Match the LIST-I with LIST-II

List-I Electronic configuration of tetrahedral metal ion	List-II Crystal Field Stabilization Energy (\(\Delta_t\))
A. \(d^2\)	I. \(-0.6\)
B. \(d^4\)	II. \(-0.8\)
C. \(d^6\)	III. \(-1.2\)
D. \(d^8\)	IV. \(-0.4\)

Choose the correct answer from the options given below:

In the given reaction,\(X + Y +3 Z \rightleftarrows XYZ _{3}\) if one mole of each of \(X\) and \(Y\) with \(0.05 mol\) of \(Z\) gives compound \(XYZ _{3}\). (Given : Atomic masses of \(X , Y\) and \(Z\) are 10,20 and \(30 amu\), respectively). The yield of \(XYZ _{3}\) is \(.........g\).(Nearest integer)

Consider the following reactions. From these reactions which reaction will give carboxylic acid
as a major product ?
(A) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { mild condition }]{\text { (i) } \mathrm{H}^{+} / \mathrm{H}_2 \mathrm{O}}\)
(B) \(\mathrm{R}-\mathrm{MgX} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{CO}_2}\)
(C) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{SnCl}_2 / \mathrm{HCl}}\)
(D) \(\mathrm{R} \cdot \mathrm{CH}_2 \cdot \mathrm{OH} \xrightarrow{\mathrm{PCC}}\)
(E)

Choose the correct answer from the options given below:

A \(100\, mL\) solution was made by adding \(1.43\, g\) of \(Na _{2} CO _{3} \cdot xH _{2} O .\) The normality of the solution is \(0.1\) \(N.\) The value of \(x\) is.......... (The atomic mass of \(Na\) is \(23\, g / mol\) ) :

\(Nd ^{2+}=\)

Given below are two statements
Statement I : The N-N single bond is weaker and longer than that of \(\mathrm{P}-\mathrm{P}\) single bond
Statement II : Compounds of group 15 elements in +3 oxidation states readily undergo disproportionation reactions.
In the light of above statements, choose the correct answer from the options given below

Identify the name reaction.

Let \(\Delta\) be the area of the region \(\left\{( x , y ) \in R ^2: x ^2+ y ^2 \leq 21, y ^2 \leq 4 x , x \geq 1\right\}\). Then \(\frac{1}{2}\left(\Delta-21 \sin ^{-1} \frac{2}{\sqrt{7}}\right)\) is equal to

Let \(P Q\) be a chord of the parabola \(y^2=12 x\) and the midpoint of \(PQ\) be at \((4,1)\). Then, which of the following point lies on the line passing through the points \(\mathrm{P}\) and \(\mathrm{Q}\) ?

The mean free path of a molecule of diameter \(5\times10^{-10}\) m at the temperature \(41^{\circ}C\) and pressure \(1.38\times10^{5}Pa\), is given as ___________ m.
(Given \(k_{B}=1.38\times10^{-23}J/K\)).

A circle in inscribed in an equilateral triangle of side of length \(12\). If the area and perimeter of any square inscribed in this circle are \(\mathrm{m}\) and \(\mathrm{n}\), respectively, then \(m+n^2\) is equal to

Correct formula for height of a satellite from earths surface is _______.

Primary, secondary and tertiary amines can be separated using :-