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 freesing 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.
Based on solute-solvent interactions, arrange the following in order of increasing solubility in n-octane.
(A) Cycloheptane
(B) NaCl
(C) \(CH _3 OH\)
(D) \(CH _3 CN\)
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Match List-l with List-II

List-l (Compound/Elements)	List-II (Uses)
(A) Magnesium based alloy is constituent of	(I) Bullets
(B) Lanthanoid oxide	(II) Petroleum cracking
(C) Mixed oxides of Lanthanoids are employed in	(III) Television screen
(D) Misch metal	(IV) Lanthanoid metal and iron

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What is the total number of structural isomers possible for the compound with molecular formula \(C _4 H _9 Br\)?

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Organic compounds derived from NH3 by replacing one or more H-atoms with alkyl or aryl groups will form primary, secondary and tertiary amines. The common methods which include their preparations are reduction of nitro group, amide group and nitrile group, Gabriel phthalimide synthesis and ammonolysis of alkyl halides. Amines are basic in nature due to the presence of a lone pair of electrons on the nitrogen atom. Important chemical properties of amines include acylation, alkylation and their interaction with nitrous acid. There are various tests which can distinguish different types of amines from each other, for e.g. carbylamine test, Hinsberg's test, coupling reaction etc. Another important class of compounds which can be derived from primary amines is azo compounds. These compounds are intensely colored and widely used as dyes in textile, leather and food industries.
The final product of the following reaction is:
\(C _6 H _5 NH _2 \xrightarrow[\text { (iii) } NaNO _2 / Cu , \Delta]{\text { (i) } HNO _2}\) (ii) \(HBF _4\) ?

Which of the pair(s) are correctly matched?

Colloid Type	Example
(A) Liquid in solids	Gem stones
(B) Solid in liquid	Cell fluids
(C) Solid in Gas	Mist
(D) Gas in liquid	Pumice stone
(E) Liquid in Solid	Butter

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Identify " \(Y\) " in the following reaction:
\(R-NH_2+HNO_2 \xrightarrow{NaNO_2+HCl} X\xrightarrow{H_2 O} Y+N_2+HCl\)

Interstitial compounds are formed when small atoms like H, C, or N are trapped in the crystal lattice of metal. Which of the following statements are true about the interstitial compounds?
(A) Interstitial compounds have higher melting points than the pure metals.
(B) Interstitial compounds are very soft.
(C) Interstitial compounds are very reactive.
(D) Interstitial compounds retain metallic conductivity.
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Match the List-l with List-II

List-l (Character)	List-II (Recessive Trait)
(A) Flower Colour	(I) Green
(B) Seed colour	(II) Yellow
(C) Pod colour	(III) Constricted
(D) Pod shape	(IV) White

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\(\int \frac{f^{\prime}(x)}{f(x) \log _e[f(x)]} d x\) is equal to

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Carbonyl compounds such as aldehydes, ketones, and carboxylic acids play an important role in the biochemical process of plants and animal kingdom. Many aldehydes and ketones find applications in dye, perfumery and other industries.
The carbonyl carbon atom is \(s p^2\)-hybridized forming three sigma and one pi-bond with oxygen.
C-O bonds are polar bond due to high electronegativity of oxygen than carbon.
Hence the carbonyl carbon behaves as an electrophilic center and oxygen as a nucleophilic centre.
Primary and secondary alcohols yield aldehydes and ketones respectively upon oxidation with variety of oxidizing agents.
The boiling points of aldehydes and ketones differ from hydrocarbons and ethers.
Aldehydes and ketones undergo nucleophilic addition reaction due to presence of electrophilic carbonyl carbon.
Nucleophile and a proton add across the carbon oxygen double bond.
Identify the product Y in the following reaction.
\(CH_3-CH=CH-CH_2 OH \xrightarrow{\text { Pyrididium Chlorochromate }} Y\)

The magnetic flux passing perpendicular to the plane of a coil is changing according to the equation \( \Phi = 6t^2 + 7t + 1 \) where \( \Phi \) is in mWb and t is in seconds. The magnitude of induced emf at t = 2 s is:

Intermolecular hydrogen bonding is observed between chloroform and acetone.
Therefore, their binary solution will_
(A) Show positive deviation from Raoult's law
(B) Show negative deviation from Raoult's law
(C) Obey Raoult's law
(D) Show decrease in vapor pressure
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A bag contains 4 red and 6 black balls. Two balls are drawn in succession without replacement. The probability that the first is red and the second is black is