resonance dpp

MAJOR TEST (MT) (JEE ADVANCED PATTERN) Target : JEE(Main+Advanced) 2016

0

Course Name : JR,JP,JF  Da  D at e : 04 - 03 - 201 6

D u r a t i o n : 3 Ho u r s

M ax. M ar ks : 2 34

Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.

INSTRUCTIONS A. General : 1. This This Ques Questio tion n Pap Paper er conta contain ins s 54  54  questions. 2.

The question question paper paper CODE CODE is printed printed on the right right hand top top corner on this sheet sheet of this this booklet. booklet.

3.

No addit additiona ionall sheets sheets will will be prov provided ided for roug rough h work. work.

4.

Blank paper paper,, clipboard, clipboard, log tables, tables, slide slide rules, calculators calculators,, cellular phones, pagers pagers and electronic electronic gadgets gadgets in any form are not allowed. not allowed.

5.

The answer answer sheet, sheet, a machi machinene-gra gradabl dable e Objective Response Sheet (ORS), (ORS), is provided separately.

6.

Do not not Tam Tamper per / muti mutilat late e the the ORS or ORS or this booklet.

7.

Do not break break the seals seals of the the question-pape question-paperr booklet before instructe instructed d to do so by by the invigilato invigilators. rs.

8. W ri ri t e yo ur Name, Roll No. in the space provide on this page of booklet. B. Filling the bottom-half of the ORS : Use only Black ball point pen only for filling the ORS. Do not use Gel / Ink / Felt pen as it might smudge the ORS. 9. Write your Roll Roll no. in the boxes boxes given at the the top left corner corner of your your ORS with with black ball ball point pen. Also, darken darken the corresponding bubbles with Black ball point pen only. Also fill your roll no on the back side of your ORS in the space provided (if the ORS is both side printed). 10. Fill your Paper Code Code as mentioned on the Test Test Paper and darken darken the corresponding corresponding bubble with with Black ball point pen. 11. If student does does not fill his/her roll roll no. and paper code correctly correctly and properly properly,, then his/her marks marks will not be displayed and 5 marks will be deducted (paper wise) from the total. 12. Since it is not possible to erase and correct pen filled bubble, bubble, you are advised to be extremely extremely careful careful while darken the bubble corresponding to your answer. 13. Neither try try to erase / rub / scratch scratch the option nor nor make the Cross (X) (X) mark on the option option once filled. Do Do not scribble, smudge, cut, tear, or wrinkle the ORS. Do not put any stray marks or whitener anywhere on the ORS. 14. If there is any discrepancy discrepancy between between the written data data and the bubbled data in your ORS, ORS, the bubbled data will be taken as final. C. Question paper format and Marking scheme : 15. The question question paper paper consists consists of 3 parts (Chemistry, (Chemistry, Physics & Mathematics). Mathematic s). Each part part consists consists of Four Sections. 16. For each question question in Section –I , you will be awarded 4 marks if you darken the bubble(s) corresponding to the correct choice(s) for the answer and zero mark if no bubbled is darkened. In case of bubbling of incorrect answer ans wer,, minus one ( –1) mark will be awarded.

   G   R    N    I    O    E   T    B   A    L    T   I    U   G    I    O   V    N    H   I    T    I    E    W   H    S   T    L   Y    A   B    E   O    S   S    E   O    H   D    T   O    K   T    A   D    E   E    R   T    B   C    T   U    O   R    N   T    O   S    N    D   I

17. For each question question in Section –II, you will be awarded 4 marks if you darken the bubble corresponding to the correct answer, and zero mark if no bubble is darkened. In case c ase of bubbling of incorrect answer, minus one ( –1) mark will be awarded. 18. For each question question in Section –III, you will be awarded 2 marks for each row in which you have darkened the bubble(s) corresponding to the correct answer. Thus, each question in this section carries a maximum of 10 marks. marks. There is no negative marking for incorrect answer(s) for this this section. 19. For each que questio stion n in Section –IV , you will be awarded 3 marks if you darken the bubble(s) corresponding to the correct choice(s) for the answer and zero mark if no bubbled is darkened. There is no negative marking for incorrect answer(s) for this this section.

 Name of the Candidate

Roll Number

Resonance Eduventures Ltd. CORPORATE OFFICE : CG Tower Tower,, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Ph.No. : +91-744-3012222, 6635555 | Toll Free : 1800 200 2244 | 1800 102 6262 | 1800 258 5555 Reg. Office: J-2, Jawahar Nagar, Main Road, Kota (Raj.) 324005 | Ph. No.: +91-744-3192222 | FAX No. : +91-022-39167222 : +91-022-39167222 Website : www.resonance.ac.in | E-mail : [email protected] : [email protected] | CIN: U80302RJ2007PLC024029

PART-I Atomic masses : [H = 1, D = 2, Li = 7, C = 12, N = 14, O = 16, F = 19, Na = 23, Mg = 24, Al = 27, Si = 28, P = 31, S = 32, Cl = 35.5, K = 39, Ca = 40, Cr = 52, Mn = 55, Fe = 56, Cu = 63.5, Zn = 65, As = 75, Br = 80, Ag Ag = 108, I = 127, Ba = 137, Hg = 200, Pb = 207]

SECTION - I

Straight Objective Type  This section contains 8 questions. Each question has 5 choices (A), (B), (C), (D) and (E) for its answer, out of which ONLY which ONLY ONE is correct.

1.

Calculate value of '!n Keq' for the reaction at 250 K. N2O4 (g) Given :

(A) 4 2.

2NO2 (g)

!Hºƒ (NO2)g =

+ 40.407 kJ / mol !Hºƒ (N2O4)g = + 70 kJ / mol  –1  –1 !Sºr = 10 JK (B)  – 4  – 4 (C) 1.2

(D) – 1.2  – 1.2

(E) 104

Select the INCORRECT statement for the phase change equilibrium, equilibrium, H2O(s)

H2O(l)

(A) Melting point of ice is decreased if pressure of system at equilibrium in increased. (B) Conversion of ice into liquid water is an endothermic endotherm ic process. (C) Melting point of ice is decreased if pressure pr essure of the system at equilibrium is decreased. (D) Boiling point of water is lesser than that of hydrogen peroxide. (E) Melting of ice is favourable at high temperature and high pressure. 3.

When lead acid accumulator (battery) ( battery) is discharged, following reaction reaction takes place. "#  2PbSO (s) + 2H O Pb(s) + PbO2(s) + 2H2SO4(aq.)  "  4 2

If 1.25 ampere current is drawn for a period of 1930 minutes, mass of H2SO4 consumed is : (A) 196 g (B) 49 g (C) 98 g (D) 147 g (E) 122.5 g (SPACE FOR ROUGH WORK)

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4.

A freshly prepared saturated solution of a potassium salt produces a yellow precipitate with a highly concentrated solution of cobalt(II) chloride, when acetic acid is added to it. The potassium salt may be : (A) KNO2 (B) K2SO3 (C) KNO3 (D) KBr (E) CH3COOK

5.

The INCORRECT statement is : (A) In metallurgy, flux is a substance used to convert infusible impurities to fusible m ass. (B) Cryolite is Na3AlF6 and is used in the electrolysis of alumina. (C) Extraction of iron metal from iron oxide ore is carried out by heating with coke and lime stone. (D) Lead can be extracted by self reduction of galena. (E) Haematite, Cassiterite and argentite are oxide ores.

6.

Write order of electron density in aromatic ring of following compounds.

I

(A) (E) 7.

IV > III > II > I

II

(B) I >

III

II > III > IV

(C)

IV

IV > II > I > III

(D)

III > IV > II > I

II > IV > III > I

Which will be the least stable resonating structure of nitrobenzene. (A)

(B)

(C)

(D)

(E) None of these

(SPACE FOR ROUGH WORK)

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8.

For the following species.

The correct order of acidity is : (A) IV > III > II > I (B) III > IV > I > II

(C) III > I > IV > II

(D) IV > II > III < I

(E) None of these

SECTION - II

Reasoning Type  This section contains 2 reasoning type questions. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE  is correct.

9.

STATEMENT -1 : Negatively charged As2S3 colloidal sol is obtained when As2O3 solution is saturated with H2S. STATEMENT -2 : Selective adsorption of As3+ does take place on As2S3 when As2O3 solution is saturated with H2S. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

(SPACE FOR ROUGH WORK)

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10.

Statement 1 :  Major

product

of

the

reaction

CF3COOOH

 "  " "  "  "   " #

is

Statement 2 : Migratory aptitude of (CH3)3C – is better than CH 3 – in Baeyer-Villiger reactions. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

SECTION - III

Matrix - Match Type  This section contains 2 questions. Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C, D and E, while the statements in Column-II are labelled p, q, r, s. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The appropriate bubbles corresponding to the answers to these questions have to be drakened as illustrated in the following example. If the correct matches are A-p,r; B-p,s; C-r,s, D-q and E-q; then the correct darkening of bubbles will look like the following :

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11.

12.

(A)

Column-I XeF4(s) + H2O(!)  "#

(p)

Column-II Show disproportionation reaction.

(B)

P4 (white) (s) + OH – (aq) + H2O (!) #

(q)

One of the products is a monobasic Lewis acid.

(C)

B2H6(g) + H2O(!)  "#

(r)

One of the products is a gas at 25ºC.

(D)

Br2(g) + Na2CO3(aq)  "#

(s)

One of the products has a pyramidal molecular structure.

(E)

CaCN2(s) + H2O (!)  "#

Match the reactions (Column-I) with the mechanistic path (Column-II) of first step leading to major reaction product. Column-I Column-II

(A)

(p) Acid Base reaction

(B)

(q) Elimination reaction

(C)

(r) Carbanion as intermediate

(D)

(s) Nucleophilic addition reaction.

(E)

(SPACE FOR ROUGH WORK)

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SECTION - IV

Integer Answer Type 

This section contains 6 questions. The answer to each of the questions is a single digit integer, ranging from 0 to 9. The appropriate bubble below the respective question number in the ORS have to be darkened.

13.

A 200 ml aqueous solution of KCl was electrolysed for 16 min and 5 sec. If the pH of the final solution was 13 and volume of solution remains practically unchanged, then the average current used in ampere is ...... (Assume negligible evolution of O2 gas)

14.

Reaction of hydrated ferric chloride (FeCl3.6H2O) with thionyl chloride gives anhydrous ferric chloride with evolution of hydrochloric acid (HCl) and sulphur dioxide (SO2) gases. The number of sulphur dioxide (SO2) molecules involved in the balanced chemical equation is.

15.

A complex compound is represented as CoCl3.xNH3. Its 0.1 M solution in water shows depression in freezing point equal to 0.0558K. Assuming 100% ionisation of complex and coordination number of Co to be six, calculate the value of x. K f for H2O is 1.86 K kgmol –1.

16.

How many stereoisomers of Pt(gly)2Cl2 are possible ?

(SPACE FOR ROUGH WORK)

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17.

18.

Identify the compounds in given set which can form enol.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Along how many planes, a benzene molecule has plane of symmetry.

(SPACE FOR ROUGH WORK)

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PART- II SECTION - I

Straight Objective Type  This section contains 8 multiple choice questions. Each question has choices (A), (B), (C), (D) and (E), out of which ONLY ONE  is correct. 19.

Equal volumes of two immiscible liquids of densities ! and 3! are filled in a vessel. Two small holes are punced at depth h/3 and 4h/3 from upper surface of lighter liquid. If v 1 and v2 are velocities of efflux at these two holes, then v1 /v2 is :

(A)

(D)

1 2 1 4

1 (B)

(E)

1 (C)

2

2 2

1 4 2

20.

Two identical drops are falling through air with steady speed v. If the two drops coalesce, what would be the terminal speed. (A) v (B) 2v (C) 3v (D) 4v (E) none of these

21.

In case of a liquid : (A) only bulk modulus is defined (B) only bulk and Young's modulus are defined (C) only bulk and shear modulus are defined (D) all the three modullii (bulk, Young's and shear are defined) (E) Young's modulus is defined but shear modulus is not defined (SPACE FOR ROUGH WORK)

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22.

23.

Rod AB is placed against a block which is moving towards right with a speed of 1m/s. If at an instant when the rod makes an angle 60 0 with the horizontal and end A is sliding left with constant speed of 1m/s. Then the speed of the point of contact 'B' of the rod is :

(A) 1m/s

(B)

(D) 2 3 m / s

(E)

3 2 7 3

m/s

(C)

1 2

m/s

 m/s

System shown in figure is released from rest. Then the acceleration of 2kg block is : (g = 10 m/s 2)

(A)

(D)

25 9

m / s2

25 2 m/s2 3

(B)

25 2 9

m/s

2

(C)

25 3

m/s

2

(E) none of these (SPACE FOR ROUGH WORK)

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24.

25.

26.

A and B are massless supports attached to two springs, both the springs are identical and light. Friction coefficient between block C and horizontal surface is 0.5. When both the springs are in their natural length block C was given a velocity of 2m/s towards right. Then the distance travelled by block before coming to rest for the first time is : (g = 10 m/s 2)

(A) 10cm

(B) 20cm

(C) 15cm

(D) 25 cm

(E) none of these

A car is travelling on a straight road running along a field. A person standing at a distance of 'd' from the road. If the speed of car is 'u' and the actual frequency of its horn is 'f 0' then the frequency heard by the observer when the car is closest to him is : (the velocity of sound in air is v) :

" v2 # (C) f o $ 2 2 % 'v &u (

v

(A) f o

(B) f o

" v2 & u 2 # (D) f o $ % 2 ' v (

(E) f0 $

c

"

# % $' v 2 ) u 2 %( v2

A simple pendulum has a time period of T 0 on the surface of the earth. On another planet whose density is same that of earth but radius is 4 times then time period of this simple pendulum would be :

T0

(A) T0

(B)

(D) 4T0

(E) 2T0

(C)

4

T0 2

(SPACE FOR ROUGH WORK)

(SPACE FOR ROUGH WORK)

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SECTION - II

Reasoning Type  This section contains 2 reasoning type questions. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE   is correct.

27.

STATEMENT-1:

A man is standing at the centre on a horizontal rotating turn table (rotating on a smooth

horizontal surface) has two dumbells in his hands. If he brings them closer to himself then the kinetic energy of the whole system increases. STATEMENT-2:

In asbsence of external torque kinetic energy of system remains conserved.

(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

28.

STATEMENT-1 :  A uniformly distributed direct current flows through a s olid long metallic cylinder along its

length. It produces magnetic field only outside the cylinder . STATEMENT- 2 :  A

thin long hollow cylindrical tube carrying uniformly distributed direct current along its

length does not produce a magnetic field inside it. Moreover, a solid cylinder can be supposed to be made up of many thin cylindrical tubes. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True

(SPACE FOR ROUGH WORK)

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SECTION - III

Matrix - Match Type  This section contains 2 questions. Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C, D and E, while the statements in Column-II are labelled p, q, r, s. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example. If the correct matches are A-p, s and t ; B-q and r; C-p and q; and D-s and E- q; then the correct darkening of bubbles will look like the following : 29.

Figure in column –I shows some fixed charge systems. (+Q /  –Q) and movable point charge (q /  –q), match the options in column –II for equilibrium of (q /  –q) in the given direction. Column –I

Column –II

(A)

(p) unstable

Equilibrium in y –direction

(B)

(q) accelerating (non-equilibrium) Equilibrium in x –direction

(C)

(r) stable

equilibrium in x –direction (SPACE FOR ROUGH (system consist of a uniformly charged fixed non –conducting spherical shell and neglect effect of induction)

(D)

WORK)

(s) neutral

(E) (A uniformly charged fixed ring) Equilibrium of  –q charge in given direction. (SPACE FOR ROUGH WORK)

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30.

Column-I has some statements about the system shown in column-II, Match approprtate column. Column-I

Column-II

(A) kinetic energy of system continiously decreases.

(p)

[Neglect other gravitational forces, system consists of ring and point mass]

(B) kinetic energy of system continiously increases.

v  *

(q)

2GM d

[Neglect other gravitational force, system consists of two point massage M and m.]

+ball > +liquid

(C) Potential energy of system continiously increases. (r)

‘

(D) Total mec hanical energy of system remains conserved

liquid’ is viscous and filled in a very long tube.

(s) both the charges are free to move

(E) Total mechanical energy of system continiously decreases.

(SPACE FOR ROUGH WORK)

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SECTION - IV

Integer Answer Type  This section contains 6 questions. The answer to each of the questions is a single digit integer, ranging from 0 to 9. The appropriate bubble below the respective question number in the ORS have to be darkened.

31.

The difference between (n + 2)th Bohr radius and n th Bohr radius is equal to the (n  – 2)th Bohr radius. The value of n is ?

32.

The figure shows an RC  circuit with a parallel plate capacitor. Before switching on the ci rcuit, plate A of the capacitor has a charge  –Q 0 while plate B  has no net charge. Now, at t  = 0, the circuit is switched on. How much time (in second) will elapse before the net charge on plate A becomes zero. (Given C = 1,F, Q 0 = 1mC,

- = 1000 V and  R 0

2 / 10 6 ln 3

.)  – Q0  A

B

 R S

(SPACE FOR ROUGH WORK)

(SPACE FOR ROUGH WORK)

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33.

A thin non conducting disc of mass M = 2kg, charge Q = 2 x 10 -2C and radius  R

0

1 6

m  is placed on a

frictionless horizontal plane with its centre at the origin of the coordinate system. A non uniform, radial !"

magnetic field  B

#  exists in space, where B  = 10T and 0 B0 r  0

# is a unit vector in the radially outward r 

direction. The disc is set in motion with an angular velocity 1 = x × 10 2 rad/sec, about an axis passing through its centre and perpendicular to its plane, as shown in the figure. At what value of x, the disc will lift off from the surface.

(SPACE FOR ROUGH WORK)

(SPACE FOR ROUGH WORK)

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34.

All springs, string and pulley shown in figure are light. Initially when both the springs were in their

natural state, the system was releas ed from rest. The maximum displacement of block m is x

2 5mg 3 . / 4 5 6 k  7

Calculate x.

(SPACE FOR ROUGH WORK)

(SPACE FOR ROUGH WORK)

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35.

In Young's Double slit experiment, a thin glass mica strip of thickness (t = 8

8 ) is placed infront of slit S 1. If

the same strip is now shifted in front of other slit S 2. If the number of fringes which will cross the central point on the screen is N. Find N ? (d >> D, 8 

B '