2017-Jee-Advanced

Question Paper-2_Key & Solutions

smaller circle described by the point where the ring and the finger is in contact (Figure 2). The coefficient of friction between the ring and the finger is

 and the acceleration due to gravity is g.

R r

Q17.

Figure 2

Figure 1 The total kinetic energy of the ring is

A) M 0  R  r  2

C)

1 2 M 02  R  r  2 3 2 2 D) M 0  R  r  2

2

B)

M 02 R 2

Key:

A

Sol:

VCM of Ring=(R-r) w0

R

For no supply

Rw1   R  r  w0  rw0

Rw1  Rw0  0 1 1 2 2 2 2 KE of ring  M  R  r  w0  mR w0 2 2

Which is not matching with any answer given if r  R But we take

Rw0   R  r  w0

then KE 

2 2 M  R  r  w02 2

then A is nearest possible option The minimum value of

0

g 2  R  r 

B)

A) Key: Sol:

below which the ring will drop down is

3g 2  R  r 

C)

g  R  r

D)

2g  R  r

C If height of the cone h>>r Then  N  mg

 m  R  r  02  m g

0 

g  R  r

PART-2:CHEMISTRY

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Q18.

2017-Jee-Advanced

Question Paper-2_Key & Solutions SECTION -1 (Maximum Marks: 21)

   

Q19.

This section Contains SEVEN questions. Each question has FOUR options [A], [B], [C], and [D]. ONLY ONE of these four options is correct For each question, darken the bubble corresponding to the correct option in the ORS. For each question, marks will be awarded in one of the following categories: Full Marks : +3 If only the bubble corresponding to the correct option is darkened. Zero Marks : 0 If none of the bubbles is darkened Negative Marks : -1 In all other cases. **************************************************************************************************

The order of basicity among the following compounds is

NH H 3C

NH 2

NH 2

NH

N

HN

N

H2N

I

II

NH IV

III

A) IV > I > II > III

B) IV > II> III > I

C) I > IV > III > II

D) II > I > IV > III

Key:

A

Sol:

IV > I > II > III

HN

N

Sp 2 least basic NH

H 2 N  C  NH 2  strongest base Q20.

The major product of the following reaction is

OH i ) NaNO2 , HCl , 0 C   ii ) aq . NaOH

NH 2 O  Na 

N 2Cl

B)

OH

Key:

C) B

NN

NN

Cl

OH

D)

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A)

OH

2017-Jee-Advanced

Question Paper-2_Key & Solutions

Sol: OH

OH

NaNO2 .HCl  OoC

NH 2

N

 2

aq. NaOH

O OH Coupling reaction

NN

Q21.

NN 

Which of the following combination will produce

H 2 gas?

A) Au metal and NaCN(aq) in the presence of air B) Zn metal and NaOH(aq) C) Fe metal and conc.

HNO3

D) Cu metal and conc.

HNO3

Key:

B

Sol:

Zn  2 NaOH  Na2 [ZnO2 ]  H 2 

Q22.

The standard state Gibbs free energies of formation of C(graphite) and C(diamond) at T = 298 K are

 f G C  graphite   0 kJ mol 1

 f G C  diamonda   2.9 kJ mol 1

The standard state means that the pressure should be 1 bar, and substance should be pure at a given temperature. 6

1

The conversion of graphite [C(graphite) to diamond [C (diamond)] reduces its volume by 2 10 m mol . If 3

C(graphite) is converted to C(diamond) isothermally at T  298 K , the pressure at which C(graphite) is in 2 2

1 2

equilibrium with C(diamond), is [Useful information: 1 J  1 kg m s ; 1 Pa  1kg m s A) 14501 bar

Sol:

C) 1450 bar

5

D) 58001 bar

A

C g 

C D

O GRxn  G(OD )  G(Og )

=2.9 – 0 = 2.9 KJ/mol

G0   PV

2.9 kj / m  P 2 106 

P  1450 / bar

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Key:

B) 29001 bar

; 1bar  10 Pa ]

2017-Jee-Advanced Q23.

Key:

Sol: Q24.

Question Paper-2_Key & Solutions

The order of the oxidation state of the phosphorus atom in

H 3 PO2 , H 3 PO4 , H 3 PO3 and H 4 P2O6 is

A)

H3 PO4  H 4 P2O6  H3 PO3  H3 PO2

B)

H3 PO2  H3 PO3  H 4 P2O6  H3 PO4

C)

H3 PO4  H3 PO2  H3 PO3  H 4 P2O6

D)

H3 PO3  H3 PO2  H3 PO4  H 4 P2O6

A

H 3 PO4  H 4 P2O6  H 3 PO3  H 3 PO2 +5 +3 +1 +4 For the following cell,

Zn  s  | ZnSO4  aq  || CuSO4  aq  | Cu  s  When the concentration of Zn

2

is 10 times the concentration of Cu

[F is Faraday constant; R is gas constant; T is temperature; E A)

2.303RT  2.2F

0

2



, the expression for G in J mol

1

 is

 cell   1.1V ]

B) 1.1F

C) -2.2F

D)

Key:

A

Sol:

G  G0  2.303RT log Q

2.303RT  1.1F

G 0  nFE 0  2  F 1.1  2.2 F [ Zn 2 ] [Cu 2 ]  2.303 RT log10  2.303RT

2.303RT log Q  2.303RT log

G 0  2.303RT  2.2 F Pure water freezes at 273 K and 1 bar. The addition of 34.5 g of ethanol to 500 g of water changes the freezing 1

point of the solution. Use the freezing point depression constant of water as 2 K kg mol . The figures shown below represent plots of vapour pressure (V.P.) versus temperature (T). [molecular weight of ethanol is

46 g mol 1 ] Among the following, the option representing change in the freezing point is

1

water + E th

273

V.P./bar

Ice

270 A)

wate r

anol

T/K 

water Ethanol water +

Ice

270

273

B)

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T/K 

Page-19

1 V.P./bar

Q.25.

2017-Jee-Advanced

Question Paper-2_Key & Solutions

Ethanol water +

Ice

270

273

C) Key:

1

water

T/K 

V.P./bar

V.P./bar

1

wate r Ice water +

270 273 D)

Ethano

l

T/K 

C

Sol:

T f  K f .m 34.5 1000  46 500 T f  273  3  270 K 273  T f  2 

SECTION -2 (Maximum Marks: 28)    



This Section Contains SEVEN questions. Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four options is(are) Correct. For each question, darken the bubble(s) corresponding to all the correct options(s) in the ORS. For each question, marks will be awarded in one of the following categories: Full Marks : +4 If only the bubble(s) corresponding to all the correct options(s) is (are) darkened. Partial Marks : +1 For darkening a bubble corresponding to each correct option, provided NO incorrect option is darkened. Zero Marks : 0 If none of the bubbles is darkened. Negative Marks : -2 In all other cases. For example, if (A), (C)and (D) are all the correct options for a question, darkening all these three will get +4 marks; darkening only (A) and (D) will get +2 marks; and darkening (A) and (B) will get -2 marks; as a wrong option is also darkened.

******** ***************************************************************************************************

Q26.

In a bimolecular reaction, the steric factor P was experimentally determined to be 4.5. the correct option(s) among the following is (are) A) The activation energy of the reaction is unaffected by the value of the steric factor B) Since P = 4.5, the reaction will not proceed unless an effective catalyst is used C) The value of frequency factor predicted by Arrhenius equation is higher than that determined experimentally D) Experimentally determined value of frequency factor is higher than that predicted by Arrhenius equation

Key:

AC

Sol:

Ea is independent of steric factor K  A.e Ea / RT

A Z P Steric factor Exp. Z value is high If “P” high reaction is very fast

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So R  n need not required a catalyst

2017-Jee-Advanced Q27.

Question Paper-2_Key & Solutions

For a reaction taking place in a container in equilibrium with its surroundings , the effect of temperature on its equilibrium constant K in terms of change in entropy is described by A) with increase in temperature , the value of K for exothermic reaction decreases because favourable change in entropy of the surroundings decreases. B) with increase in temperature , the value of K for exothermic reaction decrease because the entropy change of the system is positive C) with increase in temperature , the value of K for endothermic reaction increases because the entropy change of the system is negative D) with increase in temperature, the value of K for endothermic reaction increases because unfavourable change in entropy of the surroundings decreases

Key:

AD

Sol:

For Exothermic

Rn

H  ve K decreases with raise in Temp

q

H

 S sys   T T So  S   ve sys  S sorr  ve Q28.

 H  ve

The correct statement (s) about surface properties is (are) A) Adsorption is accompanied by decrease in enthalpy and decrease in entropy of the system B) Cloud is an emulsion type of colloid in which liquid is dispersed phase and gas is dispersion medium C) The critical temperatures of ethane and nitrogen are 563K and 126K ,respectively. The adsorption of ethane will be more than that of nitrogen on same amount of activated charcoal at a given temperature D) Brownian motion of colloidal particles does not depend on the size of the particles but depends on viscosity of the solution

Sol:

AC Adsorption degree of freedom Decreases so S  ve

G  ve  Spon tan eous 

S  ve H  ve G  H  T S  ve  T  ve  At low temp. favours Cloud is not emulsion

x  Tc m

as Tc (critical temp  )

High liquification  all reactions 

x also  ) m

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Key:

2017-Jee-Advanced Q29.

Question Paper-2_Key & Solutions

Among the following , the correct statement(s) is (are) A) AlCl3 has the three-centre two- electron bonds in its dimeric structure B) BH 3 has the three-centre two- electron bonds in its dimeric structure C) Al  CH 3 3 has the three- centre two-electron bonds in its dimeric structure D) The lewis acidity of

BCl3 is greater than that of AlCl3

Key:

BCD

Sol:

option ‘D’ is not given clearly

BCl3  AlCl3 in case of hard lewis base

BCl3  AlCl3 in case of soft lewis base. (refer. Inorganic chemistry atkins) Q30.

For the following compounds, the correct statement(s) with respect to nucleophilic substitution reactions is(are)

CH 3

CH 3 Br

Br

H 3C

C

Br

Br

CH 3 I

II

III

IV

S N 1 mechanism

A) I and III follow

B) Compound IV undergoes inversion of configuration C) The order of reactivity for I,III and IV is: IV>I>III D) I and II follow Key:

S N 2 mechanism

ABCD

Br

S N1 I)

Br [Very slowly reactive to both the pahs] II)

Br III)

S N1 only

Br

S N1

IV) (A) I & III follow S N 1 mechanism  correct (B) compound IV undergoes inversion of configuration (C) the order of reactivity for I, III & IV is IV > I > III  correct (D) I & II follow S N 2 Mechanism  correct

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Sol:

2017-Jee-Advanced Q31.

Question Paper-2_Key & Solutions

The option(s) with only amphoteric oxides is(are) A) ZnO, Al2O3 , PbO, PbO2

B) Cr2O3,CrO, SnO, PbO

C) Cr2O3, BeO, SnO, SnO2

D) NO, B2O3, PbO, SnO2

Key:

AC

Sol:

Cr2O3 , BeO, B2O3 , PbO, SnO2 are Amphoteric, PbO2 is not amphoteric

Q32.

Compounds P and R upon ozonolysis produce Q and S, respectively. The molecular formula of Q and S is

C8 H 8O . Q undergoes Cannizzaro reaction but not haloform reaction, whereas S undergoes haloform reaction but not Cannizzaro reaction.

(i)

i )O3 / CH 2Cl2

P

Q

ii ) Zn / H 2O

(ii)

 C8 H8O 

i)O3 / CH 2Cl2

R

S

 C8 H8O 

ii ) Zn / H 2O

The option(s) with suitable combination of P and R, respectively, is(are) H 3C

CH 3

CH 3

CH 3

and CH 3

CH 3

A)

and

H 3C

CH 3

B) H 3C CH 3

CH 3

and C)

CH 3

H 3C

H 3C

and

H 3C

CH 3

D) BC

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Key:

2017-Jee-Advanced

Question Paper-2_Key & Solutions

Sol: CHO

H 3C

( i ) O3 / CH 2Cl2   ( ii ) Zn / H 2O

Undergoes cannizzaro's reaction , but not haloform reaction

CH 3 (Q)

(P)

(C8 H8O) O

(i )O /CH Cl

3 2 2  (ii ) Zn/ H O 

Gives haloform reaction but not cannizzaro's reaction

2

(S)

(R)

(C8 H 8O) CH 3

O

CH 3CHO

(i )O /CH Cl

3 2 2  (ii ) Zn/ H O  2

CH 3

CH 3 (Q)

(C8 H 8O) Gives cannizzaro's reaction, but not haoform reaction

O O (i )O /CH Cl

3 2 2  (ii ) Zn/ H O 

+

2

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Gives haoform reaction, but not cannizzaro's reaction,

2017-Jee-Advanced

Question Paper-2_Key & Solutions SECTION -3 (Maximum Marks: 12)

    

This section Contains TWO paragraphs. Based on each table, there are TWO questions Each question has FOUR options [A], [B], [C], and [D]. ONLY ONE of these four options is correct For each question, darken the bubble corresponding to the correct option in the ORS. For each question, marks will be awarded in one of the following categories: Full Marks : +3 If only the bubble corresponding to the correct option is darkened. Zero Marks :0 If all other cases ******** ***************************************************************************************************

PARAGRAPH 1 Upon heating KClO3 in the presence of catalytic amount of MnO2 , a gas W is formed. Excess amount of W reacts with white phosphorus to give X. The reaction of X with pure HNO3 gives Y and Z Q33.

Key:

W and X are, respectively A) O3 and P4O6

B) O2 and P4O6

C) O2 and P4O10

D) O3 and P4O10

C K C lO 3

MnO2

K C l  O2

P4 P4 O10

Key:

N 2 O5

H 3 PO4

HPO3

(X)

Sol: Q34.

HNO3

Y and Z are, respectively A) N2O5 and HPO3

B) N2O3 and H3 PO4

C) N2O4 and HPO3

D) N2O4 and H 3 PO3

A K C lO 3

MnO2

K C l  O2

P4 P4 O10

HNO3

N 2 O5

H 3 PO4

HPO3

(X)

Sol:

PARAGRAPH 2 The reaction of compound P with CH3 MgBr (excess) in  C2 H 5 2 O followed by addition of H 2O gives Q. The 0 compound Q on treatment with H 2 SO4 at 0 C gives R. The reaction of R with CH 3COCl in the presence of

anhydrous AlCl3 in CH 2Cl2 followed by treatment with H 2O produces compound S. [Et in compound P is ethyl group]

 H 3C 3 C

CO2 Et Q

R

S

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P

2017-Jee-Advanced Q35.

Question Paper-2_Key & Solutions

The reactions, Q to R and R to S, are A) Dehydration and Friedel-Crafts acylation B) Friedel-Crafts alkylation, dehydration and Friedel-Crafts acylation C) Friedel-Crafts alkylation and Friedel-Crafts acylation D) Aromatic sulfonation and Friedel-Crafts acylation

Key: Sol:

C CH 3 

CO2 Et

HO  C  CH 3

1. CH 3 MgBr / D . E  excess

H 2 SO4 ,0C

OH 2

2. H 2O

 P

Q 

 H 2O H 

1.CH 3COCl / Anhy . AlCl3

2. H 2O   Freidal-crafts acylation

Freidel crafts alkylation

S 

 R

CH 3

Q  R  Freidel-craft's alkylation R  S  Freidel-craft's acylation The Product S is

 H 3C 3 C

HO3 S O

CH 3

COCH 3

A)

H 3C

 H 3C 3 C

 H 3C 3 C

H 3COC

H 3C

B) CH 3

COCH 3

 H 3C 3 C

Key: Sol:

C) C

CH 3

COCH 3

CH 3

D)

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Q36.

2017-Jee-Advanced

Question Paper-2_Key & Solutions CH 3 

CO2 Et

 1. CH 3 MgBr / D . E excess 2. H 2O

 P

HO  C  CH 3

H 2 SO4 ,0C

Q 

OH 2

 H 2O H 

1.CH 3COCl / Anhy . AlCl3 2. H 2O Freidal-crafts acylation



Freidel crafts alkylation

S 

 R

CH 3

CH 3 

CO2 Et

 1. CH 3 MgBr / D . E excess 2. H 2O

 P

HO  C  CH 3

H 2 SO4 ,0C

Q 

OH 2

 H 2O H 

1.CH 3COCl / Anhy . AlCl3 2. H 2O Freidal-crafts acylation



Freidel crafts alkylation

S 

 R

CH 3

Q  R  Freidel-craft's alkylation

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R  S  Freidel-craft's acylation

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