The correct statements for the activation energy of a reaction are:
(A) Activation energy is the energy difference between the activated complex and the total energy of the reactants.
(B) Higher is the activation energy, the faster is the rate of reaction.
(C) Catalyst increases the rate of the reaction by following the path of lower activation energy.
(D) In the Arrhenius equation, \(E_a\) corresponds to the activation energy
Choose the correct answer from the options given below :

Gabriel synthesis is used for the synthesis of:

Reduction of nitrobensene by which of the following reagent gives aniline?
(A) \(Sn / HCl\)
(B) \(Fe / HCl\)
(C) \(H _2- Pd\)
(D) \(Sn / NH _4 OH\)
Choose the correct answer from the options given below:

The increasing order of osmotic pressure of 0.1 M aqueous solution of the following is:
(A) \(MgCl _2\)
(B) NaCl
(C) \(NH _2 CONH _2\)
(D) \(K _3\left[ Fe ( CN )_6\right]\)
Choose the correct answer from the options given below:

Werner was the first to describe the bonding features in coordination compounds. But his theory could not answer basic questions like :
(i) Why only certain elements possess the remarkable property of forming coordination compounds ?
(ii) Why the bonds in coordination compounds have directional properties ?
(iii) Why coordination compounds have characteristics magnetic and optical properties ?Many approaches have been put forth to explain the nature of bonding in coordination compounds viz. Valence Bond Theory (VBT), Crystal Field Theory (CFT), Ligand Field Theory (LFT) and Molecular Orbital Theory (MOT).
We shall focus our attention on elementary treatment of the application of VBT and CFT to coordination compounds.
According to this theory, the metal atom or ion under the influence of ligands can use its ( \(n -1\) )d, ns np or ns, np, nd 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.
Predict the shape of \(\left[ Ni ( CO )_4\right]\) on the basis of VBT :

Read the passage carefully and answer
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.
In tetrahedral coordination complexes, low-spin configurations are rare because:

Which of the following statement(s) is correct ?
(A). Keratin is an example of fibrous protein.
(B). Fibrous proteins are water-soluble, while globular proteins are water-insoluble.
(C). Polypeptide chains in fibrous proteins run parallel and are held together by hydrogen and disulphide bonds.
(D). Insulin and albumins are common examples of globular proteins.
Choose the correct answer from the options given below:

In a series LR circuit, the inductive reactance is equal to the resistance R of the circuit. An emf \( E = E_0 \cos \omega t \) is applied to the circuit. The average power dissipated in one cycle is :

In Octahedral coordination entities :

A generator develops an e.m.f of 150 V and has a terminal potential difference of 125 V, when the armature current is 50 A, the resistance of armature will be

Read the paragraph given below and answer the question.
Insulin used for diabetes was earlier extracted from slaughtered cattle and pigs. Insulin from an animal source, though caused some patients to develop allergy or other type of reactions. Insulin consists of two short polypeptide chains: chain A and chain B, that are linked bridges. In mammals, including human, insulin is synthesised as a pro-hormone.
Proinsulin is made up:
(A) Peptide A
(B) Free peptide
(C) Peptide B
(D) Peptide C
Choose the correct answer from the options given below :

Assuming the same rate of change continues for the following data :

Year(X)	2019	2020	2021	2022	2023
Profit in Percentage (y)	38	40	65	72	69

The equation of the straight line trend using the least square method is :

Let \(A\) and \(B\) be two invertible square matrices of same order, then which of the following is not correct?