Arrange the following solutions is the decreasing order of \(pOH\) \((A)\) \(0.01 \,M\, HCl\) \((B)\) \(0.01 \,M \,NaOH\) \((C)\) \(0.01 \,M \,CH _{3} COONa\) \((D)\) \(0.01 \,M \,NaCl\)

Bond distance in \(HF\) is \(9.17\times10^{-11}\, m\). Dipole moment of \(HF\) is \(6.104\times10^{- 30}\, Cm\). The percentage ionic character in \(HF\) will be : .............. \(\%\) ( electron charge \(= 1.60\times10^{-19}\, C\))

The bond dissociation enthalpy of \(\mathrm{X}_2 \Delta \mathrm{H}_{\text {bond }}\) calculated from the given data is _______ \(\mathrm{kJ} \mathrm{mol}^{-1}\). (Nearest integer)
\(\begin{aligned}
& \mathrm{M}^{+} \mathrm{X}^{-}(\mathrm{s}) \rightarrow \mathrm{M}^{+}(\mathrm{g})+\mathrm{X}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\text {lattice }}^*=800 \mathrm{~kJ} \mathrm{~mol}^{-1} \\
& \mathrm{M}(\mathrm{~s}) \rightarrow \mathrm{M}(\mathrm{~g}) \Delta \mathrm{H}_{\text {sub }}^{\circ}=100 \mathrm{~kJ} \mathrm{~mol}^{-1}
\end{aligned}\)
\(\mathrm{M}(\mathrm{~g}) \rightarrow \mathrm{M}^{+}(\mathrm{g})+\mathrm{e}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\mathrm{i}}=500 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
\(\mathrm{X}(\mathrm{~g})+\mathrm{e}^{-}(\mathrm{g}) \rightarrow \mathrm{X}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\mathrm{eg}}^*=-300 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
\(\mathrm{M}(\mathrm{~s})+\frac{1}{2} \mathrm{X}_2(\mathrm{~g}) \rightarrow \mathrm{M}^{+} \mathrm{X}^{-}(\mathrm{s}) \Delta \mathrm{H}_f^{\circ}=-400 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
[Given : \(\mathrm{M}^{+} \mathrm{X}^{-}\)is a pure ionic compound and X forms a diatomic molecule \(\mathrm{X}_2\) in gaseous state]

In the following reaction the reason why meta-nitro product also formed is

Match List-\(I\) with the List-\(II\).

List - I (Reaction)	List - II (Type of redox reaction)
(A) \(N _{2(g)}+ O _{2(g)} \rightarrow 2 NO _{( g )}\)	(I) Decomposition
(B) \(2 Pb\left( NO _3\right)_{2(s)} \rightarrow 2 PbO _{( s )}+4 NO _{2(g)}+ O _{2(g)}\)	(II) Displacement
(C) \(2 Na _{( s )}+2 H _2 O _{( l )} \rightarrow 2 NaOH _{( aq .)}+ H _{2(g)}\)	(III) Disproportionation
(D) \(2 NO _{2(g)}+2- OH _{( aq )} \rightarrow NO _{2( aq .)}^{-}+ NO _{3( qq .)}^{-}+ H _2 O _{( l )}\)	(IV) Combination

Choose the correct answer from the options given\(\text{ }\)below\(\text{ }\):

Designate whether each of the following compounds is aromatic or not aromatic.

Potassium chlorate is prepared by the electrolysis of \(KCl\) in basic solution \(6 OH ^{-}+ Cl ^{-} \rightarrow ClO _{3}^{-}+3 H _{2} O +6 e ^{-}\) If only \(60 \%\) of the current is utilized in the reaction, the time (rounded to the nearest hour) required to produce \(10\, g\) of \(KCIO _{3}\) using a current of \(2\, A\) is.......... (Given : \(F =96,500\, C\, mol ^{-1}\) molar mass of \(\left. KClO _{3}=122\,gmol ^{-1}\right)\)

The distance between object and its \(3\) times magnified virtual image as produced by a convex lens is \(20 \mathrm{~cm}\). The focal length of the lens used is _______ \(\mathrm{cm}\).

A mixture containing the following four compounds is extracted with \(1 \,M\, HCl\). The compound that goes to aqueous layer is

Let \(\vec{a}=\hat{i}+4 \hat{j}+2 \hat{k}, \vec{b}=3 \hat{i}-2 \hat{j}+7 \hat{k}\) and \(\overrightarrow{ c }=2 \hat{ i }-\hat{ j }+4 \hat{ k }\). If a vector \(\overrightarrow{ d }\) satisfies \(\overrightarrow{ d } \times \overrightarrow{ b }=\overrightarrow{ c } \times \overrightarrow{ b }\) and \(\overrightarrow{ d } \cdot \overrightarrow{ a }=24\), then \(|\overrightarrow{ d }|^2\) is equal to \(.........\).

The set that represents the pair of neutral oxides of nitrogen is :

Eight mercury drops, each of radius \(r\), coalesce to form a bigger drop. The surface energy released in this process is _______. (\(S\) is the surface tension of mercury).

At constant volume, \(4\; mol\) of an ideal gas when heated from \(300\; \mathrm{K}\) to \(500\; \mathrm{K}\) changes its internal energy by \(5000\; \mathrm{J}\). The molar heat capacity at constant volume is ............... \(\mathrm{J\,mol}^{-1} \, \mathrm{K}^{-1}\)