (0.35 \pm 0.05) \text{ cm}$
$R = (100 \pm 10) \text{ } \Omega$
$l = (15 \pm 0.2) \text{ cm}$
The percentage error in the resistivity of the material of the wire is: (in $\%$)

In an experiment, the coefficient of viscosity (in $mPa \cdot s$) of a liquid was determined as $2.62, 2.68, 2.58, 2.57, 2.54$ and $2.55$. The mean absolute error in the determination of the coefficient of viscosity of the liquid is

The acceleration due to gravity is found up to an accuracy of $4\,\%$ on a planet. The energy supplied to a simple pendulum of known mass '$m$' to undertake oscillations of time period $T$ is being estimated. If the time period is measured to an accuracy of $3\,\%$,the accuracy to which $E$ is known is $..........\,\%$.

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 $\%$)