Surface Chemistry

116 Questions
2024 JEE Mains MCQ
JEE Main 2024 (Online) 4th April Evening Shift

The adsorbent used in adsorption chromatography is/are -

A. silica gel

B. alumina

C. quick lime

D. magnesia

Choose the most appropriate answer from the options given below :

A.
C and D only
B.
A only
C.
B only
D.
A and B only
2024 JEE Mains MCQ
JEE Main 2024 (Online) 31st January Morning Shift

'Adsorption' principle is used for which of the following purification method?

A.
Chromatography
B.
Sublimation
C.
Distillation
D.
Extraction
2023 JEE Mains MCQ
JEE Main 2023 (Online) 13th April Evening Shift

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : The diameter of colloidal particles in solution should not be much smaller than wavelength of light to show Tyndall effect.

Reason R : The light scatters in all directions when the size of particles is large enough.

In the light of the above statements, choose the correct answer from the options given below:

A.
Both A and R are correct and R is the correct explanation of A
B.
A is true but R is false
C.
Both A and R are correct but R is NOT the correct explanation of A
D.
A is false but R is true
2023 JEE Mains MCQ
JEE Main 2023 (Online) 13th April Morning Shift

What happens when a lyophilic sol is added to a lyophobic sol?

A.
Film of lyophobic sol is formed over lyophilic sol.
B.
Lyophilic sol is dispersed in lyophobic sol.
C.
Film of lyophilic sol is formed over lyophobic sol.
D.
Lyophobic sol is coagulated
2023 JEE Mains MCQ
JEE Main 2023 (Online) 12th April Morning Shift

Four gases A, B, C and D have critical temperatures $5.3,33.2,126.0$ and $154.3 \mathrm{~K}$ respectively. For their adsorption on a fixed amount of charcoal, the correct order is:

A.
D > C > B > A
B.
C > B > D > A
C.
D > C > A > B
D.
C > D > B > A
2023 JEE Mains MCQ
JEE Main 2023 (Online) 10th April Evening Shift

Ferric chloride is applied to stop bleeding because -

A.
$\mathrm{FeCl}_{3}$ reacts with the constituents of blood which is a positively charged sol.
B.
Blood absorbs $\mathrm{FeCl}_{3}$ and forms a complex.
C.
$\mathrm{Cl}^{-}$ ions cause coagulation of blood.
D.
$\mathrm{Fe}^{3+}$ ions coagulate blood which is a negatively charged sol.
2023 JEE Mains MCQ
JEE Main 2023 (Online) 10th April Morning Shift

The enthalpy change for the adsorption process and micelle formation respectively are

A.
$\mathrm{\Delta H_{ads} > 0~and~\Delta H_{mic} < 0}$
B.
$\mathrm{\Delta H_{ads} > 0~and~\Delta H_{mic} > 0}$
C.
$\mathrm{\Delta H_{ads} < 0~and~\Delta H_{mic} < 0}$
D.
$\mathrm{\Delta H_{ads} < 0~and~\Delta H_{mic} > 0}$
2023 JEE Mains MCQ
JEE Main 2023 (Online) 8th April Morning Shift

Which of the following represent the Freundlich adsorption isotherms?

JEE Main 2023 (Online) 8th April Morning Shift Chemistry - Surface Chemistry Question 5 English 1JEE Main 2023 (Online) 8th April Morning Shift Chemistry - Surface Chemistry Question 5 English 2

Choose the correct answer from the options given below:

A.
B, C, D only
B.
A, B only
C.
A, B, D only
D.
A, C, D only
2023 JEE Mains MCQ
JEE Main 2023 (Online) 1st February Evening Shift

In figure, a straight line is given for Freundrich Adsorption ($y=3x+2.505$). The value of $\frac{1}{n}$ and $\log \mathrm{K}$ are respectively.

JEE Main 2023 (Online) 1st February Evening Shift Chemistry - Surface Chemistry Question 26 English

A.
0.3 and log 2.505
B.
3 and 2.505
C.
3 and 0.7033
D.
0.3 and 0.7033
2023 JEE Mains MCQ
JEE Main 2023 (Online) 1st February Morning Shift

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R

Assertion A: Amongst $\mathrm{He}, \mathrm{Ne}, \mathrm{Ar}$ and $\mathrm{Kr}$; 1$\mathrm{g}$ of activated charcoal adsorbs more of $\mathrm{Kr}$.

Reason R: The critical volume $\mathrm{V}_{\mathrm{c}}\left(\mathrm{cm}^{3} \mathrm{~mol}^{-1}\right)$ and critical pressure $\mathrm{P}_{\mathrm{c}}$ (atm) is highest for Krypton but the compressibility factor at critical point $\mathrm{Z}_{\mathrm{c}}$ is lowest for Krypton.

In the light of the above statements, choose the correct answer from the options given below

A.
Both A and R are true and R is the correct explanation of A
B.
A is false but R is true
C.
Both A and R are true but R is NOT the correct explanation of A
D.
A is true but R is false
2023 JEE Mains MCQ
JEE Main 2023 (Online) 31st January Evening Shift

Match List I with List II

LIST I LIST II
A. Physisorption I. Single Layer Adsorption
B. Chemisorption II. $20-40 \mathrm{~kJ} \mathrm{~mol}^{-1}$
C. $\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \stackrel{\mathrm{Fe}(\mathrm{s})}{\longrightarrow} 2 \mathrm{NH}_{3}(\mathrm{~g})$ III. Chromatography
D. Analytical Application or Adsorption IV. Heterogeneous catalysis

Choose the correct answer from the options given below:

A.
A - III, B - IV, C - I, D - II
B.
A - II, B - III, C - I, D - IV
C.
A - II, B - I, C - IV, D - III
D.
A - IV, B - II, C - III, D - I
2023 JEE Mains MCQ
JEE Main 2023 (Online) 31st January Morning Shift

Adding surfactants in non polar solvent, the micelles structure will look like

JEE Main 2023 (Online) 31st January Morning Shift Chemistry - Surface Chemistry Question 23 English

A.
d
B.
a
C.
c
D.
b
2023 JEE Mains MCQ
JEE Main 2023 (Online) 30th January Morning Shift

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : In expensive scientific instruments, silica gel is kept in watch-glasses or in semipermeable membrane bags.

Reason (R) : Silica gel adsorbs moisture from air via adsorption, thus protects the instrument from water corrosion (rusting) and / or prevents malfunctioning.

In the light of the above statements, choose the correct answer from the options given below :

A.
Both (A) and (R) are true and (R) is the correct explanation of (A)
B.
(A) is true but (R) is false
C.
(A) is false but (R) is true
D.
Both (A) and (R) are true but (R) is not the correct explanation of (A)
2023 JEE Mains MCQ
JEE Main 2023 (Online) 29th January Evening Shift

Match List I and List II

List I List II
A. Osmosis I. Solvent molecules pass through semi permeable membrane towards solvent side.
B. Reverse osmosis II. Movement of charged colloidal particles under the influence of applied electric potential towards oppositely charged electrodes.
C. Electro osmosis III. Solvent molecules pass through semi permeable membrane towards solution side.
D. Electrophoresis IV. Dispersion medium moves in an electric field.

Choose the correct answer from the options given below :

A.
A-III, B-I, C-IV, D-II
B.
A-III, B-I, C-II, D-IV
C.
A-I, B-III, C-IV, D-II
D.
A-I, B-III, C-II, D-IV
2023 JEE Mains MCQ
JEE Main 2023 (Online) 29th January Morning Shift

Which of the following salt solutions would coagulate the colloid solution formed when $\mathrm{FeCl_3}$ is added to $\mathrm{NaOH}$ solution, at the fastest rate?

A.
10 mL of 0.15 mol dm$^{-3}$ CaCl$_2$
B.
10 mL of 0.2 mol dm$^{-3}$ AlCl$_3$
C.
10 mL of 0.1 mol dm$^{-3}$ Na$_2$SO$_4$
D.
10 mL of 0.1 mol dm$^{-3}$ Ca$_3$(PO$_4$)$_2$
2023 JEE Mains MCQ
JEE Main 2023 (Online) 25th January Morning Shift

The variation of the rate of an enzyme catalyzed reaction with substrate concentration is correctly represented by graph :

JEE Main 2023 (Online) 25th January Morning Shift Chemistry - Surface Chemistry Question 16 English

A.
(a)
B.
(b)
C.
(d)
D.
(c)
2023 JEE Mains MCQ
JEE Main 2023 (Online) 24th January Morning Shift

Statement I : For colloidal particles, the values of colligative properties are of small order as compared to values shown by true solutions at same concentration.

Statement II : For colloidal particles, the potential difference between the fixed layer and the diffused layer of same charges is called the electrokinetic potential or zeta potential.

In the light of the above statements, choose the correct answer from the options given below

A.
Both Statement I and Statement II are false
B.
Statement I is true and Statement II is false
C.
Both Statement I and Statement II are true
D.
Statement I is false but Statement II is true
2022 JEE Mains MCQ
JEE Main 2022 (Online) 29th July Evening Shift

Given below are the critical temperatures of some of the gases:

Gas Critical temperature (K)
He 5.2
CH$_4$ 190.0
CO$_2$ 304.2
NH$_3$ 405.5

The gas showing least adsorption on a definite amount of charcoal is

A.
He
B.
CH$_4$
C.
CO$_2$
D.
NH$_3$
2022 JEE Mains MCQ
JEE Main 2022 (Online) 29th July Morning Shift

$100 \mathrm{~mL}$ of $5 \%\,(\mathrm{w} / \mathrm{v})$ solution of $\mathrm{NaCl}$ in water was prepared in $250 \mathrm{~mL}$ beaker. Albumin from the egg was poured into $\mathrm{NaCl}$ solution and stirred well. This resulted in a/an :

A.
Lyophilic sol
B.
Lyophobic sol
C.
Emulsion
D.
Precipitate
2022 JEE Mains MCQ
JEE Main 2022 (Online) 28th July Morning Shift

Match List - I with List - II.

List - I
Reaction
List - II
Catalyst
(A) $4N{H_3}(g) + 5{O_2}(g) \to 4NO(g) + 6{H_2}O(g)$ (I) $NO(g)$
(B) ${N_2}(g) + 3{H_2}(g) \to 2N{H_3}(g)$ (II) ${H_2}S{O_4}(l)$
(C) ${C_{12}}{H_{22}}{O_{11}}(aq) + {H_2}O(l) \to \mathop {{C_6}{H_{12}}{O_6}}\limits_{Glu\cos e} + \mathop {{C_6}{H_{12}}{O_6}}\limits_{Fructose} $ (III) $Pt(s)$
(D) $2S{O_2}(g) + {O_2}(g) \to 2S{O_3}(g)$ (IV) $Fe(s)$

Choose the correct answer from the options given below :

A.
$(\mathrm{A})-(\mathrm{II}),(\mathrm{B})-(\mathrm{III}),(\mathrm{C})-(\mathrm{I}),(\mathrm{D})-(\mathrm{IV})$
B.
$(\mathrm{A})-(\mathrm{III}),(\mathrm{B})-(\mathrm{II}),(\mathrm{C})-(\mathrm{I}),(\mathrm{D})-(\mathrm{IV})$
C.
$(\mathrm{A})-(\mathrm{III}),(\mathrm{B})-(\mathrm{IV}),(\mathrm{C})-(\mathrm{II}),(\mathrm{D})-(\mathrm{I})$
D.
(A) - (III), (B) - (II), (C) - (IV), (D) - (I)
2022 JEE Mains MCQ
JEE Main 2022 (Online) 27th July Evening Shift

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Dissolved substances can be removed from a colloidal solution by diffusion through a parchment paper.

Reason (R) : Particles in a true solution cannot pass through parchment paper but the colloidal particles can pass through the parchment paper.

In the light of the above statements, choose the correct answer from the options given below :

A.
Both (A) and (R) are correct and (R) is the correct explanation of (A)
B.
Both (A) and (R) are correct but (R) is not the correct explanation of (A)
C.
(A) is correct but (R) is not correct
D.
(A) is not correct but (R) is correct
2022 JEE Mains MCQ
JEE Main 2022 (Online) 26th July Evening Shift

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Finest gold is red in colour, as the size of the particles increases, it appears purple then blue and finally gold.

Reason R : The colour of the colloidal solution depends on the wavelength of light scattered by the dispersed particles.

In the light of the above statements, choose the most appropriate answer from the options given below.

A.
Both A and R are true and R is the correct explanation of A.
B.
Both A and R are true but R is NOT the correct explanation of A.
C.
A is true but R is false.
D.
A is false but R is true.
2022 JEE Mains MCQ
JEE Main 2022 (Online) 25th July Evening Shift

For micelle formation, which of the following statements are correct?

A. Micelle formation is an exothermic process.

B. Micelle formation is an endothermic process.

C. The entropy change is positive.

D. The entropy change is negative.

A.
A and D only
B.
A and C only
C.
B and C only
D.
B and D only
2022 JEE Mains MCQ
JEE Main 2022 (Online) 30th June Morning Shift

TLC analysis of a mixture having 3 components (A, B, C) using silica gel as the stationary phase gave following Rf values; for A = 0.72, B = 0.48, C = 0.20.

Regarding the above observations, which one of the following statements is not correct for column chromatography of the mixture?

A.
A is the most non-polar component
B.
C is the most soluble component in mobile phase
C.
A will be eluted first
D.
C is the most strongly absorbed component
2022 JEE Mains MCQ
JEE Main 2022 (Online) 29th June Evening Shift

A 42.12% (w/v) solution of NaCl causes precipitation of a certain sol in 10 hours. The coagulating value of NaCl for the sol in 2 hours is :

[Given : Molar mass : Na = 23.0 g mol$-$1 ; Cl = 35.5 g mol$-$1]

A.
36 m mol L$-$1
B.
36 mol L$-$1
C.
1440 mol L$-$1
D.
1440 m mol L$-$1
2022 JEE Mains MCQ
JEE Main 2022 (Online) 29th June Morning Shift

Which of the following is a correct statement?

A.
Brownian motion destabilises sols.
B.
Any amount of dispersed phase can added to emulsion without destablising it.
C.
Mixing two oppositely charged sols in equal amount neutralises charges and stabilises colloids.
D.
Presence of equal and similar charges on colloidal particles provides stability to the colloidal solution.
2022 JEE Mains MCQ
JEE Main 2022 (Online) 28th June Evening Shift

Match List - I with List - II :

List-I List-II
(A) negatively charged sol (I) $F{e_2}{O_3}\,.\,x{H_2}O$
(B) macromolecular colloid (II) CdS sol
(C) positively charged sol (III) Starch
(D) Cheese (IV) a gel

Choose the correct answer from the options given below:

A.
(A) - (II), (B) - (III), (C) - (IV), (D) - (I)
B.
(A) - (II), (B) - (I), (C) - (III), (D) - (IV)
C.
(A) - (II), (B) - (III), (C) - (I), (D) - (IV)
D.
(A) - (I), (B) - (III), (C) - (II), (D) - (IV)
2022 JEE Mains MCQ
JEE Main 2022 (Online) 28th June Morning Shift

The Zeta potential is related to which property of colloids?

A.
Colour
B.
Tyndall effect
C.
Charge on the surface of colloidal particles
D.
Brownian movement
2022 JEE Mains MCQ
JEE Main 2022 (Online) 27th June Morning Shift

Match List-I with List-II

List - I List - II
(A) Lyophilic colloid (I) Liquid-liquid colloid
(B) Emulsion (II) Protective colloid
(C) Positively charged colloid (III) FeCl$_3$ + NaOH
(D) Negatively charged colloid (IV) FeCl$_3$ + hot water

Choose the correct answer from the options given below :

A.
(A) - (II), (B) - (I), (C) - (IV), (D) - (III)
B.
(A) - (III), (B) - (I), (C) - (IV), (D) - (II)
C.
(A) - (II), (B) - (I), (C) - (III), (D) - (IV)
D.
(A) - (III), (B) - (II), (C) - (I), (D) - (IV)
2022 JEE Mains MCQ
JEE Main 2022 (Online) 25th June Morning Shift

Incorrect statement for Tyndall effect is :

A.
The refractive indices of the dispersed phase and the dispersion medium differ greatly in magnitude.
B.
The diameter of the dispersed particles is much smaller than the wavelength of the light used.
C.
During projection of movies in the cinemas hall, Tyndall effect is noticed.
D.
It is used to distinguish a true solution from a colloidal solution.
2022 JEE Mains MCQ
JEE Main 2022 (Online) 25th June Morning Shift

Using very little soap while washing clothes, does not serve the purpose of cleaning of clothes, because :

A.
soap particles remain floating in water as ions.
B.
the hydrophobic part of soap is not able to take away grease.
C.
the micelles are not formed due to concentration of soap, below its CMC value.
D.
colloidal structure of soap in water is completely disturbed.
2022 JEE Mains MCQ
JEE Main 2022 (Online) 24th June Morning Shift

Given below are two statements :

Statement I : Emulsions of oil in water are unstable and sometimes they separate into two layers on standing.

Statement II : For stabilisation of an emulsion, excess of electrolyte is added.

In the light of the above statements, choose the most appropriate answer from the options given below :

A.
Both Statement I and Statement II are correct.
B.
Both Statement I and Statement II are incorrect.
C.
Statement I is correct but Statement II is incorrect.
D.
Statement I is incorrect but Statement II is correct.
2021 JEE Mains MCQ
JEE Main 2021 (Online) 1st September Evening Shift
Match List - I with List - II :

JEE Main 2021 (Online) 1st September Evening Shift Chemistry - Surface Chemistry Question 46 English
Choose the most appropriate answer from the options given below.
A.
(a)-(i), (b)-(iii), (c)-(ii), (d)-(iv)
B.
(a)-(iv), (b)-(i), (c)-(iii), (d)-(ii)
C.
(a)-(iv), (b)-(ii), (c)-(iii), (d)-(i)
D.
(a)-(i), (b)-(ii), (c)-(iv), (d)-(iii)
2021 JEE Mains MCQ
JEE Main 2021 (Online) 31st August Morning Shift
Select the graph that correctly describes the adsorption isotherms at two temperatures T1, and T2 (T1 > T2) for a gas :

(x - mass of the gas absorbed ; m - mass of adsorbent ; P - pressure)
A.
JEE Main 2021 (Online) 31st August Morning Shift Chemistry - Surface Chemistry Question 48 English Option 1
B.
JEE Main 2021 (Online) 31st August Morning Shift Chemistry - Surface Chemistry Question 48 English Option 2
C.
JEE Main 2021 (Online) 31st August Morning Shift Chemistry - Surface Chemistry Question 48 English Option 3
D.
JEE Main 2021 (Online) 31st August Morning Shift Chemistry - Surface Chemistry Question 48 English Option 4
2021 JEE Mains MCQ
JEE Main 2021 (Online) 27th August Evening Shift
Lyophilic sols are more stable than lyophobic sols because :
A.
there is a strong electrostatic repulsion between the negatively charged colloidal particles.
B.
the colloidal particles have positive charge.
C.
the colloidal particles have no charge.
D.
the colloidal particles are solvated.
2021 JEE Mains MCQ
JEE Main 2021 (Online) 27th August Morning Shift
Tyndall effect is more effectively shown by :
A.
true solution
B.
lyophilic colloid
C.
lyophobic colloid
D.
suspension
2021 JEE Mains MCQ
JEE Main 2021 (Online) 26th August Evening Shift
The sol given below with negatively charged colloidal particles is :
A.
FeCl3 added to hot water
B.
KI added to AgNO3 solution
C.
AgNO3 added to KI solution
D.
Al2O3.xH2O in water
2021 JEE Mains MCQ
JEE Main 2021 (Online) 26th August Morning Shift
Which one of the following is correct for the adsorption of a gas at a given temperature on a solid surface?
A.
$\Delta$H > 0, $\Delta$S > 0
B.
$\Delta$H > 0, $\Delta$S < 0
C.
$\Delta$H < 0, $\Delta$S < 0
D.
$\Delta$H < 0, $\Delta$S > 0
2021 JEE Mains MCQ
JEE Main 2021 (Online) 25th July Evening Shift
Match List I with List II :

List-I
Example of colloids
List - II
Classification
(a) Cheese (i) dispersion of liquid in liquid
(b) Pumice stone (ii) dispersion of liquid in gas
(c) Hair cream (iii) dispersion of gas in solid
(d) Cloud (iv) dispersion of liquid in solid

Choose the most appropriate answer from the options given below
A.
(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)
B.
(a)-(iv), (b)-(i), (c)-(iii), (d)-(ii)
C.
(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)
D.
(a)-(iv), (b)-(iii), (c)-(i), (d)-(ii)
2021 JEE Mains MCQ
JEE Main 2021 (Online) 22th July Evening Shift
When silver nitrate solution is added to potassium iodide solution then the sol produced is :
A.
AgI / I$-$
B.
AgI / Ag+
C.
KI / NO$_3^ - $
D.
AgNO3 / NO$_3^ - $
2021 JEE Mains MCQ
JEE Main 2021 (Online) 20th July Morning Shift
The conditions given below are in the context of observing Tyndall effect in colloidal solutions :

(A) The diameter of the colloidal particles is comparable to the wavelength of light used.

(B) The diameter of the colloidal particles is much smaller than the wavelength of light used.

(C) The diameter of the colloidal particles is much larger than the wavelength of light used.

(D) The refractive indices of the dispersed phase and the dispersion medium are comparable.

(E) The dispersed phase has a very different refractive index from the dispersion medium.

Choose the most appropriate conditions from the options given below :
A.
(A) and (E) only
B.
(C) and (D) only
C.
(A) and (D) only
D.
(B) and (E) only
2021 JEE Mains MCQ
JEE Main 2021 (Online) 18th March Evening Shift
The charges on the colloidal CdS sol and TiO2 sol are, respectively :
A.
positive and positive
B.
positive and negative
C.
negative and negative
D.
negative and positive
2021 JEE Mains MCQ
JEE Main 2021 (Online) 17th March Evening Shift
For the coagulation of a negative sol, the species below, that has the highest flocculating power is :
A.
Na+
B.
Ba2+
C.
PO$_4^{3 - }$
D.
SO$_4^{2 - }$
2021 JEE Mains MCQ
JEE Main 2021 (Online) 17th March Morning Shift
A colloidal system consisting of a gas dispersed in a solid is called a/an :
A.
foam
B.
aerosol
C.
solid sol
D.
gel
2021 JEE Mains MCQ
JEE Main 2021 (Online) 16th March Evening Shift
The INCORRECT statements below regarding colloidal solutions is :
A.
The flocculating power of Al3+ is more than that of Na+.
B.
A colloidal solutions shows Brownian motion of colloidal particles.
C.
An ordinary filter paper can stop the flow of colloidal particles.
D.
A colloidal solutions shows colligative properties.
2021 JEE Mains MCQ
JEE Main 2021 (Online) 26th February Evening Shift
The nature of charge on resulting colloidal particles when FeCl3 is added to excess of hot water is :
A.
neutral
B.
sometimes positive and sometimes negative
C.
positive
D.
negative
2021 JEE Mains MCQ
JEE Main 2021 (Online) 25th February Evening Shift
Which one of the following statements is FALSE for hydrophilic sols?
A.
They do not require electrolytes for stability.
B.
The sols cannot be easily coagulated.
C.
These sols are reversible in nature.
D.
Their viscosity is of the order of that of H2O.
2021 JEE Mains MCQ
JEE Main 2021 (Online) 25th February Morning Shift
In Freundlich adsorption isotherm at moderate pressure, the extent of adsorption $\left( {{x \over m}} \right)$ is directly proportional to Px. The value of x is :
A.
$\infty $
B.
zero
C.
1
D.
${{1 \over n}}$
2021 JEE Mains MCQ
JEE Main 2021 (Online) 24th February Evening Shift
Most suitable salt which can be used for efficient clotting of blood will be :
A.
Mg(HCO3)2
B.
NaHCO3
C.
FeCl3
D.
FeSO4
2021 JEE Mains MCQ
JEE Main 2021 (Online) 24th February Morning Shift
In Freundlich adsorption isotherm, slope of AB line is :

JEE Main 2021 (Online) 24th February Morning Shift Chemistry - Surface Chemistry Question 66 English
A.
${1 \over n}$ with $\left( {{1 \over n} = 0\,to\,1} \right)$
B.
n with (n, 0.1 to 0.5)
C.
$\log {1 \over n}$ with $\left( {n < 1} \right)$
D.
log n with (n > 1)