Identify the product ' \(X\) ' and ' \(Y\) ' in the following reaction.

Adsorption is surface phenomenon and it differs from absorption which occurs throughout the body of the substance which absorbs. In physisorption the attractive forces are mainly van der Waal forces while in chemisorption actual bonding occurs between the particles of adsorbent and adsorbed more easily on the surface of a solid as compared to the gases which are liquified with difficulty. Adsorption increases with the increases in pressure and decreases as temperature is increased.According to adsorption theory of catalysis, the speed of the reaction increases because

Identify the given name reaction :
\(R-NH_2+CHCl_3+3 KOH \xrightarrow{\text { Heat }} R-NC+3 KCl+3H_2 O\)

The relation and units of cell constant are, Solutionrespectively,

The overall order of a reaction which has the rate expression
Rate \(=k[A]^{\frac{1}{2}}[B]^2\) will be:

Read the passage carefully and answer the Questions
In the formation of coordination complexes, if the inner \(d\) orbital \((n-1)d\) is used in hybridisation, the complex, is called an inner orbital or low spin or spin paired complex. And if it uses outer \(d\) orbital \((nd)\) in hybridisation (like \(sp^3d^2\)), it is called outer orbital or high spin or spin free complex. The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the complex. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting. For coordination complexes, the magnetic moment is determined by the number of unpaired electrons and is calculated by using the 'spin-only' formula, \(\mu = \sqrt{n(n+2)}\) where \(n\) is the number of unpaired electrons and \(\mu\) is the magnetic moment in units of Bohr magneton \((BM)\). The coordination compounds are of great importance. These compounds are widely present in the mineral, plant and animal worlds and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine.
\([Co(NH_3)_6]^{3+}\) and \([Ni(NH_3)_6]^{2+}\) respectively are

Which of the following compound is most reactive towards nucleophilic addition reaction?

Let \(A=\{1,2,3\}\). Then, the number of relations containing \((1,2)\) and \((1,3)\), which are reflexive and symmetric but not transitive, is:

The correct structure representing N,N-dimethylethanamine is

Match the complexes given in List-I with their properties given in List-II

List-I (Complex)	List-II (Property)
(A) \(\left[{FeF}_6\right]^{3-}\)	(I) \(d^6\), high spin
(B) \(\left[{CoF}_6\right]^{3-}\)	(II) \(d^5\), high spin
(C) \(\left[{Mn}({CN})_6\right]^{3-}\)	(III) \(d^6\), low spin
(D) \(\left[{Co}({CN})_6\right]^{3-}\)	(IV) \(d^4\), low spin

Choose the correct answer from the options given below:

If \(\sin ^{-1} x+\sin ^{-1} y=\frac{2 \pi}{3}\), then the value of \(\cos ^{-1} x+\cos ^{-1} y\) is :

Read the following paragraph carefully and answer the given questions.
In the year 1963 the two enzymes responsible for restricting the growth of bacteriophage in E. coli were isolated. The first restriction endonuclease - Hind II, whose functioning depended on a specific DNA nucleotide sequence was characterized five years later. It was found that Hind II always cut DNA molecules at a particular point by recognizing a specific sequence of six base pairs. This specific base sequence is known as the recognition sequence for Hind II. Besides Hind II, today we know more than 900 restriction enzymes that have been isolated from over 230 strains of bacteria, each of which recognize different recognition sequences.
DNA fragments can be separated by a technique known as:

Area of a rectangle having vertices A, B, C, D with position vectors \(-\hat{i} + \frac{1}{2}\hat{j} + 4\hat{k}, \hat{i} + \frac{1}{2}\hat{j} + 4\hat{k}, \hat{i} - \frac{1}{2}\hat{j} + 4\hat{k}\) and \(-\hat{i} - \frac{1}{2}\hat{j} + 4\hat{k}\) respectively is: