The temperature of a body measured by a thermometer with a least count of $0.2 ^\circ C$ is $37.8 ^\circ C$. The temperature with error is represented as ... and the percentage error of the observation is ...

Students $I$,$II$,and $III$ perform an experiment for measuring the acceleration due to gravity $(g)$ using a simple pendulum. They use different lengths of the pendulum and/or record time for different numbers of oscillations. The observations are shown in the table. Least count for length $= 0.1 \text{ cm}$. Least count for time $= 0.1 \text{ s}$.

Student	Length $(cm)$	Oscillations $(n)$	Total Time $(s)$	Time Period $(s)$
$I$	$64.0$	$8$	$128.0$	$16.0$
$II$	$64.0$	$4$	$64.0$	$16.0$
$III$	$20.0$	$4$	$36.0$	$9.0$

If $E_{I}$,$E_{II}$,and $E_{III}$ are the percentage errors in $g$,i.e.,$(\frac{\Delta g}{g} \times 100)$ for students $I$,$II$,and $III$ respectively,which of the following is correct?

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.

The percentage error in the measurement of mass and speed are $3\%$ and $2\%$ respectively. Then,the percentage error in kinetic energy will be .......... $\%$

$A$ physical parameter $a$ can be determined by measuring the 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 $b_1\%, c_1\%, d_1\%$ and $e_1\%$ respectively,then the maximum percentage error in the value of $a$ determined by the experiment is:

$A$ current of $(2.5 \pm 0.05) \ A$ flows through a wire and develops a potential difference of $(10 \pm 0.1) \ V$. The resistance of the wire in $\Omega$ is: