IRP Test-1 (07!12!17) (JEE Mains) Code-A

(1)

IRP TEST-1_(COURSE-2017)

JEE Mains

T

Tiimmee::33HHoouurrss MMaaxxiimmuummMMaarrkkss ::336600 Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose. Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.

INSTRUCTIONS

A

A.. GGeenneerraal l ::

1.

1. This This booklet booklet is is your your Question Question Paper Paper containingcontaining 9090 questions. The booklet has questions. The booklet has 28

28pages.pages. 2.

2. TheThequestion paper CODEquestion paper CODEis printed on the right hand top corner of this sheet andis printed on the right hand top corner of this sheet and on the back page (page no.

on the back page (page no.2828) of this booklet.) of this booklet. 3.

3. The The question question paper paper containscontains11 blank pages for blank pages for your rough wyour rough work. ork. No additional sheetsNo additional sheets will be provided for rough work.

will be provided for rough work. 4.

4. Blank Blank papers, clipapers, clipboards, pboards, log log tables, tables, slide slide rules, rules, calculators, calculators, cellular cellular phones, phones, pagers pagers andand electronic gadgets in any form are not allowed to be carried inside the examination hall. electronic gadgets in any form are not allowed to be carried inside the examination hall. 5.

5. Fill Fill in in the the boxes provided boxes provided below below on on this this page page and and also also write write youryourNameName and andVVAA Roll No.

Roll No.in the space provided on the back page (page no.in the space provided on the back page (page no.2828) of this booklet.) of this booklet. 6.

6. The The answer answer sheet, sheet, a a machine-readable machine-readable Objective Objective Response Response Sheet Sheet ((ORSORS), is provided), is provided separately.

separately. 7.

7. DO DO NOT NOT TAMPER TAMPER WITWITH H / / MUTILATE MUTILATE THE THE ORS ORS OR OR THE THE BOOKLETBOOKLET.. 8.

8. Do Do not openot open the n the question-papquestion-paper bookleer booklet before t before being being instructed instructed to dto do so o so by by the ithe invigilanvigilators.tors.

B

B.. QQuueessttiioon pn paappeer fr foorrmmaatt  

 Read the Read the instructions instructions printed printed on on the the back back pagepage C

C.. MMaarrkkiinng g sscchheemmee (page no.(page no.2828) of this booklet.) of this booklet. N

Naamme e oof f tthhe e ccaannddiiddaattee VVA A RRoolll l NNuummbbeer r

I

I hhaavve e rreeaad d aalll l tthhe e iinnssttrruuccttiioonns s aanndd I I hhaavve e vveerriiffiieed d aalll l tthhe e iinnffoorrmmaattiioon n ffiilllleedd s

shhaalll l aabbiidde e bby y tthheemm.. iin n bby y tthhe e ccaannddiiddaattee.. ...

... ... S

Siiggnnaattuurre e oof f tthhe e CCaannddiiddaatte e SSiiggnnaattuurre e oof f tthhe e iinnvviiggiillaattoor r

VIBRANT

VIBRANT ACADEMY

ACADEMY

(India) Private Limited

A-14(A),

Road No.1, Indraprastha Industrial Area, Kota-324005 (Raj.)

Tel.:(0744) 2423406, 2428666, 2428664, 2425407 Fax: 2423405

Emai

Email: l: admadmin@[email protected] .com WebWebsite site : : www.vibrwww.vibrantacantacademademyy.com.com Web

Website site : dlp: dlp.vib.vibrantarantacadecademy.my.comcom

CODE - A

USEFUL

USEFUL DATDATAA

Atomic

Atomic weights: H weights: H = = 1, 1, He He = = 4, 4, Li Li = = 7, 7, g g = = 10 10 m/sm/s22_{, B = 11, C = 12, N = 14, O = 16, F = 19, Ne = 20, Na = 23,}_{, B = 11, C = 12, N = 14, O = 16, F = 19, Ne = 20, Na = 23,}

Mg = 24, Mg = 24, Al = Al = 27, P 27, P = = 31, S 31, S = 32, C= 32, Cl = 35.5, l = 35.5, K = 39, K = 39, Ca = 40, Ca = 40, Ar = 40 Ar = 40 , , Ti = Ti = 48, Cr = 48, Cr = 52, 52, Mn = 55, Mn = 55, Fe = 56,Fe = 56, Co = 59, Cu = 63.5, Zn = 65.5, B Co = 59, Cu = 63.5, Zn = 65.5, Br = 80, Mo = 96, r = 80, Mo = 96, Ag = 108, I = 127, Ba = 137Ag = 108, I = 127, Ba = 137, U = 238, U = 238

DA

DATE :

TE : 07-12-17

07-12-17

(2)

Vibrant Academy

Vibrant Academy ( (II) Pvt. Ltd.) Pvt. Ltd. " "A-14(A)A-14(A)""Road No.1, IPIA, Kota (Raj.) Ph. 0744-2423406 (Road No.1, IPIA, Kota (Raj.) Ph. 0744-2423406 (www.vibrantacademy.comwww.vibrantacademy.com)) [2][2]

[ [ I I R R P P P P T T - - 1 1 , , J J M M _ _ A A ] ] PART

PART I I : : MAMATHEMTHEMAATICSTICS Single Correct Choice Type Single Correct Choice Type

This section contains 30 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) f This section contains 30 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) f or itsor its answer

answer, out of , out of whichwhichONLY ONEONLY ONEis correct.is correct.

1.

1. If If f(x) f(x) is is monotonic monotonic and and differentiable differentiable function, function, thenthen

f(b) f(b) –1 –1 f(a) f(a) 2x 2x((bb – – f f (x)(x))dx)dx



== (A) (A) b b 2 2 22 a a (f (f (x)– f (x)– f ((a)a))dx)dx



(B)(B) b b 2 2 22 a a (f (x)– f (b))dx (f (x)– f (b))dx



(C) (C) b b 2 2 22 a a (f (f (x)(x)dx dx (a (a –– b)b)f f ((b)b)



(D) (D) None None of of thesethese

2.

2. Let Let f(x) f(x) = = xx33_{+ 3x + 2 and g(x) is the inverse of it. The area bounded by g(x), the x-axis and the ordinates at}_{+ 3x + 2 and g(x) is the inverse of it. The area bounded by g(x), the x-axis and the ordinates at}

x = –2 and x = 6 is x = –2 and x = 6 is mm

n

n where where m, nm, n N and G.C.D of (m, n) = 1 then m – 2 = N and G.C.D of (m, n) = 1 then m – 2 = ((AA) ) 6 6 ((BB) ) 7 7 ((CC) ) 8 8 ((DD) ) 99

3.

3. y(x) y(x) satisfies satisfies the the differential differential equationequation _dx_dxdydy = y = y log y + log y + yeyexx_{. If y(0) = 1, then y(1) =}_{. If y(0) = 1, then y(1) =}

(A) e

(A) eee _{(B) e}_{(B) e} –e –e _{(C) e}_{(C) e}1/e1/e _(D)_{(D) ee}

4. 4. LetLet _dx_dxdd F(x) = F(x) = sinx sinx e e x x , x > 0. If, x > 0. If 2 2 4 4 _sinx_sinx 1 1 2e 2e xx



dx dx = = F(k) F(k) – – f(1) f(1) then then one one of of the the possible possible values values of of k k is is :: ((AA) ) 4 4 ((BB) ) ––4 4 ((CC) ) 116 6 ((DD) ) NNoonne e oof f tthheessee

Space For Rough Work

(3)

Vibrant Academy (I) Pvt. Ltd. "A-14(A)"Road No.1, IPIA, Kota (Raj.) Ph. 0744-2423406 (www.vibrantacademy.com) [3] [ I R P P T - 1 , J M _ A ]

Space For Rough Work

MATHEMATICS

5. Complete solution set of [cot –1 x] + 2[tan –1 x] = 0, where [.] denotes the greatest integer function, is equal to

(A) (0, cot 1) (B) (0, tan 1) (C) (tan 1,) (D) (cot 1, tan1)

6. Find the particular solution of the differential equation dy y –

dx x + cosec y x       = 0, y = 0 when x = 1. (A) cos  y_x   =n|x| + 1 (B) sin y x       =n|x| + x – 1 (C) sin  y_x   = ln|x| + x2 – 1 (D) sec y x       =n|x| + 1

7. The maximum number of equivalence relations on the set A = {1, 2, 3} are :

(A) 1 (B) 2 (C) 3 (D) 5 8.



e cos x dx–3x 3 (A) –3x e 24 [sin 3x – cos3x] + –3x 3e 40 [sinx – 3cosx] + C (B) –3x e 24 [sin 3x – 3cos3x] + –3x 3e 40 [sinx – cosx] + C (C) –3x e 24 [3sin 3x – cos3x] + –3x 3e 40 [2sinx – cosx] + C (D) –3x e 24 [sin 3x – cos3x] + –3x e 40 [sinx – 3cosx] + C

(4)

Space For Rough Work

MATHEMATICS

9. The differential equation(x)dy = y {(x) – y} dx is changed in the form df(x, y) = 0. Then f(x, y) is :

(A) 1 2 (x) + y (B) 1 y (x) – x (C) 1 y (x) + x (D) (x ) y  10. –1 –1 2 x 0 sin x – tan x lim x  is equal to : (A) 1 2 (B) 1 – 2 (C) 0 (D)

11. Let the parabolas y = x2+ ax + b and y = x(c – x) touch each other at the point (1, 0). Then

(A) a = –4 (B) b = 1 (C) c = 2 (D) b + c = 3 12. If f(x) = (ab – b2 – 2)x + x 4 4 0 (cos   sin ) d 



is a decreasing function of x for all x R and b R, b being

independent of x, then

(5)

Space For Rough Work

MATHEMATICS

13. If 4a + 2b + c = 0 then the equation 3ax2 + 2bx + c = 0 has at least one real root lying between.

(A) 0 and 1 (B) 1 and 2 (C) 0 and 2 (D) None of these

14. Let



e {f(x) – f '(x)}x dx =(x). Then



e f(x)dxx is : (A)(x) + ex_f(x) _(B)__{(x) – e}x_f(x) _(C) 1 2 {(x) + exf(x)} (D) 1 2 {(x) + exf (x)} 15. Let f(x) = 2 2 2 x dx (1 x )(1 1 x )  



and f(0) = 0. Then f(1) is :

(A) log (1 + 2 ) (B) log (1 + 2 ) – ₄ (C) log (1 + 2 ) + ₄ (D) None of these

16. Let x₀= 0, x₁= 1 and x_n+1= x_n+ 1 x 2_n for n 1. Then _n n 1n

x lim 2         = (A) 4  (B) 2  (C) 2  (D) 4 

(6)

Space For Rough Work

MATHEMATICS 17. 2 n n 2 n 1 lim 1 n cosn    _  _  _   

(A) 1 (B) e (C) e2 _{(D) does not exist}

18. For x(0, 1), define f(x) = x(1 x) if x is rational 1 x(1 x) if x is not rational 4       

Then, the number of points in (0, 1) at which f is continuous is

(A) 1 (B) 2 (C) 3 (D) None of these

19. If the function f(x) = 2 2x, | x | 1 x ax b, | x | 1      

 is continuous for all real x, then

(A) a = 2, b = –1 and f is differentiable for all x

(B) a = –2, b = 1 and f is not differentialbe at x = –1, 1 (C) a = 2, b = –1 and f is not differentiable at x = –1, 1 (D) a = –2, b = –1 and f is not differentiable at x = –1, 1

20. Let f(x) = ax 2 3 xe , x 0 x ax x , x 0       

where a is a positive constant. The interval in which f " (x)0, is (A) a 2a, 3 3        (B) a , a 2       (C) 2 a , a 3        (D) a , 3     

(7)

Space For Rough Work

MATHEMATICS 21. Let f(x) = 2 1 1 x for 1 x 1 1 1 log for x 1 x            

. Then which alternate is incorrect

(A) f is continuous at x = 1 (B) f is not differentiable at x = 1

(C) f is continuous and differentiable at x = 1 (D) f '(x) exists for all x (0, 1)

22. Let a, b, c be real numbers and a < b < c. f is continuous on [a, c] and differentiable in (a, c). If f'(x) is strictly increasing, then (c – b) f(a) + (b – a) f(c) is

(A) greater than (c – a) f(b) (B) less than (c – a) f(b)

(C) equal to (c – a) f(b) (D) None of these

23. Consider the following two statements.

P : If f is differentiable and strictly increasing on R, then f'(x) > 0 for x R.

Q :If f(x) and g(x) are not monotonic functions on R, then f(x) + g(x) is also not monotonic on R. Then (A) both P and Q are false (B) P is false and Q is true

(C) P is true whereas Q is false (D) both P and Q are true

24. Let f(x) = 2 2 x a 9a 9 for x 2 2x 3 for x 2          

where a is a positive constant. If f(x) has local minimum at x = 2, then a lies in the interval

(8)

Vibrant Academy (I) Pvt. Ltd. "A-14(A)"Road No.1, IPIA, Kota (Raj.) Ph. 0744-2423406 (www.vibrantacademy.com) [8] [ I R P P T - 1 , J M _ A ] MATHEMATICS

Space For Rough Work

25. If 2 2 x x zx z z /4 0 0 e .e dz f(x) e  _  dz



then x e x e log (f (x)) dx 2  _  _    



(A) x xe c 2  (B) 2 x x e c 4  (C) 2 x x e c 2  (D) x xe c 4  26. 1/2 x 1 2 3 / 2 0 x e sin x dx (1 x )       _   



(A) e 1 1 6 3          (B) 2 e 1 6 3          (C) 2 e 1 6 3          (D) None of these

27. Let f(x) = Min {x2_{+ 1, x + 1} for 0} _ _x _ _{2. If A is the area bounded by y = f(x), the x-axis in the interval}

[0, 2], then the integral part of A is ... .

(9)

Space For Rough Work

MATHEMATICS 28. n n r r n _{r 0} C lim n (r 3) 



_  

(A) e –1 (B) e (C) e – 2 (D) None of these

29. General solution of the equation

y 2 dy 1 e dx  x x is (A) 2x = ey_(2cx2₊₁₎ _{(B) 2y = – e}x_(2cx2_{– 1) (C) 2x = e}y _(cx2_–1) _{(D) 2y = e}x_(cx2_–1) 30. 1 1 2 0 2x 1 tan 1 x x      _{ }   



dx is equal to ... (A) 0 (B) 1 (C) 2 (D) 4

(10)

Vibrant Academy (I) Pvt. Ltd. "A-14(A)"Road No.1, IPIA, Kota (Raj.) Ph. 0744-2423406 (www.vibrantacademy.com) [10] [ I R P P T - 1 , J M _ A ] PART II : PHYSICS Single Correct Choice Type

This section contains 30 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) f or its answer, out of whichONLY ONEis correct.

31. A charge –Q is uniformly distributed over a non-conducting semi-circular closed rod of radius R. The potential at the centre is : (A) 0 (B) 0 Q 4 R   (C) ₀ Q 4  (2R) (D) ₀ 2Q 4  R

32. The ratio of the time periods of small oscillation of the insulated spring and mass system before and after charging the masses is :

+ +

q q

m m

k

(A)1 (B) >1 (C)1 (D) = 1

33. A charge Q has to be divided between two solid spheres of radius 'R' which are at distance d from each other (d >>R). What should be the value of charge, which we should place on spheres, so that the force of attraction between them is maximum?

(A) Q/4, 3Q/4 (B) Q/3, 2Q/3 (C) Q/2, Q/2 (D) Q/5, 4Q/5

34. When a galvanometer is shunted with a 4resistance the deflection is reduced to 1/5. If the galvanometer is further shunted with a 2wire the new deflection will be (assuming the main current remains the same) (A) 5/13 of the deflection when shunted with 4only.

(B) 8/13 of the deflection when shunted with 4only. (C) 3/4 of the deflection when shunted with 4only. (D) 3/13 of the deflection when shunted with 4only.

(11)

Vibrant Academy (I) Pvt. Ltd. "A-14(A)"Road No.1, IPIA, Kota (Raj.) Ph. 0744-2423406 (www.vibrantacademy.com) [11] [ I R P P T - 1 , J M _ A ] PHYSICS

Space For Rough Work

35. In the given circuit, with steady current, the potential drop across the capacitor must be R V V 2V C 2R (A) V (B) V/2 (C) V/3 (D) 2V/3

36. Calculate the magnetic field at distance y from the centre of the axis of a disc of radius r and uniform surface charge density, if the disc spins with angular velocity?

(A) 2 2 0 2 2 r 2y 2y 3 _r _y          _    (B) 2 2 0 2 2 r y 2 _r _y         _    r y  (C) 2 2 0 2 2 r 2y 2y 2 _r _y          _    (D) 2 2 0 2 2 2 r 2y 2y 3 _r _y          _   

37. An electron moves straight inside a charged parallel plate capacitor of uniform surface charge density. The space between the plates is filled with constant magnetic field of induction B . The time of straight line motion of the electron in the capacitor is (electron moves with no deviation) :

× × × × × × × × × em  (A) 0 e B    (B) 0 B    (C) 0 e B   (D) 0 B e  

(12)

Space For Rough Work

38. A uniform magnetic field of intensity 1T is applied in a circular region of radius 0.1m, directed into the plane of paper. A charged particle of mass 5 × 10 –5_{kg and charge q = 5 × 10} –4_{C enters the field with velocity 1/ 3}

m/s making an angle of with a radial line of circular region in such a way that it passes through centre of applied field. angle is

(A) 60º (B) 30º (C) 45º (D) 90º

39. A conducting bar is pulled with a constant speed v on a smooth conducting rail. The region has a steady magnetic field of induction B as shown in the figure. If the speed of the bar is doubled then the rate of heat dissipation will

v B

(A) Remain constant (B) Become quarter of the initial value

(C) Become four fold (D) Get doubled

40. The coefficient of mutual inductance of the two coils is 0.5H. If the current is increased from 2A to 3A in 0.01 sec. in one of them, then the induced e.m.f. in the second coil is :

(13)

Space For Rough Work

41. The space has electromagnetic field which is given asB –B k  ₀ˆ and E E k  ₀ˆ . A charged particle having

mass m and positive charge q is given velocity _{v i}₀ˆ _{at origin at t = 0 sec. The z-coordinate of the particle}

when it passes through the z-axis is (neglect gravity through motion). (A) 2 0 2 0 2 mE qB  (B) 2 0 2 0 4 mE qB  (C) 20 0 mE qB (D) 2 0 2 0 –4 mE qB 

42. An infinite uniform current carrying wire is kept along z-axis, carrying currentI₀ in the direction of the positive

z-axis.OABCDEFG represents a circle (where all the points are equally spaced), whose centre at point (4m,

0 m) and radius 4m as shown in the figure. If 0 0

DEF

B. d

k

 



  I in S._I unit, then the value of k is

X Y (4m,0m) A B C D E F G O (A) 4 (B) 8 (C) 3 (D) 6

43. An uncharged capacitor C and a variable resistance R are connected to an ideal source and two resistors with the help of a switch at t = 0 as shown in the figure. Initially capacitor is uncharged and switch S is closed at t = 0 sec. The graph between V_B – V_A for variable resistor R for its three different values R₁, R₂, and R₃ versus time is shown in the figureII. Choose the correct statement.

C _A R B S V R2 R1 R3 V –VB A ideal source r r time

(14)

Space For Rough Work

44. Two identical charged particles each carrying charge q = 0.1 mC and of mass m = 10 mg are projected along two parallel lines separated by a distance ‘’, with equal speed V₀ = 104 m/s in opposite directions. In the

beginning electrostatic interaction between the charges can be ignored due to a large distance between them. The minimum distance between the particles is found to be 12 cm. The value of is equal to :

(A) 6 cm (B) 8 cm (C) 12 cm (D) 4 cm

45. Twelve infinite long wire of uniform linear charge density () are passing along the twelve edges of a cube. Find electric flux through any face of cube.

(A) 0 2     _     (B) 0    _     (C) 0 3     _     (D) 0 3     _    

46. Three metallic isolated plates are given charges as shown in figure, the sum of the charges on the outer surfaces of the two plates (1) and (3) is (whre –3Q and 4Q are total charges of plates (1) and (3) respectively.)

–3Q 4Q

1 2 3

(A) Zero (B) Q/2 (C) –Q/2 (D) –2Q

47. A tiny electric dipole of dipole moment p is placed at a distance r from an infinitely long wire, with its p normal to the wire. If the linear charge density of the wire is, the electrostatic force acting on the dipole is equal to : (A) 0 P 4 r   (B) ₀ P r   (C) ₀ 2 P r   (D) 2 0 P 2 r  

(15)

Space For Rough Work

48. In the given circuit, the potential difference across the capacitor is 12V. Each resistance is of 3. The cell is ideal. The emf of the cell is :



R C=3 F

R R R

R

(A) 15 V (B) 9V (C) 12V (D) 6/5

49. Find effective resistance between A & B.

1 ₁_ 1 1 1 1 1 A B (A) 2 (B) 1 (C) 8/7 (D) 6/5

50. A potential of 400 V is applied at the point A. The value of resistance R₁ = 1000, R₂ = 2000 and R₃ = 1000

 are connected between points A and G as shown in the figure. Point G is earthed. The measured potential difference by an ideal voltmeter connected across R₂ is :

R1 R2 R3 A G (A) 100 V (B) 200 V (C) 300 V (D) 400 V

(16)

Space For Rough Work

51. The charge flown from P to Q when the switch S is closed is :

S 5V P Q 3 F 2 F (A) 3C (B) 6C (C) 9C (D) 15C

52. In the given circuit diagram, the key K is switched on at t = 0. The ratio of the current i through the cell at t = 0 and at t = will be.

i  K C L 3R R 6R (A) 3 : 1 (B) 1 : 3 (C) 1 : 2 (D) 2 : 1

53. The location of three long wires carrying same currentI are x = –a, x = 0 and x = +a respectively as shown

in figure. The magnetic field at point (0, 0, a) is :

x y I I I _x (0,0,0) (A) 0 2 a   I (B) 0 2 a   I (C) 0 2 2 a   I (D) Zero

(17)

Space For Rough Work

54. The magnetic field at the centre of the circular loop as shown in the figure, where a single wire is bent to form a circular loop and also extends to form straight sections. Assume that wire do not touch at turn of circle

A I B R C 90º (A) 0 2R  I  (B) 0 1 1 2R 2          I (C) 0 1– 1 2R 2         I (D) 0 1 1 2R 2           I

55. In the figure shown a coil of single turn is wound on a sphere of radius r and mass m. The plane of the coil is parallel to the inclined plane and lies in the equatorial plane of the sphere. If sphere is in rotational equilibrium the value of B is (current in the coil is i)

O B mg  (A) mg ir  (B) mgsin i   (C) mgrsin i   (D) None of these

56. There is a uniform magnetic field B in a circular region of radius R as shown in the figure whose magnitude changes at the rate dB/dt. The emf induced across the ends of a circular concentric conducting arc of radius R₁ having an angle as shown (OAO =) is :

O O' R A R1 (A) 12 dB R 2 dt   (B) 2 dB R 2 dt  (C) ₂_R2 dB_dt (D) None of these

(18)

57. The power factor of the circuit is 1/ 2 . The capacitance of the circuit is equal to :

10 0.1H

C ~

2sin(100t)

(A) 400F (B) 300F (C) 500F (D) 200F

58. A conducting rod of length is hinged at point O. It is free to rotate in vertical plane. There exist a uniform

magnetic field B in horizontal direction perpendicular to paper plane inwords. The rod is released from position shown in the figure. Potential difference between two ends of the rod is proportional to :



B



O

(A)3/2 (B)2 (C) sin/2 (D) sin

59. in L-C-R series circuit

(A) Current may achieve same value for two different value of frequency. (B) Current can not achieve same value for two different values of frequency. (C) Current is maximum for a maximum value of frequency.

(D) None of these

60. A given LCR series circuit satisfies the condition for resonance with a given AC source. If the angular fre-quency of the AC source is increased by 100%, then in order to establish resonance, and without changing the value of inductance, capacitance must be.

(A) Increased by 100% (B) Reduced by 50% (C) Increased by 75% (D) Reduced by 75%

Space For Rough Work

(19)

PART III : CHEMISTRY Single Correct Choice Type

This section contains 30 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) f or its answer, out of whichONLY ONEis correct.

61. Which compound can react with Na metal.

(A) CH₃ – CH₃ (B) CH₂ = CH₂ (C) HCCH (D) CH₃ – O – CH₃

62. Critical pressure and volume of oxygen gas is 50 atmL2/mol2 and 0.075 L/mol respectively. Calculate critical temperature :

(A) 121.8 K (B) 45.67 K (C) 45.67ºC (D) 394.8 K

63. SelectINCORRECT statement :

(A) Bond energy of D₂ is more than H₂. (B) Bond length of H₂ and D₂ is same.

(C) Dielectric constant of H₂O is more than D₂O. (D) Thermal stability of H₂O is more than D₂O.

64. Which reagent is used to recover NH₃ from NH₄Cl in Solvay process.

(A) AgCl (B) Ca(OH)₂ (C) HCl (D) CO₂

(20)

Space For Rough Work

CHEMISTRY

65. Calculate the mass of a photon with wavelength 3.6 Å.

(A) 6.13 × 10 –33_kg _{(B) 6.13 × 10} –31_kg _{(C) 6.13 × 10} –29_kg _{(D) Can not determined}

66. Find the basic strength order of indicated Nitrogen

atom-NH H N2 NH O NH2 NH2 (1) (2) (3) (4) (A) 1 > 4 > 2 > 3 (B) 1 > 4 > 3 > 2 (C) 2 > 1 > 4 > 3 (D) 2 > 4 > 1 > 3

67. A elementX belongs to fourth period and fifteenth group of periodic table. Which one of the following is true statement regarding outer (valence shell) electronic configuration ofX. It has :

(A) Partially filled d-orbitals and completely filled s-orbital. (B) Completely filled s-orbital and completely filled p-orbital. (C) Completely filled s-orbital and half filled p-orbital.

(D) Half filled d-orbital and completely filled s-orbital. 68. Select the correct energy order of 2s-orbital.

(A) E_2s (H) > E_2s (Li) > E_2s (Na) > E_2s(K) (B) E_2s (H) < E_2s (Li) > E_2s (Na) > E_2s(K) (C) E_2s (H) < E_2s (Li) < E_2s (Na) < E_2s(K) (D) E_2s (H) = E_2s (Li) = E_2s (Na) = E_2s(K)

(21)

Space For Rough Work

CHEMISTRY

69. (I) (II) (III) (IV )

Which of the reactant is optically inactive product formed after reductive ozonolysis.

(A)I (B)II (C)III (D)IV

70. Which of the following reaction is not feasible

(A) PtCl₄(aq) + 2H₂(g)  Pt(s) + 4HCl(aq) (B) Be + H₂(g)  BeH₂(s) (C) 4NaNO₃(s)  2Na₂O + 2N₂(g) + 5O₂(g) (D) 2Na + O₂(g)  Na₂O₂

71. For MnO₄ –  2Mn2+ + MnO₄2–

Calculate equivalent mass of MnO₄ –_{(At. mass Mn = 55).}

(A) 17.4 (B) 23.73 (C) 87 (D) 32.45

72. The correct stability order for the following species is

O  (I)  (II) O  (III)  (IV)

(22)

Vibrant Academy (I) Pvt. Ltd. "A-14(A)"Road No.1, IPIA, Kota (Raj.) Ph. 0744-2423406 (www.vibrantacademy.com) [22] [ I R P P T - 1 , J M _ A ] CHEMISTRY

Space For Rough Work

73. Which of the following set has maximum difference in electron affinity

(A) B, Li (B) O, C (C) S, O (D) F, N

74. Calculate volume of 0.25 M NaOH required to neutralise a 100 ml solution containing 0.1 M CH₃COOH and 0.2 M K₂C₂O₄.H₂C₂O₄.

(A) 30 mL (B) 400 mL (C) 100 mL (D) 200 mL

75. Most reactive towards SN–Ar (Nucleophilic Aromatic Substitution)

(A) Br NO₂ NO₂ (B) Br NO₂ NO₂ (C) Br NO₂ (D) Br NO2

76. CORRECT order of adjacent bond angle is : (A) IO₃ –_{> XeO}

3 > BrF5 > XeF4 (B) XeO3 > IO3 – > XeF4 > BrF5

(C) XeO₃ > IO₃ –_{> BrF}

(23)

Space For Rough Work

CHEMISTRY

77. FeCr ₂O₄ + Na₂CO₃ + O₂  Na₂CrO₄ + Fe₂O₃ + CO₂

Calculate volume of air required to oxidise 1 mole FeCr ₂O₄ at 1 atm and 27ºC. (Air contain 80% N₂ and 20% O₂ by volume). R = 0.08 atm L / mol K

(A) 210 L (B) 52.5 L (C) 42 L (D) 21 L

78. HBr(1 equivalent) Major product is :

(A) Br (B)

Br (C)

Br

(D) Br

79. In which of following transformations, bond order is increased and the magnetic behaviour is also changed? (A) C₂+_ _C 2 (B) NO+ NO (C) O2+  O2 (D) N2  N2+ 80. Given : 3 100% 2 2 1 KNO (s) KNO (s) O (g) 2   50% 2 2 2 2 KNO (s)  K O(s) N (g) O (g) 

Find the ratio of rate of diffusion of N₂ and O₂ gas after completion of reactions in rigid container.

(Given : 1.05

7 8 _

)

(24)

Space For Rough Work

CHEMISTRY 81. C CH OH 1. NaNH (2eq.)₂ 2. CH CH –₃ ₂ I I 3. CH – 4. H /Pd-BaSO 3 2 4 Product (X) is : (A) CH –O–CH₂ ₃ CH₃CH₂ (B) OCH₃ CH₂CH₃ (C) CH₂ –OCH CH₂ ₃ CH₃ (D) O–CH CH₂ ₃ CH₃

82. SelectCORRECT statement :

(A) Tetra phosphoric acid has four P–O–P linkage.

(B) Pyrosulphurous acid and pyrosulphuric acid having same number of oxy linkage (S – O – S linkage). (C) In caro’s acid all oxygen atoms are in same oxidation state.

(D) In sodium dihydrogen pyrophosphate only one oxy linkage (P – O – P linkage) is present.

83. What is the maximum number of products possible when (2R, 3R) 2-chloro-3-phenylbutane is undergone

through hydrolysis (SN₁) :

(25)

Space For Rough Work

CHEMISTRY

84. For zero order reaction :

A + 2B  Product If initial concentration of A is 2a and rate law is

]º B [ ]º A [ K dt dB –  then t_1/2of A will be (A) K 2 a (B) K a 2 (C) K a (D) K 3 a

85. Select the pair in which first element shows minimum reactivity with flourine and second element shows maximum reactivity with iodine.

(A) Li, Li (B) Cs, Cs (C) Li, Cs (D) Cs, Li

86. OH CH3 H OH CH3 CH3 TsCl/py (x) Conc.H SO₂ ₄ (y)

Find the relationship in between (x) and (y) :

(A) Identical (B) Position isomer

(C) Functional isomers (D) Diastereomer

87. 113In has a decay constant of 0.0069 min –1. What will be the activity of a 20 mCi sample after 100 minutes?

(Given : ln2 = 0.69)

(26)

Space For Rough Work

CHEMISTRY

88. Which alkali metal does not form ethynide on reaction with ethyne.

(A) Li (B) K (C) Na (D) Cs

89. Given radioactive decay which takes place in a closed rigid vessel of volume 1L at 300 K

A A 16 Z X(s) Z 8 Y(s)

 



Initially 0.2 moles of element X is allowed to decay (t_1/2 (x) = 5 min). Calculate pressure of vessel after t = 10 min.

(A) 14.77 atm (B) 22.17 atm (C) 7.34 atm (D) 1.847 atm

90. Observe the reaction given

below:-Br 2 h CH OH(aq.)3 Solution "A" Br 2 Fe CH OH(aq.)3 Solution "B"

Which of the above solution are acidic ?

(27)

(28)

B. Question paper format :

9. The question paper consists of 3 parts (Physics, Chemistry and Mathematics).

10. Partscontains30multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of whichonly one is correct.

C. Marking Scheme :

11. For each question inParts, you will beawarded 4 marks if you have darkened only the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. In all other cases,minus one (–1) mark will be awarded.

Name of the candidate VA Roll Number