Which one of the following metal complexes is most stable?

A toxic compound " A " when reacted with NaCN in aqueous acidic medium yields an edible cooking component and food preservative ' \(B\) '. " \(B\) " is converted to "C" by diborane and can be used as an additive to petrol to reduce emission. "C" upon reaction with oleum at \(140^{\circ} \mathrm{C}\) yields an inhalable anesthetic "D". Identify "A", "B", "C" and "D", respectively.

\(4 \mathrm{~g}\) equimolar mixture of \(\mathrm{NaOH}\) and \(\mathrm{Na}_{2} \mathrm{CO}_{3}\) contains \(\mathrm{x} \mathrm{g}\) of \(\mathrm{NaOH}\) and \(\mathrm{y} \mathrm{g}\) of \(\mathrm{Na}_{2} \mathrm{CO}_{3}\). The value of \(x\) is \(.....g.\) (Nearest integer)

For the reaction, \( N_{2}O_{4}\rightleftharpoons 2NO_{2}, \) graph is plotted as shown below. Identify correct statements.
A. Standard free energy change for the reaction is -5.40 kJ mol⁻¹.
B. As \( \Delta G^{\ominus} \) in graph is positive, \( N_{2}O_{4} \) will not dissociate into \( NO_{2} \) at all.
C. Reverse reaction will go to completion.
D. When 1 mole of \( N_{2}O_{4} \) changes into equilibrium mixture, value of \( \Delta G^{\ominus}=-0.84 \, kJ \, mol^{-1} \).
E. When 2 mole of \( NO_{2} \) changes into equilibrium mixture, \( \Delta G^{\ominus} \) for equilibrium mixture is -6.24 kJ mol⁻¹.

Choose the correct answer from the options given below:

The correct order of energy of absorption for the following metal complexes is \(A: \left[ Ni ( en )_{3}\right]^{2+}, B :\left[ Ni \left( NH _{3}\right)_{6}\right]^{2+}, C :\left[ Ni \left( H _{2} O \right)_{6}\right]^{2+}\)

Match the catalysis (Column\(-I\) ) with products (Column \(-II\) )

Column \(-I\) Catalyst	Column \(-II\) >Product
\((a)\) \(V_2O_5\)	\((i)\) Polyethylene
\((b)\) \(TiCl_4/Al(Me)_3\)	\((ii)\) Ethanal
\((c)\) \(PdCl_2\)	\((iii)\) \(H_2SO_4\)
\((d)\) Iron oxide	\((iv)\) \(NH_3\)

Number of alkanes obtained on electrolysis of a mixture of \(\mathrm{CH}_3 \mathrm{COONa}\) and \(\mathrm{C}_2 \mathrm{H}_5 \mathrm{COONa}\) is _______.

An electron of a hydrogen like atom, having \(Z=4\), jumps from \(4^{\text {th }}\) energy state to \(2^{\text {nd }}\) energy state, The energy released in this process, will be \(.........eV\) \((\) Given \(Rch =13.6\,eV )\) Where \(R =\) Rydberg constant \(c=\) Speed of light in vacuum \(h =\) Planck's constant

Let \(\mathrm{n}>2\) be an integer. Suppose that there are \(n\) Metro stations in a city located along a circular path. Each pair of stations is connected by a straight track only. Further, each pair of nearest stations is connected by blue line, whereas all remaining pairs of stations are connected by red line. If the number of red lines is \(99\) times the number of blue lines, then the value of \(n\) is

Let \(C\) be the set of all complex numbers. Let \(\mathrm{S}_{1}=\{\mathrm{z} \in \mathrm{C}:|\mathrm{z}-2| \leq 1\} \text { and }\) \(\mathrm{S}_{2}=\{\mathrm{z} \in \mathrm{C}: \mathrm{z}(1+\mathrm{i})+\overline{\mathrm{z}}(1-\mathrm{i}) \geq 4\}\) Then, the maximum value of \(\left|z-\frac{5}{2}\right|^{2}\) for \(z \in \mathrm{S}_{1} \cap \mathrm{S}_{2}\) is equal to:

Consider the function \(\mathrm{f}:\left[\frac{1}{2}, 1\right] \rightarrow \mathrm{R}\) defined by \(f(x)=4 \sqrt{2} x^3-3 \sqrt{2} x-1\). Consider the statements \((I)\) The curve \(y=f(x)\) intersects the \(x\)-axis exactly at one point \((II)\) The curve \(y=f(x)\) intersects the \(x\)-axis at \(\mathrm{x}=\cos \frac{\pi}{12}\) Then

Given below are two statements:
Statement I : Hyperconjugation is not a permanent effect.
Statement II : In general, greater the number of alkyl groups attached to a positively charged C -atom, greater is the hyperconjugation interaction and stabilization of the cation.
In the light of the above statements, choose the correct answer from the options given below

If \(y=y(x)\) is the solution of the differential equation \(x \frac{d y}{d x}+2 y=x e^{x}, y(1)=0\) then the local maximum value of the function \(z(x)=x^{2} y(x)-e^{x}\), \(x \in R\) is