Which among the following molecules is (a) involved in \(\mathrm{sp}^3 \mathrm{~d}\) hybridization, (b) has different bond lengths and (c) has lone pair of electrons on the central atom?

Match List - I with List - II.

List - I (Reaction)	List - II (Type of redox reaction)
(A) \(TiCl _4\)	(I) \(e ^2, t _2^0\)
(B) \(\left[ FeO _4\right]^{2-}\)	(II) \(e^4, t_2^3\)
(C) \(\left[ FeCl _4\right]^{-}\)	(III) \(e^0, t_2^0\)
(D) \(\left[ CoCl _4\right]^{2-}\)	(IV) \(e ^2, t _2^3\)

Choose the correct answer from the options given below :

The major product formed in the following reaction is :

Consider the following data for the given reaction \(2 \mathrm{HI}_{(\mathrm{g})} \rightarrow \mathrm{H}_{2(\mathrm{g})}+\mathrm{I}_{2(\mathrm{g})}\). The order of the reaction is ................

	\(1\)	\(2\)	\(3\)
\(\text{HI} \left(\text{molL} ^{-1}\right)\)	\(0.005\)	\(0.01\)	\(0.02\)
Rate \(\left(\text{molL} ^{-1}\text s-1\right)\)	\(7.5 \times 10^{-4}\)	\(3.0 \times 10^{-3}\)	\(1.2 \times 10^{-2}\)

A non-volatile, non-electrolyte solid solute when dissolved in \(40\) g of a solvent, the vapour pressure of the solvent decreased from \(760\) mm Hg to \(750\) mm Hg. If the same solution boils at \(320\) K, then the number of moles of the solvent present in the solution is _____. (Nearest integer)
[Given: boiling point of the pure solvent \(= 319.5\) K, \(K_b\) of the solvent \(= 0.3\) K kg mol\(^{-1}\)]

Arrange the following compounds in increasing order of rate of aromatic electrophilic substitution reaction

The osmotic pressure of a solution of \(NaCl\) is \(0.10\) \(atm\) and that of a glucose solution is \(0.20\) \(atm.\) The osmotic pressure of a solution formed by mixing \(1\, L\) of the sodium chloride solution with \(2\, L\) of the glucose solution is \(x \times 10^{-3}\) atm. \(x\) is.......... (nearest integer)

Let \(C\) be the circle of minimum area enclosing the ellipse \(E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) with eccentricity \(\frac{1}{2}\) and foci \(( \pm 2,0)\). Let PQR be a variable triangle, whose vertex \(P\) is on the circle \(C\) and the side \(Q R\) of length 29 is parallel to the major axis of \(E\) and contains the point of intersection of \(E\) with the negative \(y\)-axis. Then the maximum area of the triangle PQR is :

The amount of electricity in Coulomb required for the oxidation of \(1 \mathrm{~mol}\) of \(\mathrm{H}_2 \mathrm{O}\) to \(\mathrm{O}_2\) is _______ \(\times 10^5 \mathrm{C}\).

In the reported figure of earth, the value of acceleration due to gravity is same at point \(A\) and \(C\) but it is smaller than that of its value at point \(B\) (surface of the earth). The value of OA \(: AB\) will be \(x : y .\) The value of \(x\) is \(\ldots \ldots \ldots\)

In the following circuit, the magnitude of current \(I _{ l }\), is \(............A\).

Given below are two statements :
Statement I: The number of pairs among [ \( SiO_{2}, CO_{2} \)], [SnO, \( SnO_{2} \)], [PbO, \( PbO_{2} \)] and [GeO, \( GeO_{2} \)], which contain oxides that are both amphoteric is 2.
Statement II: \( BF_{3} \) is an electron deficient molecule can act as a lewis acid, forms adduct with \(NH _3\) and has a trigonal planar geometry.
In the light of the above statement, choose the correct answer from the option given below.

Given below are two statements: one is labelled as Assertion \((A)\) and the other is labelled as Reason \((R)\) : Assertion \((A)\) : \(\mathrm{S}_{\mathrm{N}} 2\) reaction of \(\mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_2 \mathrm{Br}\) occurs more readily than the \(\mathrm{S}_{\mathrm{N}} 2\) reaction of \(\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{Br}\). Reason \((R)\) : The partially bonded unhybridized p-orbital that develops in the trigonal bipyramidal transition state is stabilized by conjugation with the phenyl ring. In the light of the above statements, choose the most appropriate answer from the options given below: