For the first order reaction :
(A) The degree of dissociation is equal to \((1 – e^{-kt})\)
(B) A plot of reciprocal concentration of the reactant v/s time gives a straight line
(C) The time taken for the completion of 75\% reaction is thrice the half life of the reaction
(D) 1st order reaction never completes
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Answer the question on basis of passage given below :
Lyophobic sols like those of metals (Au, Ag, etc) are unstable and are easily precipitated by addition of electrolytes. However, it is observed that the addition of certain lyophilic colloids like gums, soaps, gelatine, etc. to lyophobic colloids (like a metal sol) render lyophobic colloids difficult to coagulate by the addition of electrolytes. The process is known as 'protection' and the lyophilic colloids are termed as Protective colloids. It is believed that the protective action of the lyophilic colloids is due to the covering up of the particles of the lyophobic colloid by those of the lyophilic colloid.
Evidently, smaller the gold number of a protective colloid, the greater is its protective action.
Which of the following does not form a lyophilic colloid?

Which among the following is the strongest base in aqueous solution?

A galvanic cell can be converted to an electrolytic cell when

Benzene and naphthalene form an ideal solution at room temperature.
The true statements for this solution are :
A. \(\Delta\text{G}\) is positive.
B. \(\Delta\text{S}_{\text{system}}\) is positive.
C. \(\Delta\text{S}_{\text{surroundings}} = 0\).
D. \(\Delta\text{H}_{\text{mix}} = 0\).
E. \(\Delta\text{V}_{\text{mix}} = 0\).
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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 - I with List - II

List - I (Order of reaction)	List - II (Unit)
(A). Zero order reaction	(I). \(L ^2 mol^{-2} s^{-1}\)
(B). First order reaction	(II). \(mol ^{-1} L s ^{-1}\)
(C). Second order reaction	(III). \(mol L ^{-1} s^{-1}\)
(D). Third order reaction	(IV). \(s ^{-1}\)

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The integral \(I=\int \frac{e^{5 \log _0 x}-e^{4 \log _0 x}}{e^{3 \log _0 x}-e^{2 \log _0 x}} d x\) is equal to:

Match List-I with List-II (where \(c\) is an arbitrary constant)

List-I (Definite integral)	List-II (Value)
(A) \(\int_1^e \frac{\log x}{x} d x\)	(I) 4
(B) \(\int_{-2}^2 x^3\left(1-x^2\right) d x\)	(II) \(\frac{1}{2}\)
(C) \(\int_1^2 x d x\)	(III) \(0\)
(D) \(\int_{-2}^2|x| d x\)	(IV) \(\frac{3}{2}\)

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Two particles x and y having equal charge, after being accelerated through the same potential difference, enter a region of a uniform magnetic field. They describe circular paths of radii \( R_1 \) and \( R_2 \), respectively. The ratio of the mass of x to that of y is:

As astronomical telescope of ten fold angular magnification has a length of 44 cm. The focal length of the objective is:

The reagent involved in Lucas test is

The total number of sigma bonds present in \(P _4 O _{10}\) are: