Arrange the following compounds towards increasing \(S_{N}2\) reaction?
(A) n-Butyl bromide
(B) Isobutyl bromide
(C) Tertiary butyl bromide
(D) Sec-Butyl bromide
Choose the correct answer from the options given below:

Read the passage carefully and answer the questions
The osmotic pressure is one of the four colligative properties which depends on the number of particles of solute in the solution, irrespective of their nature. The osmotic pressure is equal to the product of concentration, gas constant and temperature. It is the most commonly used property for the determination of the molar mass of biomolecules. In many situations, the molecules get dissociated or associated when they are dissolved in a solvent, thereby changing the number of molecules in the solution. As a result, an abnormal molecular mass is obtained. The extent of dissociation or association is given by van't Hoff factor (i), which is the ratio of normal molar mass to abnormal molar mass. It is related with the degree of association or ionization. The introduction of van't Hoff factor in the osmotic pressure equation modifies the equation.
The osmotic pressure of a 0.1 M aqueous solution of \(K _2 SO _4\) is 4.92 atmat300 K. The percentage ionization of the salt is: Given \(R =0.082 atm L K ^{-1} mol^{-1}\)

The rate constant for the first order decomposition of \(H _2 O _2\) is given by:\[ \log k=15-\frac{1.2 \times 10^2}{T}\] The activation energy ( \(E_a\) ) would be:

Read the passage carefully and answer the questions:
The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral complex to yield three orbitals of lower energy, \(t_{2 g}\) set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_0\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_{\circ}\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_{\circ}\) and pairing energy, \(P\) (energy required for electron pairing in a single orbital) determine the formation of low spin ( \(\Delta_{\circ}>P\) ) or high spin ( \(\Delta_{\circ}<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
Which of the following complex is not expected to be coloured?

Answer the question on the basis of passage given below:
In the periodic table, the d-block contains the elements of group \(3\) to \(12\). The d-orbitals are progressively filled in each of the four long periods. The elements of d block referred as transition metals have partly filled d orbitals and exhibit certain characteristic properties such as variety of oxidation states, formation of coloured ions, act as catalyst and show paramagnetic behaviour.
The two inner transition metals series \(4f\) and \(5f\) are known as Lanthanoids and Actinoids respectively. The lanthanoids resemble one another more closely as compared to ordinary transition elements in any series.
Highest oxidation state of manganese in fluoride is \(+4\left( MnF _4\right)\) but highest oxidation state in oxides is \(+7\left( Mn _2 O _7\right)\) because:

Match List-l with List-II

List-I(Concentration term)	List-II(Formula)
(A) Mass percentage	(I) \(\frac{\text { Volume of solute }}{\text { Volume of solution }} \times 100\)
(B) Volume percentage	(II)\(\frac{\text {Moles of a component}}{\text {Total moles of all the components } \mathrm{}}\)
(C) Mole Fraction	(III) \(\frac{\text { Moles of solute }}{\text { Mass of solvent in } \mathrm{kg}}\)
(D) Molality	(IV) \(\frac{\text { Mass of solute }}{\text { Volume of solution × Density of solution }} \times 100\)

Choose the correct answer from the options given below:

The unit of rate constant of a reaction with the rate law, Rate \(=k[A]^{3 / 2}[B]^{-1}\) is

Which of the following crosses is showing a Test cross?

A 25 cm long solenoid with 100 turns carries a current of 3 A. The flux density at the center of the solenoid is

Let \(*\) be a binary operation on set \(Q\) of rational numbers given by \(a * b=a+b+a b\).
Then identity element is:

Match List - I with List - II

List - I	List - II
(A) Molarity	(I) Number of moles of solute / kilogram of solvent
(B) Molality	(II) Osmotic pressure
(C) Colligative property	(III) Number of moles of solute / litre of solution
(D) Non-ideal solution	(IV) Deviation from Raoult's Law

Choose the correct answer:

For an LPP: Maximize \(z=3 x+9 y; x \geq 0, y \geq 0\), the feasible region \(O A B\) is shown in the figure, then the other constraints are:

If a set \(P\) contains 5 elements and the set \(Q\) contains 8 elements, then the number of one-one functions from \(P\) to \(Q\) is: