The conductivity of a 0.001 \(\mathrm{mol} \mathrm{L}^{-1}\) solution of a weak monobasic acid is \(4.0 \times 10^{-5} \mathrm{~S} \mathrm{~cm}^{-1}\). Calculate its dissociation constant if \(\Lambda_m^{\circ}\) for the weak acid is \(400.0 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\).

Complete the following reaction.
\(\left( C _6 H _{10} O _5\right)_n+n H _2 O \xrightarrow[393 K, 2-3 atm]{ H ^{+}} ?\)

The function of the enzymes in various chemical reactions:

The zwitter ion formed in an aqueous solution of glycine is

Match the complexes given in List - I with the geometry given in List - II

List - I (Complex)	List - II (Geometry)
(A) \(\left[ NiCl _4\right]^{2-}\)	(I) Tetrahedral, paramagnetic
(B) \(\left[ Ni ( CN )_4\right]^{2-}\)	(II) Square planer, diamagnetic
(C) \(\left[ CoF _6\right]^{3-}\)	(III) Octahedral, diamagnetic
(D) \(\left[ Co \left( NH _3\right)_6\right]^{3+}\)	(IV) Octahedral, paramagnetic

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The dehydration of alcohol follows the order :

The reagents used for dehydration of alcohols are:
(A) Concentrated \(H _2 SO _4\)
(B) Phosphoric acid
(C) Alumina
(D) Anhydrous \(ZnCl _2\)
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The marginal cost (MC) and marginal revenue (MR) functions of a product are \(M C=20+\frac{x}{20}\) and \(M R=30\) respectively. If the fixed cost is 200 , then the maximum value of the profit is :

Which of the following compounds comprise of a phenolic group?
(A) Salicylic acid
(B) Salicylaldehyde
(C) Cresol
(D) Catechol
Choose the correct answer from the options given below :

Match List-I with List-II

List-I (Terms)	List-II (Features)
(A) Natality	(I) Exit of individuals
(B) Mortality	(II) Entry of individuals
(C) Immigration	(III) Death rate
(D) Emigration	(IV) Birth rate

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Read the passage carefully and answer the Questions:
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.
The spin only magnetic moment of \(\left[ MnBr _4\right]^{2-}\) is 5.9 BM. Predict the geometry of the complex ion?

If \(A=\left[\begin{array}{ccc}2 & -1 & -2 \\ 0 & 2 & -1 \\ 3 & -5 & 0\end{array}\right]\), then the value of \(\operatorname{det}(\operatorname{adj}(2 A))\) is :

A binary ideal solution of AB type has :