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

List-\(I\) (Complexion)	List-\(II\) (Spin only magnetic moment in B.M.)
\((A)\) \({\left[\mathrm{Cr}\left(\mathrm{NH}_5\right)_0\right]^{3+}}\)	\((I)\) \(4.90\)
\((B)\) \({\left[\mathrm{NiCl}_4\right]^{2-}}\)	\((II)\) \(3.87\)
\((C)\) \({\left[\mathrm{CoF}_6\right]^{3-}}\)	\((III)\) \(0.0\)
\((D)\) \({\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}}\)	\((IV)\) \(2.83\)

Choose the correct answer from the options given below:

In \({S_{{N^2}}}\) reactions, the correct order of reactivity for the following compounds :

In the cell  \(Pt(s)| H_2 (g,1\,bar)| HCl(aq)| AgCl(s)| Ag(s)| Pt(s)\) the cell potential is \(0.92\,V\) when a \(10^{-6}\) molal \(HCl\) solution is used. The standard electrode potential of \((AgCl / Ag,Cl^- )\) electrode is ............. \(\mathrm{V}\) \(\left\{ {Given,\frac{{2.303RT}}{F} = 0.06\,V\,at\,298\,K} \right\}\) 

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.]

Ammonolysis of Alkyl halides followed by the treatment with \(NaOH\) solution can be used to prepare primary, secondary and tertiary amines. The purpose of \(NaOH\) in the reaction is :

MX is a sparingly soluble salt that follows the given solubility equilibrium at 298 K \(MX ( s ) \rightleftharpoons M ^{+}( aq )+ X ^{-}( aq ) ; K _{ sp }=10^{-10}\) If the standard reduction potential for \(M ^{+}( aq ) \xrightarrow{+ e ^{-}} M ( s )\) is \(\left( E _{ M ^{+} / M }^{\ominus}\right)=0.79 V\), then the value of the standard reduction potential for the metal/metal insoluble salt electrode \(E _{ X ^{-} / MX ( s ) / M }^{\ominus}\) is __________ mV. (nearest integer) [Given: \(\frac{2.303 R T}{F}=0.059 V\) ]

\(5\,g\) of \(NaOH\) was dissolved in deionized water to prepare a \(450\,mL\) stock solution. What volume (in \(mL\) ) of this solution would be required to prepare \(500\,mL\) of \(0.1\,M\) solution? Given : Molar Mass of \(Na\), \(O\) and \(H\) is \(23,16\) and \(1\,g\,mol ^{-1}\) respectively

The electric field in an electromagnetic wave is given by \(\overrightarrow{\mathrm{E}}=\hat{\mathrm{i}} 40 \cos \omega\left(\mathrm{t}-\frac{\mathrm{z}}{\mathrm{c}}\right) N \mathrm{NC}^{-1}\). The magnetic field induction of this wave is (in SI unit) _______.

Consider a solid sphere of radius \(\mathrm{R}\) and mass density \(\rho(\mathrm{r})=\rho_{0}\left(1-\frac{\mathrm{r}^{2}}{\mathrm{R}^{2}}\right),  0<\mathrm{r} \leq \mathrm{R} .\) The minimum density of a liquid in which it will float is

\(1\, \mathrm{~kg}\) of \(0.75\) molal aqueous solution of sucrose can be cooled up to \(-4^{\circ} \mathrm{C}\) before freezing. The amount of ice (in \(g\)) that will be separated out is .... . (Nearest integer) \(\left[\right.\) Given \(\left.: \mathrm{K}_{\mathrm{f}}\left(\mathrm{H}_{2} \mathrm{O}\right)=1.86\, \mathrm{~K}\, \mathrm{~kg}\, \mathrm{~mol}^{-1}\right]\)

Let \(\alpha, \beta\) be the roots of the equation \(x^2 - 3x + r = 0\), and \(\dfrac{\alpha}{2}, 2\beta\) be the roots of the equation \(x^2 + 3x + r = 0\). If the roots of the equation \(x^2 + 6x = m\) are \(2\alpha + \beta + 2r\) and \(\alpha - 2\beta - \dfrac{r}{2}\), then \(m\) is equal to:

Two resistors \(2 \Omega\) and \(3 \Omega\) are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire XY . When an unknown resistor is connected in parallel with \(3 \Omega\) resistor, the null point is shifted by 22.5 cm toward Y . The resistance of unknown resistor is _________ \(\Omega\).

Binding energy of a certain nucleus is \(18 \times 10^8 J\). How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus?