Given below are two statements :
Statement I : Nitrogen forms oxides with +1 to +5 oxidation states due to the formation of \(\mathrm{p} \pi-\mathrm{p} \pi\) bond with oxygen.
Statement II : Nitrogen does not form halides with +5 oxidation state due to the absence of d-orbital in it.
In the light of given statements, choose the correct answer from the options given below.

Which one of the following metal complexes is most stable?

Number of electrons that Vanadium \((Z=23)\) has in p-orbitals is equal to \(......\)

The bond angle \(H-X-H\) is the greatest in the compound

In a cell, the following reactions take place \(Fe ^{2+} \rightarrow Fe ^{3+} + e ^{-} \quad E _{ Fe ^{3+} / Fe ^{2+}}=0.77 \,V\) \(2 I ^{-} \rightarrow I _{2}+2 e ^{-} \quad E _{ I _{2} / I ^{-}}^{0}=0.54 \,V\) The standard electrode potential for the spontaneous reaction in the cell is \(x \times 10^{-2} \,V 298\) \(K\). The value of \(x\) is .... (Nearest Integer)

Among the following halogens \(\mathrm{F}_2, \mathrm{Cl}_2, \mathrm{Br}_2\) and \(\mathrm{I}_2\) Which can undergo disproportionation reaction?

Which one of the following when dissolved in water gives coloured solution in nitrogen atmosphere?

For the reaction \(2 Fe ^{3+}( aq )+2 I ^{-}( aq ) \rightarrow 2 Fe ^{2+}( aq )+ I _{2}( s )\) the magnitude of the standard molar free energy change, \(\Delta_{ r } G _{ m }^{\circ}=-\) ........... \(kJ\) (Round off to the Nearest Integer). \(\left[\begin{array}{l} E _{ Fe ^{2+} / Fe ( s )}^{ o }=-0.440 V ; E _{ Fe ^{3+} / Fe ( s )}^{\circ}=-0.036 V \\ E _{ I _{2} / 2 I ^{-}}^{ o }=0.539 V ; \quad F =96500\, C \end{array}\right]\)

Find out the statements which are not true.
A. Resonating structure with more number of covalent bonds and lesser charge separation are more stable.
B. In electromeric effect, an unsaturated system shows + E effect with nucleophile and - E effect with electrophile.
C. Inductive effect is responsible for high melting point, boiling point and dipole moment of polar compounds.
D. The greater the number of alkyl groups attached to the doubly bonded carbon atoms, higher is the heat of hydrogenation.
E. Stability of carbanion increases with the increase in s-character of the carbon carrying the negative charge.
Choose the correct answer from the options given below.

A particle is executing Simple Harmonic Motion \((SHM)\). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

If a function \(f\) satisfies \(f(m+n)=f(m)+f(n)\) for all \(\mathrm{m}, \mathrm{n} \in \mathrm{N}\) and \(\mathrm{f}(1)=1\), then the largest natural number \(\lambda\) such that \(\sum_{\mathrm{k}=1}^{2022} \mathrm{f}(\lambda+\mathrm{k}) \leq(2022)^2\) is equal to ..........

The centres of those circles which touch the circle \({x^2} + {y^2} - 8x - 8y - 4 = 0\) externally and also touch the \(x-\)axis, lie on:

Let \(y(x)\) be the solution of the differential equation \(\left( {xlogx} \right)\frac{{dy}}{{dx}} + y = 2xlogx,\left( {x \ge 1} \right)\) . Then \(y(e) \) is equal to :      \([y(1)=0]\)