Which of the following reactions will give 2-propanol ?
(A) \(CH _3- CH _2- COOH \xrightarrow[\text { (II) } H _2 O ]{\text { (I) } LAHH _4}\)
(B) \(\quad CH _2= CH - CH _3 \xrightarrow{\text { Neutral } KMnO _4}\)
(C) \(CH _2= CH - CH _3+ H _2 O \xrightarrow{ H ^{+}}\)
(D) \(CH _2 O \xrightarrow[ H _2 O ]{ C _2 H _5 MgI }\)
Choose the correct answer from the options given below :

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.
Select the incorrect statement about the Crystal field splitting in octahedral complexes.

The number of peptide linkages in a tripeptide containing three amino acids is :

The activation energy for a reaction at a temperature \(T\) K was found to be \(2.303 RT\) J/mol.
The ratio of the rate constant to Arrhenius factor is:

Arrange the following amines in increasing order of basicity in aqueous solution
(A)\(\left( CH _3\right)_2 NH\)
(B) \(CH _3 NH _2\)
(C)\(\left( CH _3\right)_3 N\)
(D) \(NH _3\)
Choose the correct answer from the options given below :

What is the coordination number of Fe in \(\left[ Fe ( CO )_5\right]\) and \(\left[ Fe \left( C _2 O _4\right)_3\right]^{3-}\) respectively?

The Galvanic cells will behave like an electrolytic cell when

When a slab of insulating material 4 mm thick is introduced between the plates of a parallel plate capacitor of separation 4 mm , it is found that the distance between the plates has to be increased by 3.2 mm to restore the capacity to its original value. The dielectric constant of the material is

Which of the following statements are true
A. \(\vec{a}\) and \(-\vec{a}\) are always collinear.
B. Two collinear vectors are always equal in magnitude.
C. Two vectors having the same magnitude are equal.
D. Two collinear vectors having the same magnitude are equal.
E. If \(\hat{p}\) is a unit vector along line \(l\) then the projection of vector \(\vec{a}\) on line \(l\) is given by \(\vec{a} \cdot \hat{p}\)
Choose the correct answer from the options given below:

In the systematic study of the photoelectric effect experiment, the stopping potential depends (for a given metal):

The set of positive integers less than 50 forming the equivalence class of 6 modulo 9 is given by :

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:

Two positive numbers whose sum is 60 and the product of the square of one number and other number is maximum are: