The percentage of gold in $14$ carat gold is: (in $\%$)

$A$ sphere and a cube of the same material and same volume are heated up to the same temperature and allowed to cool in the same surroundings. The ratio of the amounts of radiation emitted will be

The mutual inductance of a pair of coils,each of $N$ turns,is $M$ henry. If a current of $I$ ampere in one of the coils is brought to zero in $t$ seconds,the $emf$ induced per turn in the other coil,in volts,will be

The best-defined function of Manganese in green plants is:

If $m$ and $\sigma^2$ are the mean and variance of the random variable $X$,whose distribution is given by:

$X = x$	$0$	$1$	$2$	$3$
$P(X = x)$	$\frac{1}{3}$	$\frac{1}{2}$	$0$	$\frac{1}{6}$

Then:

The molar heat capacity of water at constant pressure is $75 \, J \, K^{-1} \, mol^{-1}$. When $1.0 \, kJ$ of heat is supplied to $100 \, g$ of water,which is free to expand,the increase in temperature of water is $...... \, K$.