20 g of binary electrolyte (Molecular mass = 100) are dissolved in 500 g of water. The freezing point of the solution is -0.74°C and \(K_f \) is 1.86 K kg mol⁻¹. The degree of ionisation of the electrolyte is:

The IUPAC name of the following compound is:

How much calcium will be obtained when 4 Faradays of electricity is passed through molten CaCl2?

Answer the question on basis of passage given below :
P block elements are placed in groups 13 to 18 of the periodic table. Their valence shell electronic configuration is \(ns^2 np^{1-6}\). Group 16 of the p block elements are known as the group of chalcogens having \(ns^2 np^4\) as their general electronic configuration. They exhibit number of oxidation states but the stability of \(- 2\) oxidation state decreases down the group. They are sometimes also known as group of chalcogens as the name is derived from the Greek word for brass and points to the association of sulphur and its congeners with copper. Their ionisation enthalpy decreases down the group. Oxygen shows anomalous behaviour due to its small size and high electronegativity.
Match the oxidation state of phosphorous in the following compounds to their counter parts in List II.

List - I (Compounds)	List - II (Oxidation States)
(A) \(H _3 PO _2\)(Hypophosphorous acid)	(I) +3
(B)\(H _4 P _2 O _6\)(Hypophosphoric acid)	(II) +5
(C) \(H _3 PO _3\)(Phosphorous acid)	(III) +1
(D)\(H _3 PO _4\)(Orthophosphoric acid)	(IV) +4

Choose the correct answer from the options given below :

The reaction for the conversion of phenol into salicylic acid is known as

The reaction of acidified KMnO 4 and NO 2 gives:

The chemical formula of mineral beryl is

The rate of biomass production is called productivity and it is expressed in terms of:

If \(A=\left[\begin{array}{cc}2 & 3 \\ 5 & -2\end{array}\right]\) then:

Two identical wires X and Y, each of length L carry the same current I. Wire X is bent to form a square of side a and wire Y is bent into a circle of radius R. If \( B_x \) and \( B_y \) are the values of the magnetic field at the centres of the square and the circle respectively, the ratio \( B_x : B_y \) is

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, 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. 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.
Which of the following represents the correct pair?

The value of \(x\) for which the slope of the curve \(y=-x^3+3 x^2+x^2+9 x-27\) is maximum, is:

Two circular coils of diameter 10 cm and 20 cm, carrying equal currents have the same number of turns. The ratio of magnetic fields produced at the center of coils, respectively will be