Reaction of ammonia with excess \(Cl _{2}\) gives :

The isoelectronic set of ions is

When \(400\, \mathrm{~mL}\) of \(0.2\, \mathrm{M} \,\mathrm{H}_{2} \mathrm{SO}_{4}\) solution is mixed with \(600\, \mathrm{~mL}\) of \(0.1\, \mathrm{M} \,\mathrm{NaOH}\) solution, the increase in temperature of the final solution is \(....\,\times 10^{-2} \,\mathrm{~K}\). (Round off to the Nearest Integer). \(\left[\right.\) Use \(: \mathrm{H}^{+}(\mathrm{aq})+\mathrm{OH}^{-}(\mathrm{aq}) \rightarrow \mathrm{H}_{2} \mathrm{O}: \Delta_{\mathrm{\gamma}} \mathrm{H}=-57.1\, \mathrm{k} \mathrm{J} \,\mathrm{mol}^{-1}\) Specific heat of \(\mathrm{H}_{2} \mathrm{O}=4.18 \mathrm{Jk}^{-} \mathrm{g}^{-}\) density of \(\mathrm{H}_{2} \mathrm{O}=1.0\, \mathrm{~g} \mathrm{~cm}^{-3}\) Assume no change in volume of solution on mixing.]

Match List \(I\) with List \(II\).Choose the correct answer from the options given below :

Given below are two statements : Statement \(I\) : The higher oxidation states are more stable down the group among transition elements unlike p-block elements. Statement \(II\) : Copper can not liberate hydrogen from weak acids. In the light of the above statements, choose the correct answer from the options given below :

Match list \(- I\) and List \(- II.\)

	List \(-I\)		List \(-II\)
\((a)\)	\(\begin{array}{*{20}{c}}   {O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\    {||\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\    {R - C - Cl \to R - CHO}  \end{array}\)	\((i)\)	\(Br _{2} / NaOH\)
\((b)\)	\(\begin{array}{*{20}{c}}   {R - C{H_2} - COOH \to R - CH - COOH} \\    {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,|} \\    {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,Cl}  \end{array}\)	\((ii)\)	\(H _{2} / Pd - BaSO _{4}\)
\((c)\)	\(\begin{array}{*{20}{c}}   {O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\    {||\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\    {R - C - N{H_2} \to R - N{H_2}}  \end{array}\)	\((iii)\)	\(Zn ( Hg ) /\) Conc. \(HCl\)
\((d)\)	\(\begin{array}{*{20}{c}}   {O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\    {||\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\    {R - C - C{H_3} \to R - C{H_2} - C{H_3}}  \end{array}\)	\((iv)\)	\(Cl _{2}\) / Red \(P , H _{2} O\)

Choose the correct answer from the options given below:

\(IUPAC\) name of following compound \((\mathrm{P})\) is 

Let in a series of \(2 n\) observations, half of them are equal to \(a\) and remaining half are equal to \(-a.\) Also by adding a constant \(b\) in each of these observations, the mean and standard deviation of new set become \(5\) and \(20 ,\) respectively. Then the value of \(a^{2}+b^{2}\) is equal to ....... .

In the given circuit, the magnitude of \(V_{L}\) and \(V_{C}\) are twice that of \(V_{R}\). Given that \(f=50\,Hz\), the inductance of the coil is \(\frac{1}{ K \pi}\,mH\). The value of \(K\) is_________

For a transparent prism, if the angle of minimum deviation is equal to its refracting angle, the refractive index n of the prism satisfies.

A solid metallic cube having total surface area \(24\;m ^{2}\) is uniformly heated. If its temperature is increased by \(10\,^{\circ} C\), calculate the increase in volume of the cube \(\left(\right.\) Given \(\left.: \alpha=5.0 \times 10^{-4}{ }^{\circ} C ^{-1}\right)\)

The solubility of \(N_2\) in water at  \(300\,K\)  and  \(500\,torr\)  partial pressure is \(0.01\,g\,L^{- 1}\) .The solubility ( in \(g\,L^{ -1}\))at \(750\,torr\)  partial pressure is

If \(\frac{1}{2 \cdot 3^{10}}+\frac{1}{2^{2} \cdot 3^{9}}+\ldots \frac{1}{2^{10} \cdot 3}=\frac{K}{2^{10} \cdot 3^{10}}\), then the remainder when \(K\) is divided by \(6\) is