The magnetic behaviour of manganate ion and permanganate ions, respectively, are

Mercury is not considered as transition metal however it has tendency to react with chlorine to form chlorides \(X\) and \(Y\).
\(X\) reacts with \(K I\) to give red ppt while \(Y\) doesn't react. On the contrary, \(Y\) reacts with \(NH _4 OH\) to give a black ppt. Predict the formula of \(X\) and \(Y\) :

Read the passage carefully and answer the questions
Carbohydrates are naturally formed organic compounds from various plants. The common chemical formula, \(C _x\left( H _2 O \right)_y\), was considered as hydrates of carbon to derive the various carbohydrates. For instance, the general formula for glucose ( \(C _6 H _{12} O _6\) ) easily fits into the above formula. Carbohydrates also called saccharides are classified on the basis of their behavior towards hydrolysis. Monosaccharides cannot be hydrolyzed further to simpler units of polyhydroxy aldehyde or ketones. About 20 monosaccharides are known to occur in nature. Carbohydrates that yield large number of monosaccharide units are called polysaccharides. Amino acids contain ( \(- NH _2\) ) and ( - COOH ), which can be classified in various forms. Proteins are polymers of alpha amino acids which are connected to each other by a peptide bond or peptide linkage. When a native protein is subjected to physical change, its globules unfold and helix get uncoiled and the protein loses its biological activity. The protein is said to be denaturated.
The peptide linkage formed between the reaction of glycine and alanine is represented as

Choose the correct statement.

The properties which depend on the number of solute particles irrespective of their nature relative to the total number of particles in the solution are called colligative properties. These are relative lowering of vapour pressure of the solvent, depression of freezing point of the solvent, elevation of boiling point of the solvent and osmotic pressure of the solution. All of these properties help in calculating the observed molar mass of the solute.
Determination of osmotic pressure is considered best for the determination of molecular mass of the solute.
A 1 litre solution of glucose containing 36 g of it has an osmotic pressure of 4.98 bar at 300 K .
At the same temperature, the osmotic pressure of the solution is 1.52 bar.
The concentration of the solution at 1.52 bar is :

Match List-I with List-II

List-I (Compound)	List-II (Use)
(A) Dichloromethane	(I) in the manufacturing of propellants for aerosol cans
(B) DDT	(II) in the production of the Freon refrigerant R-22
(C) Trichloromethane	(III) as a paint remover
(D) Tetrachloromethane	(IV) as an insecticide

Choose the correct answer from the options given below:

Match List-I with List-II

List-I (Types of solutions)	List-II (Examples)
(A) Gas in Gas solution	(I) Oxygen dissolved in water
(B) Gas in Liquid solution	(II) Copper dissolved in gold
(C) Liquid in Solid solution	(III) Mixture of oxygen and nitrogen gases
(D) Solid in Solid solution	(IV) Amalgam of mercury with sodium

Choose the correct answer from the options given below:

Which of the following elements does not show allotropy?

The integral \(\int \frac{2 x+x^3}{1+x^2} d x\) is equal to :

The sum of order and degree of the differential equation \(y=x \frac{d y}{d x}+2 \sqrt{1+\left(\frac{d y}{d x}\right)^2}\) is

A light wave has a frequency of \( 4 \times 10^{14} \, \text{Hz} \). Find the difference in its wavelengths in alcohol of refractive index 1.35 and glass of refractive index 1.5 :

In a coil of self inductance 10 H, the rate of change of current is \( 4 \text{ A s}^{-1} \). The electromotive force (emf) induced in the coil will be

Two slits are made 0.8 mm apart and the screen is placed 1.5 m away. What should be the width of each slit to obtain 8 maxima of the double slit pattern within the central maximum of the single slit pattern?