Match List - I with List - II

List - I (Name)	List - II (Use)
(A) Carbon tetrachloride	(I) Pesticide
(B) DDT	(II) Solvent
(C) lodoform	(III) Refrigerant
(D) Freons-12	(IV) Antiseptic

choose the correct answer from the options given below:

\(2 A+B \rightarrow A_2 B\)
For the above reaction, the rate law equation is, rate \(=k[A][ B ]^2\) with \(k=2.0 \times 10^{-6} mol^{-2} L^2 s^{-1}\). If the initial concentrations of \(A\) and \(B\) were \(0.1 mol L ^{-1}\) and \(0.2 mol L ^{-1}\), respectively, the rate of reaction after \([A]\) is reduced to 0.06 \(mol L ^{-1}\) will be

Answer the question on the basis of passage given below :
Living systems are made up of various complex bio-molecules like carbohydrates, proteins, nucleic acids, lipids etc. Proteins and carbohydrates are essential constituents of our food. Carbohydrates are primarily produced by plants and form a very large group of naturally occurring organic compounds. Some common examples are cane sugar, glucose, starch etc.
Which of the following is a structural component of starch?

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.
What is the value of the van't Hoff factor for\(NaCl , K _2 SO _4\) and KCl,respectively?

Answer the question on the basis of passage given below:
Adsorption is the phenomenon of attracting and retaining the molecules of a substance on the surface of a solid resulting into a higher concentration on the surface than in the bulk. The substance adsorbed is known as adsorbate and the substance on which adsorption takes place is called adsorbent. In physisorption adsorbate is held to the adsorbent by weak van der Waals forces and in chemisorption by strong chemical bond.In the given reaction, the catalyst used is:
\(2 H_2(g)+O_2(g) \longrightarrow 2 H_2 O(l)\)

\(\text{CH}_3-\text{CH}(\text{Br}) - \text{CH}_2 - \text{CH}_3 \xrightarrow{\text{alc. KOH}} \text{A} \xrightarrow{\text{Br}_2} \text{CH}_3-\text{CH}(\text{Br}) - \text{CH}(\text{Br}) - \text{CH}_3 \text{(B)}\)
\(\text{(B)} \xrightarrow{\text{alc. KOH}} \text{CH}_3-\text{C} = \text{C} – \text{CH}_3 \text{(C)}\)
\(\text{(C)} \xrightarrow{\text{Hg}^{2+}/\text{H}^+\atop \text{H}_2\text{O}} \text{D}\)
A and D respectively are :

Answer the question on basis of passage given below :
Molecular nitrogen is very little reactive chemically. During lightning discharge, atmospheric nitrogen and oxygen combines to form nitric oxide which also combines with oxygen to form nitrogen dioxide. Both NO and \(NO _2\) constitute smog which is very poisonous. It can cause burning sensation in the eyes and adversely affect respiratory system.
What are the constituents of photo chemical smog ?

When copper and germanium are cooled from room temperature to 100 K, then :

If \(\vec{a}=2 \hat{i}-\hat{j}+3 \hat{k}\) and \(\vec{b}=2 \hat{i}+2 \hat{j}+\hat{k}\) then
Match List-I with List-II

List-I	List-II
(A) Projection of \(\vec{a}\) on \(\vec{b}\) is	(I) \(-7 \hat{i}+4 \hat{j}+6 \hat{k}\)
(B) \(\vec{a} \times \vec{b}\) is	(II) \(\frac{1}{\sqrt{101}}(-7 \hat{i}+4 \hat{j}+6 \hat{k})\)
(C) Unit vector along \(\vec{a}+\vec{b}\) is	(III) \(\frac{5}{3}\)
(D) Unit vector perpendicular to both \(\vec{a}\) and \(\vec{b}\) is	(IV) \(\frac{1}{\sqrt{33}}(4 \hat{i}+\hat{j}+4 \hat{k})\)

Choose the correct answer from the options given below :

The angle between the line \(2 x=3 y=z\) and \(x\) - axis is :

Which of the following is an example of homologous organs?

Match List-I with List-II
An urn contains 4 white and 3 red balls. In a random draw of three balls, the probability of

List-I	List-II
(A) No red ball is	(I) \(\frac{12}{35}\)
(B) Only 1 red ball is	(II) \(\frac{1}{35}\)
(C) Exactly 2 red balls is	(III) \(\frac{4}{35}\)
(D) No white ball is	(IV) \(\frac{18}{35}\)

Choose the correct answer from the options given below :

If \(x\sqrt{1+y} + y\sqrt{1+x} = 0\), then \(\frac{dy}{dx}\) is: