16
General Instructions : (i) The test is of 3 hours duration. This Question Paper is of total 16 Pages (ii) This paper consists of 90 questions. The maximum marks are 360. (iii) There are THREE parts in the question paper. The distribution of marks subjectwise in each part is as under for each correct response. Part A – PHYSICS (+4, –1) (120 marks) – 30 questions Part B – MATHEMATICS (+4, –1) (120 marks) – 30 questions Part C – CHEMISTRY (+4, –1) (120 marks) – 30 questions (iv) Each question has 4 choices (A), (B) ,(C) and(D), out of which ONLY ONE is correct. Candidates will be awarded FOUR marks each for indicating correct response of each question. ONE mark will be deducted for indicating incorrect response of each question. Useful Data Gas Constant R = 8.314 J K 1 mol 1 1 Faraday = 96500 Coulomb = 0.0821 Lit atm K 1 mol 1 1 calorie = 4.2 Joule = 1.987 2 Cal K 1 mol 1 1 amu = 1.66 10 –27 kg Avogadro’s Number N a = 6.023 10 23 1 eV = 1.6 10 –19 J Planck’s constant h = 6.625 10 34 J s = 6.625 10 –27 erg s Atomic No: H = 1, D = 1, Li = 3, Na = 11, K = 19, Rb = 37, Cs = 55, F = 9, Ca = 20, He = 2, O = 8, Au = 79, Ni = 28, Zn = 30, Cu = 29, Cl = 17, Br = 35, Cr = 24, Mn = 25, Fe = 26, S = 16, P = 15, C = 6, N = 7, Ag = 47. Atomic Masses: He = 4, Mg = 24, C = 12, O = 16, N = 14, P = 31, Br = 80, Cu = 63.5, Fe = 56, Mn = 55, Pb = 207, Au = 197, Ag = 108, F = 19, H = 1, Cl = 35.5, Sn = 118.6, Na = 23, D = 2, Cr = 52, K = 39, Ca = 40, Li = 7, Be = 4, Al = 27, S = 32.1 Name of the Student Roll Number I have verified all the information filled in by the Candidate …………………………………………………….. Signature of the Invigilator I have read all the instructions and shall abide by them ……..…………………………………………………… Signature of the Candidate Max. Marks : 360 Max. Time : 3 hours Date: Batch: Seniors-15 RAO ALL INDIA TEST SERIES MAIN FULL TEST [6]

QP SR 15 Main Test 6

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Page 1: QP SR 15 Main Test 6

General Instructions :

(i) The test is of 3 hours duration. This Question Paper is of total 16 Pages

(ii) This paper consists of 90 questions. The maximum marks are 360.

(iii) There are THREE parts in the question paper.

The distribution of marks subjectwise in each part is as under for each correct response.

Part A – PHYSICS (+4, –1) (120 marks) – 30 questions

Part B – MATHEMATICS (+4, –1) (120 marks) – 30 questions

Part C – CHEMISTRY (+4, –1) (120 marks) – 30 questions

(iv) Each question has 4 choices (A), (B) ,(C) and(D), out of which ONLY ONE is correct.Candidates will be awarded FOUR marks each for indicating correct response of eachquestion. ONE mark will be deducted for indicating incorrect response of each question.

Useful DataGas Constant R = 8.314 J K1 mol1 1 Faraday = 96500 Coulomb

= 0.0821 Lit atm K1 mol1 1 calorie = 4.2 Joule= 1.987 2 Cal K1 mol1 1 amu = 1.66 10–27 kg

Avogadro’s Number Na = 6.023 1023 1 eV = 1.6 10–19 JPlanck’s constant h = 6.625 1034 J s

= 6.625 10–27 erg sAtomic No: H = 1, D = 1, Li = 3, Na = 11, K = 19, Rb = 37, Cs = 55, F = 9, Ca = 20, He = 2, O = 8, Au = 79, Ni = 28,

Zn = 30, Cu = 29, Cl = 17, Br = 35, Cr = 24, Mn = 25, Fe = 26, S = 16, P = 15, C = 6, N = 7, Ag = 47.Atomic Masses: He = 4, Mg = 24, C = 12, O = 16, N = 14, P = 31, Br = 80, Cu = 63.5, Fe = 56, Mn = 55, Pb = 207, Au = 197,

Ag = 108, F = 19, H = 1, Cl = 35.5, Sn = 118.6, Na = 23, D = 2, Cr = 52, K = 39, Ca = 40, Li = 7, Be = 4, Al = 27, S = 32.1

Name of the Student Roll Number

I have verified all the information filled in by the Candidate……………………………………………………..

Signature of the Invigilator

I have read all the instructions and shall abide by them……..……………………………………………………

Signature of the Candidate

Max. Marks : 360Max. Time : 3 hours

Date:Batch: Seniors-15

RAO ALL INDIA TEST SERIES

MAIN FULL TEST [6]

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2SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

PART-A: PHYSICS[Single Answer Choice Type]

This Section contains 30 multiple choice questions. Each question has 4 choices (A),(B),(C) and (D) out of which ONLY ONE is correct.= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =1. The dynamic lift force per unit wing span on an aircraft is denoted by which depends only on the

width of the wing w, the aircraft speed v and air density at the relevant height. With K as a constantwithout dimensions, a dimensionally correct formula for could be(A) 2K wv (B) 2K w v (C) 2 /K w v (D) 2 /K wv

2. The electrical resistance R of a piece of conductor is being measured by using Ohm’s law. Thepotential difference across the conductor is 8.00 V when a current of 2.00 A is flowing through it. Thevoltage and current measurements entail errors of 6% and 4% respectively. Then R is determined as

(A) 4.00 0.01 (B) 4.0 0.4 (C) 4.00 0.06 (D) 4.00 0.02

3. A homonuclear diatomic molecule is moving with a kinetic energy of 0.13 eV, when it is hit by aphoton of energy 3.55 eV. As a result the molecule dissociates and one of the atoms moves off with akinetic energy of K eV at right angles to the original direction of motion of the molecule. The otheratom moves away with a kinetic energy of 0.73 eV. The linear momentum of the photon is ignorable. Ifthe dissociation energy of the molecule is 2.48 eV, the value of K is(A) 0.13 eV (B)0.26 eV (C)0.47 eV (D)0.94 eV

4. A thin hoop of radius R rolls without slip down an inclined plane starting from rest from a verticalheight H to acquire a translational kinetic energy K. A uniform thin hollow sphere also of radius R andmass M rolls without slip down the same plane from the same vertical height to acquire a translationalkinetic energy of(A) K (B) 1.2 K (C) 1.5 K (D) 1.75 K

5. The kinetic energy needed to escape from the gravitational field of a certain planet, from its surface isK. The planet has a radius R and its mass distribution is spherically symmetric. To escape from aheight of R above its surface, the required kinetic energy is(A) / 2K (B) / 3K (C) / 5K (D) / 2K

6. An object having the mass 0.3 kg is moving along the straight line y = 0.2 m in the XY plane with an

angular momentum of 2 1ˆ0.48 k kg m s . Its linear velocity is

(A) 1ˆ8.0 i m s (B) 1ˆ8.0 i m s (C) 1ˆ8.0 j m s (D) 1ˆ8.0 k m s

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3SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

7. If the Kepler law of “areal velocity” for any planet were not satisfied, it is an indication that theplanet(A) receives a net force (B) receives a net torque(C)receives a force and a torque (D)is in equilibrium.

8. A body of mass 0.02 kg moves along the X-axis in a field of potential energy in J given by 25U k x ,where x is position in m. The total mechanical energy of the body is 1.25 J. The initial position is theorigin. The time t (in s) and x are related by the expression

(A) 0.52

0

( )1.25 5

x dxt xx

(B)

0.520

( )1.25 10

x dxt xx

(C) 0.52

0

( )1.25 5

x dxt xx

(D)

0.520

0.1( )1.25 5

x dxt xx

9. A uniform sonometer wire is divided into two segments of lengths 20 cm and 25 cm using knife-edges.If the wires were excited in their respective fundamental modes, the frequencies differ by 25 Hz. Thedifference in the frequencies of their first excited modes would be(A) 150 Hz (B) 50 Hz (C) 25 Hz (D) 15 Hz

10. A uniform cable of length 0.25 m and area of cross-section 6 22 10 m is suspended from a rigidsupport. The free end of the cable is tied to one end of a light spring of force constant 0.1 MPa. Undera load of 160 N attached to the bottom end of the spring, the system elongates by 2.0 mm. The Young’smodulus of the material of the cable is

(A) 105 10 Pa (B) 116 10 Pa (C) 102 10 Pa (D) 124 10 Pa

11. Two moles of an ideal diatomic gas at 300 K receives heat energy of 17.4 kJ at constant pressure andthe volume of the gas is doubled as a result. The molecules of the gas under these conditions(A) are not rotating and not vibrating (B)not rotating but vibrating(C) are rotating but not vibrating (D) rotating as well as vibrating

12. For a system at temperature T, pressure P and volume V, the relation between dT and dV is

(A)V

PdT dVC

(B) V

PdT dVC

(C)P

PdT dVC

(D)P

PdT dVC

13. A spherical surface bounds two transparent media of refractive indices 1.4 in medium 1 on the left and1.6 in the medium 2 on the right. The center of curvature is 0.10 m to the right from the surface. A pointobject is located on the axis at a distance of 1.92 m on the right in the second medium. The image is ata distance of(A) 1.2 m to the left of the boundary (B) 1.5 m to the left of the boundary(C) 0.75 m to the right of the surface (D) 2.2 m to the left of the boundary

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4SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

14. A triangular optical prism is made of a material with refractive index 1.414. The apex angle of theprism is 60º. The minimum value of the angular deviation possible with this prism is

(A) 30º (B) 45º (C) 53º (D) 15º

15. A parallel beam of monochromatic light is incident normally on a narrow slit. Diffraction pattern isobserved on a screen placed perpendicular to the beam. The two beams coming from the edges toarrive at the first minimum have a phase difference of(A) / 4 (B) / 2 (C) (D) 2

16. In a Young’s two-slit experiment, light of wavelength 600 nm is used with the slits separated by0.28mm and interference fringes observed on a screen 1.4 m away from the slit plane. At a distanceof 1.2cm from the central bright fringe, we should find(A) the fourth bright fringe (B) the third dark fringe(C) second bright fringe (D) fifth bright fringe

17. If k is the angular wavenumber, the angular frequency, mE and mB represent the amplitudes of theelectric and magnetic fields repsectively in an electromagnetic wave, expressions for the electric

field E

and magnetic field B

could be written as (with ˆˆ ˆ, ,i j k as unit vectors along the XYZ axes)

(A) ˆˆsin( ) , sin( )m mE E kx t j B B kx t k

(B) ˆˆsin( ) , cos( )m mE E kx t j B B kx t k

(C) ˆ ˆsin( ) , sin( )m mE E kx t k B B kx t j

(D) ˆ ˆsin( ) , cos( )m mE E kx t k B B kx t j

18. A Vande Graaf generator has a smaller inner sphere of radius r carrying a positive charge +q, and theouter sphere has a radius R with a positive charge + Q. The potential difference between these spheresis

(A) 104 / /Q r Q R (B) 1

04 / /Q r q R

(C) 104 / /q r Q R (D) 1

04 / /q r q R

19. A galvanometer shows full scale deflection for a current of 3.00 mA. When a resistance of 5988 ohmsis connected in series with it, the galvanometer gets converted into a voltmeter reading 18 V full scale.The resistance of the galvanometer is(A) 75 ohms (B) 60 ohms (C) 30 ohms (D) 12 ohms

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5SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

20. The electric field in a certain region is given by 1ˆ ˆ3 8E i j N C

. Choosing the zero of the

electric potential at the origin, the potential at the site ˆ ˆ2 3i j m is equal to

(A) 5 V (B) – 11 V (C) +15 V (D) – 30 V

21. A storage battery of emf 8.0 V has an internal resistance of 0.5 ohms. The battery is being charged bya 120 DC source of negligible internal resistance in series with a current-limiting resistance of15.5ohms . The terminal voltage across the battery then would be(A) 112 V (B) 118 V (C) 11.5 V (D) 8.0 V

22. The self-inductance of an ideal solenoid of length l, number of turns per unit length n, area of cross-section A and filled with a core of relative magnetic permeability r is given by

(A) 20rL n Al (B) 0rL n Al (C) 2

0rL n Al (D) 2 10rL n Al

23. A proton with the velocity ˆv i enters at the origin, a region in which there is a uniform electric field

ˆE E j

and a uniform magnetic field B

present. After passing through a length h in the region, theproton emerges with the same initial velocity. The magnetic field components could be

(A) 0, 0, /x y zB B B E v (B) 0, 0, /x y zB B B E v

(C) 0, 0, /y z xB B B E v (D) 0, / , 0z x yB B E v B

24. A magnetic hysterisis loop is asociated with(A) only diamagnetic materials (B) only paramagnetic materials(C) both dia and paramagnetic materials (D) ferromagnetic materials

25. A closed loop of current placed in a uniform magnetic field experiences(A) a net force (B) a net torque and no force(C) no force and no torque (D) net force and net torque

26. An alternating source of emf 35sin 350 / 4E t is connected to a load, producing the current .

0.50sin 350 3 / 4i t . The load could consist of

(A)a resistance 70

(B)a 200 mH inductor(C)a 40.8 F capacitor(D) 200 mH inductor and 20.4 F capacitor in series

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6SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

27. In a certain hydrogen-like atomic system, the de Broglie wavelength of the electron is 1.8 nm in a levelwith the Bohr quantum number 3. The de Broglie wavelength of the electron in a level with the Bohrquantum number 4 is(A) 0.6 nm (B) 1.2 nm (C) 1.6 nm (D) 2.4 nm

28. A rectangular loop of sides 8 cm and 2 cm having a resistance of 1.6 ohms is present in a uniformmagnetic field directed normal to the plane of the loop. The magnitude of the magnetic field is reducedat the constant rate of 0.02 T per second. The power genrated as heat in the loop is(A) 0.16 nW (B) 0.32 nW (C) 0.64 nW (D) 1.28 mW

29. Magic numbers in nuclear physics are 2,8,20,28,50,82 and 126. This means that a nucleus with amagic number of(A) protons is relatively more stable(B) neutrons is relatively more stable(C) mass number is relatively more stable(D) either protons or of neutrons is relatively more stable.

30. The wavelength of emission of LEDs depends on(A) the number density of majority charge carriers(B) the number density of minority charge carriers(C) the number density of intrinsic carriers(D) the band gap of the material of the LED

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7SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

PART-B: MATHEMATICS[Single Answer Choice Type]

This Section contains 30 multiple choice questions. Each question has 4 choices (A),(B),(C) and (D) out of which ONLY ONE is correct.= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =

31. If 2 2 2 2 2 2

3 5 7 ...........upto terms1 1 2 1 2 3 1

knnn

where ,k N then k is

(A) 5 (B) 6 (C) 7 (D) None of these

32. If 1 2 3 4, , ,x x x x are roots of the equation 4 3 2(sin 2 ) (cos2 ) cos sin 0x x x x

, 0,6 2

then,

41

1

tan ii

x

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

33.2sec 3tan 5sin 7cos 52 tan 3sec 5cos 7sin 8

(A) tan2

(B) cot2

(C) sec2

(D) None of these

34. The lines L and K are symmetric to each other with respect to y x . If equation of L is y ax b ,where a, b are non zero, then equation of K is

(A) x bya a

(B) xy b

a

(C) x by

a a

(D) None of these

35. On the sides BC, CA, AB of ,le ABC semicircles 1 2 3, ,C C C are described externally if 1 2 3, ,t t t arethe lengths of common tangents of 2 3 3 1 1 2, ; , ,C C C C and C C then 1 2 3, ,t t t is

(A) 22

s (B)

2

s

(C) s (D) None of these

36. If 7 7 7 91 2 32 ,k k kC C C C then quadratic equations whose roots are , and 1 1,k k have

(where k is even)(A) one root common (B) two roots common (C) no roots common (D) none of these

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8SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

37.

Figure: 1 Figure: 2If a and b be number of ways of putting six cross marks “X” in the squares given in figure 1, figure 2respectively so that each row has atleast one cross marks, then the value of a b is(A) 48 (B) 50 (C) 52 (D) None of these

38. If 4 3 1z i and and be the least and greatest values of | |z and k be the least values of4 2 4x x

x

on the interval 0, , then k =

(A) (B) (C) (D) None of these

39. If in a ,le ABC 4 4 4 2 2 2 2 2 22 2 ,a b c a b b c a c then sin A is equal to

(A) 12 (B)

12 (C)

32

(D) None of these

40. Three normals are drawn from P(14, 7) to the parabola 2 16 8 0, ,y x y A B and C are conormalpoints, then area of ABG where G is centroid of le ABC is:

(A) 403 (B)

413 (C)

433 (D) None of these

41. If the ellipse 2 2

2 17 5 13

x ya a

is inscribed in a square of side length 2 ,a then a =

(A) 65 (B) 13, 7 7,

5

(C) 13, 7 , 75

(D) No such ‘a’ exist

42. The ellipse 2 24 9 36x y and the hyperbola 2 2 2 4a x y intersect at right angles, then the equa-tion of circle through points of intersection of two conics is(A) 2 2 5x y (B) 2 25 3 4 0x y x y

(C) 2 25 3 4 0x y x y (D) None of these

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9SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

43. The range of the function

sin( ) 1 sin 2 ......2

xf x x

sin ......xnn

, where 0, ,x where [.] denote great-

est integer function.

(A) 2 2 ( )( 1),

2 2n n n n

(B) ( )( 1)

2n n

(C) 2( )( 1) 2,

2 2n n n n

(D) None of these

44.2 ln ln

lnlim 2 2ln

x xx x x

x

xx

(A) doesnot exist (B) exist and equal to 0(C) exist and equal to 2ln 2 (D) exist and equal to ln 2

45. ( ) min{1,cos ,1 sin }g x x x , then ( )g x is not differentiable at x =

(A) (B) 32

(C) 2

(D) None of these

46. Let 0

1( ) sin ,x

f x t dtt

then number of points of discontinuity of ( ) in (0, )f x is

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

47. Let ( ) 1 2 3 ...... 100f x x x x x and 2( ) ( ) ''( ) ( '( )) ,g x f x f x f x then the number

of solutions of ( ) 0g x is(A) 0 (B) 1 (C) 2 (D) None of these

48. If sin( ) sin( ) sin( )

( ) cos( ) cos( ) cos( )cos( ) cos( ) cos( )

x x xf x x x x

and

10

1

(4) 7, then ( )k

f f k

is equal to

(A) 80 (B) 70 (C) 7 (D) None of these

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10SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

49. Let 1/ 3 0 0 0 0 1

0 1/ 2 0 0 1 00 0 1/ 2 1 0 0

A B

1/ 2

, 46

xX y C

z

consider the equation

2 ....A A 2 2 2. . .... ,B B B X C then x y z

(A) 9 (B) 10 (C) 11 (D) None of these

50. The value of k for which the equation 2 | |xx e k has four real roots

(A) 0 k e (B) 2

80 ke

(C) 2

40 ke

(D) None of these

51. Minimum value of 22

2 11 2 2 2(17 )( 13)

20xx x x x

where 1 2, (13,17)x R x

(A) 25 2 2 (B) 2

5 2 2 (C) 5 2 2 (D) None of these

52. A bag contains tickets numbered 1 to 25. Five tickets are drawn at random and arranged in ascendingorder. The probability that 2nd and 4th bear the numbers 12 and 18 respectively.

(A) 1

115 (B) 1

230 (C) 1

57 (D) None of these

53. If ˆ ˆ ˆˆ ˆ ˆ ˆ ˆ ˆ 0i a j i j a k j k a i k , then a is equal to

(A) ˆˆ ˆ

3i j k

(B) ˆˆ ˆ

2i j k

(C) ˆˆ ˆi j k (D) None of these

54. Through ( , , )P h k l a plane is drawn at right angle to OP to meet the coordinate axes in A,B and C. IfOP = p then area of triangle ABC is

(A) 2

2| |p h k

l (B) 3

3 | |p lh k (C)

3 2

2 | |p l

h k (D) 5

2 | |ph k l

55. If 1

1 3 2012 2014 20113x x x x dx 1

3 ,3 1

kx x c

then the value of 3k is

(A) 2015 (B) 2016 (C) 2017 (D) None of these

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11SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

56. 20

31

dxx

where [.] is Greatest integer function

(A) 2 (B) 2 1 (C) 32 (D) None of these

57. Solution of differential equation 2 2 2 2

yz dx xz dy dzx y x y

is given by

(A) 1tan ( / )x zy k e

(B) 1tan /z xy k e

(C) 1tan ( / )x yz k e

(D) None of these

58. The area enclosed by the regions formed by 2 2 6 4 12 0x y x y , 5,2

y x x is

(A) 1 38 8 6

(B)

1 38 8 6

(C)

1 38 8 6

(D) None of these

59. The mean of value 0,1,2,3,.............n with the corresponding weights 0 1, ,.........n n nnC C C respectively

is

(A) 2

1

n

n (B)

12( )( 1)

n

n n

(C) 1

2n

(D) 2n

60. The statement p q q is

(A) p q (B) p q (C) p q (D) p q

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12SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

PART-C: CHEMISTRY[Single Answer Choice Type]

This Section contains 30 multiple choice questions. Each question has 4 choices (A),(B),(C) and (D) out of which ONLY ONE is correct.= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =61. The correct relationship between the boiling points of very dilute solution of AlCl3 (T1K) and

CaCl2 (T2K) having the same molar concentration is(A) T1 = T2 (B) T1 > T2 (C) T2 > T1 (D) T2 T1

62. Which of the following compound undergoes replacement of Cl by OH by merely warming withaq NaOH

(A)

Cl

(B)

ClNO2 (C)

ClNO2

NO2

(D)

ClNO2

NO2

NO2

63. Which of the following contains three centre two electron.(A) C2H6 (B) B2H6 (C) B(OH)3 (D) Al2Cl6

64. An arsenious sulphide sol. carries a negative charge. The maximum precipitating power for this sol. ispossessed by(A) K2SO4 (B) CaCl2 (C) Na3PO4 (D) AlCl3

65. Hybridisation of P in POCl3 is(A) sp (B) sp3 (C) sp2 (D) sp3d

66. The reaction of chloroform with alcoholic KOH and p- toluidene forms

(A)

CH3

CN

(B)

NO2

CH3

Cl

(C)

CH3

NHCHCl2

(D)

CH3

NC67. In the statements regarding preparation of Ammonia

(I) Raw materials in cyanamide process are limestone, coke & 2N gas

(II) On heating 4 32andNH Cl Ca OH NH is formed

(III) In Habers process 100% yield of 3NH possible at 500º and 250C atmThe correct combination is(A) All are correct (B) I and II are correct (C) Only I is correct (D) I & III are correct

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Space For Rough Work

68. Zinc on reaction with concentrated HNO3 gives(A) NH4NO3 (B) NO2 (C) N2O (D) N2

69. Equal volumes of 10% (v/v) of HCl is mixed with 10% (v/v) NaOH solution. If density of pure NaOHis 1.5 times that of pure HCl then the resultant solution be.(A) basic (B) neutral (C) acidic (D) can’t be predicted.

70. Which of the following is a disinfectant and in a diluted form acts as an antiseptic as well?(A) Aspirin (B) Phenol (C) Veronal (D) Salol

71. Which of the following is inorganic graphite?(A) BN (B) SiC (C) B3N3H6 (D) B2H6

72.

H

Br

CH3

2

2 2 5,AgNO

H O C H OH Product

The main product is

(A)

CH3

NO2

H only (B)

CH3

H

ONO

(C)

CH3

H

ONO

+ Enantiomer (D)

CH3

NO2

H + Enantiomer

73. Iodine oxidizes 22 3S O ion into

(A) 23SO (B) 2

4SO (C) 24 6S O (D) 2S

74. An organic compound (Y) having molecular mass 60 is found to contain C = 20%, H = 6.67% andN=46.67% while rest is oxygen. On heating it gives NH3 alongwith a solid residue. The solid residuegives violet colour with alkaline copper sulphate solution. The compound (Y) is(A) CH3NCO (B) CH3CONH2 (C) (NH2)2CO (D) (NH2–CO)2NH

75. One mole mixture of CH4 & air (containing 80% N2 20% O2 by volume) of a composition such thatwhen underwent combustion gave maximum heat (assume combustion of only CH4). Then which ofthe statements are correct, regarding composition of initial mixture.(X represents mole fraction)

(A) 118X,

112X,

111X

224 NOCH (B) 21X,

81X,

83X

224 NOCH

(C) 32X,

61X,

61X

224 NOCH (D) Data insufficient

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14SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

76. Which of the following compound does not give coupling reaction with diazonium salt.

(A)

OH

(B)

OH

(C)

OH

(D) OH

77. Which of the following carbocation is most stable

(A) (B) (C) (D)

78. Pyrimidine bases present in DNA are(A) Cytosine and Adenine (B) Cytosine and Uracil(C) Thymine and Cytosine (D) Uracil and Thymine

79.

OO

O::

2 4NO BF Major product is

(A)

OO

O

O N2

(B)

OO

ONO

(C)

OO

O

N = O

(D)

OO

O

NO2

80. An example of a sulphur containing amino acid is(A) lysine (B) serine (C) Cysteine (D) tyrosine

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15SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL | KAMOTHE | NERUL | SANPADA | KHARGHAR |

Space For Rough Work

81. The reaction CH4(g) + Cl2(g) CH3Cl(g) + HCl(g) has H = –25 kCal.

BondBond

EnergykCal

C—Cl 84H—Cl 103C—H xCl—Cl y

x : y = 9 : 5

From the given data, what is the bond energy of Cl—Cl bond(A) 70 kCal (B) 80 kCal (C) 67.75 kCal (D) 57.85 kCal

82. During electrolysis of an aqueous solution of sodium sulphate, 2.4 L of oxygen at STP was liberated atanode. The volume of hydrogen at STP, liberated at cathode would be(A) 1.2 L (B) 2.4 L (C) 2.6 L (D) 4.8 L

83. The range of most suitable indicator which should be used for titration of X– Na+ (0.1 M, 10 ml ) with0.1 M HCl should be (Given: )X(bk =10–6)

(A) 2–3 (B) 3–5 (C) 6–8 (D) 8–1084. The following mechanism has been proposed for the exothermic catalyzed complex reaction.

A + B I AB 1k AB + I 2k P + AAIf k1 is much smaller than k2. The most suitable qualitative plot of potential energy (P.E.) versusreaction coordinate for the above reaction.

(A) (B)

(C) (D)

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Space For Rough Work

85. Which of the following is correct for [Ni(CN)4]2–?

(A) It is tetrahedral and diamagnetic complex(B) It is square-planar and diamagnetic complex(C) It is square-planar and paramagnetic complex(D) It is tetrahedral and paramagnetic complex.

86. The rate of a reaction is expressed in different ways as follows :

dt]B[d

dt]A[d

41

dt]D[d

31

dt]C[d

21

The reaction is:(A) 4 A + B 2C + 3D (B) B + 3 D 4 A + 2 C(C) A + B C + D (D) B + D A + C

87. For the reaction 3 A (g) + B (g) 2 C (g) at a given temperature , Kc = 9.0 . What must be thevolume of the flask, if a mixture of 2.0 mol each of A , B and C exist in equilibrium?(A) 6L (B) 9L (C) 36 L (D) None of these

88. A solution of SO2 in water reacts with H2S precipitating sulphur. Here SO2 acts as(A) An oxidizing agent (B) Reducing agent (C) An acid (D) A catalyst

89. Both geometrical and optical isomerisms are shown by(A) [Co(en)2Cl2]

+ (B) [Co(NH3)5Cl]2+ (C) [Co(NH3)4Cl2]+ (D) [Cr(ox)3]

3–

90. Which of the following is formed when carbon dioxide is passed through a brine solution saturated withammonia?(A) NH4HCO3 (B) NaHCO3 (C) Na2CO3 (D) H2CO3

“ Stay committed to your decisions, but stay flexible in your approach”

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