\(\Lambda_m^{\circ}\) values for electrolytes \(AB , HB\) and AD are \(120.5,300.9\) and \(80.0 S cm ^2 mol^{-1}\) respectively.
\(\Lambda_m^{\circ}\) value for HD is:

Answer the question on the basis of passage given below :
Aldehydes and ketones represent two essential classes of organic compounds which are extensively used in the synthesis of a wide variety of other organic molecules. Due to the inherent polarity of the central carbonyl group, these substances readily undergo nucleophilic addition reactions. Broadly speaking, these addition reactions can be categorized into two types: one in which simple addition of the nucleophilic reagent occurs across the \(> C = O\) bond, and the second type where the initial addition is subsequently followed by the elimination of a water molecule. A variety of ammonia derivatives, including hydroxylamine, hydraaine, phenylhydraxine, 2,4-dinitroplhemylhdrasine, and semicarbaside, all belong to this second category of reactions. These specific derivatives are fundamentally used for the identification and definitive characterization of aldehydes and ketones. Significantly, both types of nucleophilic addition reactions are strongly influenced by both steric and electronic factors. As a general rule, aliphatic aldehydes exhibit higher reactivity compared to aromatic aldehydes. The aliphatic aldehydes demonstrate the ability to reduce both Fehling's solution and Tollen's reagent, whereas aromatic aldehydes are limited to reducing only Tollen's reagent. In a similar manner to aldehydes, aromatic ketones are observed to be less reactive than aliphatic ketones towards all nucleophilic addition reactions. In a separate context, phenols and carboxylic acids both exhibit acidic properties in nature. Both classes of compounds readily dissolve in NaOH solution and cause blue litmus to turn red. However, carboxylic acids stand out as much stronger acids than phenols and thus can decompose sodium bicarbonate \(\left( NaHCO _3\right)\) with the distinct evolution of \(CO _2\) gas, a reaction which phenols do not undergo. It is important to note that both electron- donating and electron- withdrawing substituents significantly influence the acid strength of both aliphatic as well as aromatic carboxylic acids. Furthermore, unlike all other common aliphatic acids, formic acid uniquely possesses reducing properties and simultaneously does not display the typical reactions characteristic of the allyl group.
Which of the following statement(s) is/are correct?
A. Aldehydes give positive test with Tollen's reagent.
B. Ketones give positive test with Fehling's solution
C. Ketones do not react with Fehling's solution.
D. Aldehydes with Schiff's reagent restore pink colour
E. Ketones with Schiff's reagent restore pink colour.
Choose the correct answer from the options given below:

When we consider an inert electrode in a cell; which statement is not suitable for it?
(A) It provides surface either for oxidation or for reduction reaction.
(B) It does not participate in the cell reaction.
(C) It provides surface for redox reaction.
(D) It provides surface for conduction of electrons.
Choose the correct answer from the options given below:

Derive the electronic configuration of \(Ce ^{3+}\) ion by using Hund's rule.

The function of the enzymes in various chemical reactions:

Which reagent can be employed to distinguish Benzaldehyde and Propanal ?

Read the passage carefully and answer the Questions
Aldehydes, carboxylic acids and ketones are widespread in the animal and plant kingdoms.
They play a pivotal role in various biochemical processes of life. Their presence in nature adds fragrance and flavor. These compounds are widely used in food products, pharmaceuticals, paints, resins and other important product industries. These compounds are prepared by various laboratory methods, which mainly include oxidation, formylation, acylation and reduction. Due to the polar nature of the carbonyl group in aldehydes and ketones, they can exhibit different reactions like nucleophilic addition. They do exhibit redox and various condensation reactions which lead to the formation of various important compounds. On the other hand, the carboxylic acids are mainly prepared by oxidation and hydrolysis of different compounds. The carboxylic acid consists of a carbonyl group and the hydroxy group (attached to the carbonyl carbon atom). This makes it possible for the carboxylic acid to participate in various chemical reactions which involve cleavage of the C-OH bond and the O_H bond along with the reactions involving the complete -COOH group.
Identify the final product (X) of the chemical reaction obtained from the following transformation :

o-Nitrophenol is less soluble in water than p-nitrophenol because :

If \(C_{i j}\) represents the cofactor of element \(a_{i j}\) of the matrix \(A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 2 & 0 \\ 4 & 1 & 5\end{array}\right]\), then the value of \(C_{23}+C_{31}-C_{22}\) is

The ratio of radii of the nuclei with the mass numbers given as 2, 16, 54 and 128, respectively, will be

Reaction of benzaldehyde with acetophenone in the presence of methanolic NaOH yields a major stable product as

Which of the following does not involve Pt as catalyst?
(A) contact process for making \(H _2 SO _4\).
(B) Ziegler-Nata catalyst.
(C) Adams catalyst, used for reduction.
(D) catalyst to decompose \(KClO _3\) to give \(O _2\).
Choose the correct answer from the options given below:

The probability distribution of a random discrete variable is given

X	-1	0	1	2	3
P(X)	0.1	p	0.3	q	r

If it is known that \(P(X=1)\) is the mean of \(P(X=0)\) and \(P(X=2)\).Then the value of \(r\) is :