Question based on the following passage:
P-Block elements are placed in group 13 to 18 in the periodic table. Group 15 is nitrogen family.
Nitrogen can react with hydrogen, oxygen, halogens etc. It shows multiple oxidation states in its various oxides i.e. \(N_2O, N_2O_3, N_2O_5\) etc. Important allotropic forms of phosphorus are white, red and black phosporus. Various compounds of phosphorus are phosphine, \(PCl_3, PCl_5\) and oxoacids of phosphorus. Oxidation states \(+1\) to \(+5\) are seen in various oxoacids of phosphorus. Group 17 elements are collectively known as halogens. Bond dissociation enthalpy of \(F_2\) is smaller than \(Cl_2\).
The gases present in group 18 are chemically unreactive, they form only few compounds. Neil Bartlett (in 1962) observed the reaction of a noble gas. Since then, many noble gas compounds have been synthesised.
Amongst all noble gases, only Xe can form large number of compounds because :
(A) Its size is similar to that of Pt
(B) Its \(IE_1\) is almost identical with that of \(O_2\)
(C) Xe is not inert
(D) Xe is very large in size
(E) It has great affinity with \(PtF _6^{-}\)
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Estradiol hormone is responsible for:

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Nearly all the transition elements display typical metallic properties such as high tensile strength, ductility, malleability, high thermal and electrical conductivity and metallic lustre. The transition metals (with the exception of Zn, Cd and Hg) are very hard and have low volatility. Their melting and boiling points are high. They have high enthalpies of atomization. lons of the same charge in a given series show progressive decrease in radius with increasing atomic number. However, the variation within a series is quite small. The filling of 4f before 5d orbital results in a regular decrease in atomic radii called Lanthanoid contraction which essentially compensates for the expected increase in atomic size with increasing atomic number. The net result of the lanthanoid contraction is that the second and the third d series exhibit similar radii (e.g., Zr 160 pm, Hf 159 pm) and have very similar physical and chemical properties. There is an increase in ionisation enthalpy along each series of the transition elements from left to right. The first ionisation enthalpy, in general, increases, but the magnitude of the increase in the second and third ionisation enthalpies for the successive elements, is much higher along a series. One of the notable features of a transition elements is the great variety of oxidation states these may show in their compounds.
Among \(\mathrm{Cr}(\mathrm{Z}=24), \mathrm{Co}(\mathrm{Z}=27), \mathrm{Mn}(\mathrm{Z}=25)\) and \(\mathrm{Fe}(\mathrm{Z}=26)\); which will show the maximum variety of oxidation states?

Match List - I with List - II.

List - I (Polymer)	List - II (Monomer)
(A) Nylon 2-nylon 6	(I) Ethylene glycol and Benzene-1,2-dicarboxylic acidne
(B) Neoprene	(II) Glycine and Amino caproic acid
(C) Glyptal	(III) Adipic acid and Hexamethylene diam
(D) Nylon 6, 6	(IV) 2-chlorobuta-1,3-diene

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The conductivity of electrolytic solutions does not depend upon

Match the complex given in List - I with the number of unpaired electrons given in List - II

List-I (Complex)	List-II (Number of unpaired electrons (n))
(A) \(\left[ NiCl _4\right]^{2-}\)	(I) 5
(B) \(\left[ Co \left( NH _3\right)_6\right]^{3 +}\)	(II) 1
(C) \(\left[ FeF _6\right]^{3-}\)	(III) 2
(D) \(\left[ Fe ( CN )_6\right]^{3-}\)	(IV) \(0\)

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Read the following passage given below and answer the question.
Production of electricity by thermal plants is not very efficient method. It is now possible to make cells in which reactants are fed continuously to the electrodes and products are also removed continuously. One of the most successful fuel cells is hydrogen fuel cell.
In Hydrogen fuel cell, which gas is undergoing oxidation?

The function \(f(x)=\frac{x-2}{x+1}, x \neq-1\) is increasing when (Where \(R\) is a set of real numbers:

The strongest oxidising and reducing agents respectively are :

Groups of individuals in a well-defined geographical area, sharing or competing for similar resources, having the potential to interbreed, are the characteristics of :

Match List-I with List-II

List-I	List-II
(A) Gyromagnetic ratio	(I) \( 4 \times 10^{-5} \text{ T} \)
(B) Permeability of free space	(II) \( 9.27 \times 10^{-24} \text{ Am}^2 \)
(C) Earth's magnetic field at equator	(III) \( 8.8 \times 10^{10} \text{ C/kg} \)
(D) Bohr magneton	(IV) \( 12.56 \times 10^{-7} \text{ TmA}^{-1} \)

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The number of square matrices of order 2 using numbers 1 and -1 exactly once and the number 0 twice is :

\(\int \frac{x+\sqrt{x}}{2 \sqrt{x}} d x=\)