JEE (Advanced) 2008 Paper-2

Instructions

For the following questions answer them individually

Question 51

Electrolysis of dilute aqueous NaCl solution was carried out by passing 10 milli ampere current. The time required to liberate 0.01 mol of H, gas at the cathode is (1 Faraday = 96500 C mol$$^{-1}$$)

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Question 52

Among the following, the surfactant that will form micelles in aqueous solution at the lowest molar concentration at ambient conditions is

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Question 53

Solubility product constants $$(K_{sp})$$ of salts of types $$MX, MX_2$$ and $$M_3X$$ at temperature ‘T’ are $$4.0 \times 10^{-8}, 3.2 \times 10^{-14}$$ and $$2.7 \times 10^{-15}$$, respectively. Solubilities (mol dm$$^{-3}$$) of the salts at temperature 'T' are in the order

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Question 54

STATEMENT-1: Aniline on reaction with $$NaNO_2/HCl$$ at $$0^\circ C$$ followed by coupling with $$\beta$$ - naphthol gives a dark blue coloured precipitate.
and
STATEMENT-2: The colour of the compound formed in the reaction of aniline with $$NaNO_2/HCl$$ at $$0^\circ C$$ followed by coupling with $$\beta$$ - naphthol is due to the extended conjugation.

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Question 55

STATEMENT-1: $$[Fe(H_2O)_5NO]SO_4$$ is paramagnetic.
and
STATEMENT-2: The Fe in $$[Fe(H_2O)_5NO]SO_4$$ has three unpaired electrons.

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Question 56

STATEMENT-1: The geometrical isomers of the complex $$[M(NH_3)_4Cl_2]$$ are optically inactive.
and
STATEMENT-2: Both geometrical isomers of the complex $$[M(NH_3)_4Cl_2]$$ possess axis of symmetry.

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Question 57

STATEMENT-1: There is a natural asymmetry between converting work to heat and converting heat to work.
and
STATEMENT-2: Noprocessis possible in which the sole result is the absorption of heat from a reservoir and its complete conversion into work.

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Instructions

A tertiary alcohol H upon acid catalysed dehydration gives a product I. Ozonolysis of I leads to compounds J and K. Compound J upon reaction with KOH gives benzyl alcohol and a compound L, whereas K on reaction with KOH gives only M.

Question 58

Compound H is formed by the reaction of 

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Question 59

The structure of compound I is

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Question 60

The structures of compounds J, K and L, respectively, are

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