If \(KMnO_4\) is reduced by oxalic acid in the acidic medium, then the oxidation number of \(Mn\) changes from:

Match List - I with List - II.

List - I	List - II
(A) RNA	(I) Glycogen
(B) Invert sugar	(II) lactose
(C) Animal starch	(III) Ribose
(D) Milk Sugar	(IV) Sucrose

Choose the correct answer from the options given below :

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.
The bond angle in \(PH_3\) is less than \(PH_4^+\) due to :

Match List-l with List-II

List-I	List-II
(A) Kolbe's reaction	(I) Preparation of symmetrical and unsymmetrical ethers
(B) Williamson synthesis	(II) Preparation of Salicylic acid
(C) Lucas test	(III) Organo-Magnesium halide
(D) Grignard's reagent	(IV) Distinction between different types of alcohols

Choose the correct answer from the options given below:

Consider the following statements regarding osmotic pressure:
(A) Molar mass of a protein can be determined using the osmotic pressure method.
(B) The osmotic pressure is proportional to the molarity.
(C) Reverse osmosis occurs when a pressure larger than osmotic pressure is applied to the concentrated solution side.
(D) Edema occurs due to retention of water in tissue cells as a result of osmosis.
Choose the correct statements with reference to osmotic pressure:

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.
\[Itext\{Osmotic pressure\} ((Pi) \text\{of a solution does not depend upon\}\}]

The product in the following reaction is

Read the passage carefully and answer the questions
The chemical reactions proceed at different rates which depend on various factors like concentration, temperature, etc. Rate law is an expression which relates the rate of reaction with concentration of various reacting species in the reaction. For a first order reaction, the concentration of the reactant after time \(t\) is related with its initial concentration by the relation, \(C=C_0 e^{-k t}\). The rate constants for different orders have different expressions. For a first order reaction, \(k=\frac{2.303}{t} \log \frac{a}{a-x}\), where \(a\) is the initial concentration and \(x\) is the extent of reaction.
A reaction which is first order with respect to the reactant \(A\) has a rate constant of \(6 min^{-1}\). If the reaction is started with \([A]=5.0 mol L ^{-1}\) when would \([A]\) reach the value of \(0.05 mol L ^{-1}\)

Amniocentesis is used to detect the :

If \(x=\frac{a}{1+t}\) and \(y=\frac{a}{(1+t)^2}\) where \(a>0\), then \(\frac{d^2 y}{d x^2}\) at \(t=1\) is:

A rod of 20 cm lying along the horizontal East-West direction falls freely from the roof of a building of height 3 m. If the horizontal component of the Earth's magnetic field is 0.36 G over the region, find the magnitude of Induced emf when it reaches the bottom of the building (take \( g = 10 \text{ m/s}^2 \) at that place)

In the circuit shown below- a capacitor is being used in an AC circuit. A magnetic needle shows deflection, both at point P and Q. Which of the options among the following correctly specifies the reason for the presence of magnetic field at both the points?

Hugo de Vries's work on mechanism of evolution states that evolution is