Answer the question on the basis of passage given below:
Proteins are the polymers of about twenty different a-amino acids which are linked by peptide bonds. Proteins perform various structural and dynamic functions in the organisms. Proteins which contain only a-amino acids are called simple proteins. The secondary or tertiary structure of proteins get disturbed on change of pH or temperature and they are not able to perform their functions. This is called denaturation of proteins. Enzymes are biocatalysts which speed up the reactions in biosystems. Vitamins are accessory food factors required in the diet. They are classified as fat soluble (A, D, E and K) and water soluble (B group and C). Deficiency of vitamins leads to many diseases. Nucleic acids are the polymers of nucleotides which in turn consist of a base, a pentose sugar and phosphate moiety.Nucleic acids are responsible for the transfer of characters from parents to offsprings. There are two types of nucleic acids DNA and RNA. DNA contains a five carbon sugar molecule called 2-deoxyribose whereas RNA contains ribose.
During denaturation of proteins:

Match List-I and List-II

List-I	List-II
A. Elementary reactions	I. No energy of activation
B. Complex reactions	II. Single step
C. Free radical combination	III. High energy of activation
D. Slow reactions	IV. Several elementary steps

Choose the correct answer from the options given below:

Match List - I with List - II.

List - I	List - II
(A) Antifreeze used in car engine	(I) Phenol
(B) Starting material for picric acid	(II) Glycerol
(C) Wood spirit	(III) Ethylene glycol
(D) By product of soap industry used in cosmetics	(IV) Methanol

Choose the correct answer from the options given below :

When 1 mol of CrCl\(_3\) \(\cdot\) 6H\(_2\)\(O\) is treated with excess AgNO\(_3\), 3 mol of AgCl are obtained.
The conductivity of the solution will correspond to:

We have four aqueous solution labelled as :
(A) 0.1 M NaCl
(B) 0.01 M NaCl
(C) \(0.01 M BaCl _2\)
(D) 0.01 M Sucrose
Choose the correct increasing order of Van't Hoff factor from the options given below :

How does the osmotic pressure of a solution vary with the temperature?

The amines which are soluble in water
(A) Methanamine
(B) Ethanamine
(C) Propanamine
(D) Benzylamine
Choose the correct answer from the options given below:

A metallic wire of uniform area of cross section has a resistance \(R\), resistivity \(\rho\) and power rating P at V volts. The wire is uniformly stretched to reduce the radius to half the original radius. The values of resistance, resistivity and power rating at V volts are now denoted by \(R ^{\prime}, \square\) ' and \(P ^{\prime}\) respectively. The corresponding values are correctly related as ___________ . Fill in the blank with the correct answer from the options given below

A nucleus with mass number 240 and binding energy per nucleon 7.6 MeV splits into two fragments each of mass number 120 with binding energy per nucleon 8.5 MeV. The amount of energy released in this process will be :

For which of the following disease, the transgenic animal model has not been developed ?

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.

At \(6 \%\) converted quarterly, the present value of a perpetuity of ₹ 900 payable at the end of each quarter is :

\(\int_0^{\frac{\pi}{2}} \sin 2 x \log (\tan x) d x=\)