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The coordination compounds are of great importance. These compounds are widely present in the mineral, plants and animal world and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine. For example, coordination compounds find use in many qualitative and quantitative chemical analysis. Some important metal extraction and purification make use of complex formation. Hardness of water can be estimated by stable complex formation of Ca\(^{2+}\) and Mg\(^{2+}\)
Wilkinson catalyst used for hydrogenation of alkenes is a complex of ___________.

Decreasing order of freezing point of 0.1 M aqueous solution of following will be :
(A) \(\text{K}_4\text{[Fe(CN)}_6\text{]}\)
(B) \(\text{K}_2\text{SO}_4\)
(C) \(\text{NH}_2\text{CONH}_2\)
(D) \(\text{AlCl}_3\)
(E) \(\text{HCl}\)
Choose the correct answer from the options given below :

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The crystal field theory (CFT) is an electrostatic model which considers the metal-ligand bond to be ionic arising purely from electrostatic interactions between the metal ion and the ligand. Ligands are treated as point charges in case of anions or dipoles in case of neutral molecules. The five d orbitals in an isolated gaseous metal atom/ion have same energy, i.e., they are degenerate. This degeneracy is maintained if a spherically symmetrical field of negative charges surrounds the metal atom/ion. However, when this negative field is due to ligands (either anions or the negative ends of dipolar molecules like NH3 and H2O) in a complex, it becomes asymmetrical and the degeneracy of the d orbitals is lifted. It results in splitting of the d orbitals. The pattern of splitting depends upon the nature of the crystal field.
If the fourth electron in d subshell enters one of the eg orbitals in octahedral complexes, it indicates that

Identify 'X' along with oxidation state of halogen in the given reaction :
\(3\text{Cl}_2 + 6\text{NaOH} \rightarrow 5\text{NaCl}+\text{X} + 3\text{H}_2\text{O}\) (hot and conc.)

From the statements given below, choose the correct statement regarding the galvanic cell.

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Many halogen containing organic compounds are present in nature and some of them are clinically useful. These classes of organic compounds find a wide range of applications in our daily life as well as in industries. Many of the polyhalogen compounds are useful too in agriculture. However, some of these compounds cannot be easily decomposed and are thus considered to be environmental hazards. These halo compounds are prepared via different synthetic routes where a variety of organic compounds can be used as substrates such as amines, hydrocarbons etc. They are used as solvents for relatively non-polar compounds. These compounds exhibit substitution and elimination reactions, in addition to their reactions with different metals, which leads to the formation of a versatile starting material for others organic compounds.
Alkyl halides react with sodium in dry ether and give hydrocarbon containing double the number of carbon atom present in the halides. The reaction is known as:

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The concentration dependence of the rate of a reaction is called the differential rate equation. It is not always convenient to determine the instantaneous rate, as it is measured by calculating the slope of the tangent at point 't' in the concentration vs time plot. This makes it difficult to determine the rate and hence the order of the reaction. This difficulty is overcome by integrating the differential rate equation. This integrated rate equation gives a direct relation between concentrations at different times and the rate constant. The integrated rate equations are different for the reactions having different reaction orders.
For an integrated first order reaction, a straight line graph is plotted. The incorrect co-ordinates and resulting slope of the graph are

A person wishes to purchase a house for ₹ \(39,65,000\) with a down payment of ₹ \(5,00,000\) and balance in equal monthly installments (EMI) for 25 years.
If bank charges \(6 \%\) per annum compounded monthly, then EMI on reducing balance payment method is:
[Given \((1.005)^{300}=4.465\) ]

A galvanometer having a resistance of \(7 \Omega\) is shunted by a resistance of \(3 \Omega\). If the total current is 1 A, the value of current passing through the shunt is

Sum of the minor and the cofactor of the element 6 in the determinant \(\left|\begin{array}{lll}2 & 3 & 1 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{array}\right|\) is :

Which one of the following events is true about the lac operon in the absence of an inducer?

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According to Valence Bond theory, the metal atom or ion under the influence of ligands can use its ( \(n-1) d, n s, n p\) or \(n s, n p, n d\) orbitals for hybridisation to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on. These hybridised orbitals are allowed to overlap with ligand orbitals that can donate electron pairs for bonding. While the VB theory, to a larger extent, explains the formation, structures and magnetic behaviour of coordination compounds, it suffers from the many shortcomings. The Crystal field theory (CFT) is an electrostatic model which considers the metal-ligand bond to be ionic arising purely from electrostatic interactions between the metal ion and the ligand. The five \(d\) orbitals in an isolated gaseous metal atom/ion have same energy, i.e., they are degenerate. This degeneracy is maintained if a spherically symmetrical field of negative charges surrounds the metal atom/ion. However, when this negative field is due to ligands in a complex, it becomes asymmetrical and the degeneracy of the \(d\) orbitals is lifted. It results in splitting of the \(d\) orbitals. The pattern of splitting depends upon the nature of the crystal field.
Which of the following represents the correct pair?

In a LPP, let \(R\) be the feasible region.
A. If R is unbounded then a max./min. value of objective function may not exist.
B. If R is bounded then a max. and min. value of objective function will always exist.
C. If a solution exists, it must occur at a corner point.
D. If R is bounded then max. will exist but min. may or may not exist for an objective function.
Choose the correct answer from the options given below: