Electrostatics

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RP IIT-JEE PHYSICS CLASSES ELECTROSTATICS 1. Two equally charged identical metal spheres A andB repeal each other with a force F. Another identical uncharged sphere C is touched to A and then placed midway between A and B.The net force on C is in direction 1) F towards A 2) F towards B 3) 2f towards A 4) 2F towards B 2. Two charfges when kept at a distance of 1m apart in vacuum has some force of repulsion. If the force of repulsion between these two charges be same, when placed in an oil of dielectric constant 4, the distance of separation is 1) 0.25 m 2) 0.4 m 3) 0.5 m 4) 0.6 m 3. Two unlike charges separated by a distance of 1 m attracted each other with a force of 0.108 N. If the charges are in the ratio 1 : 3, the weak charge is 1) 2) 3) 4) 4 Two particles of each of mass ‘m’ and carrying charge ‘Q’ are separated by some distance. If they are in equilibrium under mutual gravitational and electro static forces, then Q/m (in c/Kg) is of the order of 1) 2) 3) 4) 5. The excess (equal in number) number of electrons that must be placed on each of two small spheres spaced 3 cm apart with force of repulsion between the spheres to be is 1

Transcript of Electrostatics

Page 1: Electrostatics

RP IIT-JEE PHYSICS CLASSESELECTROSTATICS

1. Two equally charged identical metal spheres A andB repeal each other with a force F. Another

identical uncharged sphere C is touched to A and then placed midway between A and B.The net

force on C is in direction

1) F towards A 2) F towards B 3) 2f towards A 4) 2F towards B

2. Two charfges when kept at a distance of 1m apart in vacuum has some force of repulsion. If the

force of repulsion between these two charges be same, when placed in an oil of dielectric constant

4, the distance of separation is

1) 0.25 m 2) 0.4 m 3) 0.5 m 4) 0.6 m

3. Two unlike charges separated by a distance of 1 m attracted each other with a force of 0.108 N. If

the charges are in the ratio 1 : 3, the weak charge is

1) 2) 3) 4)

4 Two particles of each of mass ‘m’ and carrying charge ‘Q’ are separated by some distance. If they

are in equilibrium under mutual gravitational and electro static forces, then Q/m (in c/Kg) is of the

order of

1) 2) 3) 4)

5. The excess (equal in number) number of electrons that must be placed on each of two small spheres

spaced 3 cm apart with force of repulsion between the spheres to be is

1) 2) 3) s 4)

6. Two identical charged spheres are suspended by strings of equal length and the strings make certain

angle with each other. When suspended in a liquid of density , the angle between the

threads remains the same. If the density of the material of the sphere is , the dielectric

constant of the liquid is

1) 1.33 2) 2 3) 3.12 4) 5

7. Three charges +q, +q ans +q are placed at the cornors of an equilateral triangle of side ‘a’. The

resultant electric force on a charge +q placed at the centre of the triangle is

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1) 2) 3) 4) Zero

8. Three identical charges magnituden are placed at the corners of a right angled triangle ABC

whose base BC and height BA are respectively 4cm and 3cm. Forces an the charges at the right

angled corner ‘B’ due to the charges at ‘A’ and ‘C’ are respectively and . The angle between

their resultant force is

1) 2) 3) 4)

9.   Two point charges +4e and +e are ‘x’ distance apart. The distance of charge ‘q’ from +e so that it is

in equilibrium is

1) 2) 3) 4)

11. Two points charges +4C and +6C repel each other with a force F. If a charge -5C is given to each of

these charges, the force becomes

1) repulsive force of 2) attractive force of

3) repulsive force of 24F 4) attractive force of 24F

12. Two point charges of 2C and -6C attact each other with a force of 12N. A negative charge of 2C is

added to -6C charge now the force between them is

1) 12N 2) 16N 3) 32N 4) 24N

13. Two identical tiny metal balls carry charges of +3nC and -12nC. They are 3cm apart. The balls are

touched together and then separated to 3cm. The force on them is

1) 2) 3) 4) 2025N

15. The ratio of electric force to the gravitationl force between two protons separated by a finite distance

is of the order of

1) 2) 3) 4)

16. A charge of is divided into two parts such that their charges are in the ratio 2 : 3. These two charges

are kept at a distance 1m apart in vaccum.Them, the electric force between them (in newton) is

1) 0.216 2) 0.00216 3) 0.0216 4) 2.16

17. Two charges 2C and 6C are separated by finite distance. If a charge of -4C is added to each of them.

The initial force of will charge to

1) repulsion 2) repulsion

3) attraction 4) attraction

18. Two charges and are placed in vaccum at a distance d and the acting between them is 5 units.

If a medium of dielectric constant 2 is introduced around them, the force now will be

1) 10 2) 2.5 3) 5 4) infinite

19. If the force between two charged objects is to be left unchanged even though the charge on one of 2

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the object is halved keeping the other same, the original distance of separation should be charged to

1) 2d 2) 3) 4) d

20. Two identical metallic spheres A and B carry charges +Q and -2Q respectively. The force between

them is F newton, when they are separated by a distance d in air. The spheres are allowed to touch

each other and are moved back to their initial position. The force between them now is

1) 2F 2) 3) 4) 8F

21. Three charges each equal to are placed at the cornors of equilateral triangle of side 1 m. The

force on one of the charges is

1) 2) 3) 4)

22. Charges of , and are placed in air at the corners A, A and C respectively of an

equilateral triangle of side 2cm. The resultant force on the charge at ‘C’ is

1) 9000N 2) 900N 3) 4500N 4) 450N

23. Two charges and are placed at a distance of 10cm. The distance of third charge from one

of the charges so that it does not experience any force is

1) from 2) 5.858 cm from

3) 3.52 cm from 4) 6.48 cm from

25. Electric charges of , and are placed in air at the cornors A, A and C respectively

of a equilateral triangle ABC having length of each side 10 cm. The resulatant force on the charge at

C is

1) 0.9N 2 ) 1.8N 3) 2.7N 4) 3.6N

26. A charge +q is fixed to each of three cornors of a square. On the empty cornor a charge Q is placed

such that there is no net electrostatic force acting on the diagonally opposite charge. Then

1) 2)

3) 4)

27. Equal and similar charges are placed on the earth and the moon. The numerical value of charge

requied to neutralise the gravitational attraction is (Given mass earth = ,

Mass of moon = )

1) 2) 3) 4)

28. A ball of mass m=0.5kg is suspended by a thread and a charge is supplied. When a ball with

diameter 5cm and a like charge ball, but below it, the tension decreses to 1/3 of its initial value. The

distance between centres of the balls is3

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1) 2) 3) 4)

29. In the figure shown, the electric field intensity at r=1m,r=9m in is

1) 2) 3) 4)

30. The breakdown electric intensity for air is . The maximum charge that can be held by a

sphere of radius 1 mm is

1) 0.33C 2) 0.33nC 3) 3.3C 4)

31. Two charged partiles of masses m and 3 m have charges 3q and q respectively. They are kept in a

uniform electric field and allowed to move for the same time. The ratio of their kinetic energies is

1) 2) 3) 4)

32. Two point charges of magnitude and are 0.5 m apart. The electric intensity is zero at a

distance ‘x’ m from ‘A’ and ‘y’ m from ‘B’. ‘x’ and ‘y’ are respectively

1) 0.5 m, 10m 2) 1.0m, 1.5m 3) 2.0m, 1.5m 4) 1.5m, 2.0m

33. If the electric field between the plates of a cathode ray oscillations be , the deflection

that an electron to the field with kinetic energy 2000eV is (The deflection assembly is 1.5cm long.)

1) 0.34cm 2) 3.4cm 3) 0.034 mm 4) 0.34 mm

34. Changes of each are placed at two opposite cornors of a square of side and

Each at the remaining 2 cornors. The electric intensity at the centre of the square is

1) 2)

3) Zero 4)

35. An electron moving along positive X-axis with a speed of enters the region of a uniform

electric field. The electron stops after traveling a distance of 90mm in the field. The electric field

strength is (charge on electron = , Mass of electron = )

1) , along –ve X-axis 2) , along –ve X-axis

3) , along +ve X-axis 4) , along +ve X-axis

36. Two electric charges Q and 4Q are separated by a certain distance. If the electric intensity at Q is E,

the electric intensity at the other charge is

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1) 4E 2) 3) 4) 2E

37. Two equal charges ‘q’ of opposite sign are separated by a small distance ‘2a’. The electric intensity

‘E’ at a point on the perpendicular bisector of the joining the two charges at a very large distance r’

from the line is

1) 2) 3) 4)

38. Two equal charges ‘q’ of opposite sign are separated by a small distance ‘d’. The electric intensity

‘E’ at a point on the straight line passing through the two charges at a very large distance ‘r’ from

the midpoint of two charges is

1) 2) 3) 4)

39. An electric field is acting vertically upwards a small body of mass 1gm and charge projected

with a velocity 10m/s at angle withhrizontal range is 2m then intensity of electric field is:

1) 20000N/C 2) 10000N/C 3) 40000N/C 4) 90000N/C

40. A bob of a simple pendulum of mass 40gm with a positive charge oscillating with a time

period . An electric field of intensity is applied vertically upwords. Now the time

period is the value of is

1) 0.16 2) 0.64 3) 1.25 4) 0.8

41. A proton (mass=M) and a mass=4M) are sent into an electric field. The ratio of

accelerations of the proton and

1) 2) 3) 4)

42. Strength of the electric field in which an electron will experience a force equal to its weight is

1) 2.)

3) 4)

43. Charges 20, 30, -40 and are at the corners of a square of 10 cm. The field at the point of

intersection of the diagnols is

1) 2) 3) 4)

44. The vertices of an equilateral triangle lie on the circumference of radius 6 cm. Charges each of 3C are

placed at the vertices. If a charge of 1C is placed at the centre of the circle, the force acting on it is

1) 2) 3) 4) Zero

45. A pendulum bob of mass 30 mg carrying a charge of is at rest in a uniform horizontal

electric field of 20000 N/C. The tension in the thread of the pendulum is

1) 2) 3) 4)

46. ‘n’ charges Q, 4Q, 9Q, 16Q…..are placed at distances of 1, 2, 3…. Metre from a point ‘O; on the 5

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same straight line. The electric intensity at ‘O’ is

1) 2) 3) infinity 4)

47. ‘n’ charges of Q, -4Q, 9Q, -16Q… are placed distances of 1, 2, 3… metres from a point ‘Q’ on the

same strsight line. The field at ‘O’ is

1) Zero 2)

3) Zero (or) according to as ‘n’ is even (or) odd respectively 4) we cannot say

48. The mass of the sphere is and it carries a net charge equal to that of 10 electrons. If the

electric charge is and the acceleration of free fall is the field required to keep

the sphere stationary is

1) 2) 3) 4)

49. There are n electrons of charge e in a drop of oil of density . It is in equilibrium in an electric field

E. Then the radius of drop is

1) 2) 3) 4)

50. The dielectric strength air . The maximum charge that can be given to a conducting

sphere of radius 2m is

1) 2) 3) 4) infinite

51. Two charges and are placed at two corners of an equilateral triangle of side 20cm.

Electric intensity at the third corner is

1) 2)

3) 4)

52. An electron is projected in to an electric field of intensity in the field acting towards

east. Its acceleration is

1) towards west 2) towards east

3) towards west 4) towards east

53. Point of charges of are situated at each of three cornors of square whose side is 15cm.

The magnitude and dierection of electric field at the vacant corner of the square is

1) 2296 V/m along the diagonal 2) 9622 V/m along the diagonal

3) 22.0 V/m along the diagonal 4) zero

54. Two point charges –q and +q/2 are situated at the origin and at the point respectively. The

point along the x-axis where the electric field vanishes is

1) 2) 3) 4)

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55. Aelectric field of exists between two parappel plates of length 2 cm. An electron enters

the region between the plates at right angles to the field with a kinetic energy of . The

deflection that the electron experiences at the deflecting plates is

1) 0.34 mm 2) 0.57 mm 3) 7.5 mm 4) 0.75 mm

56. There is uniform electric field of strength along y-axis. A body of mass 1 g and charge

is projected into the field from origin along the positive x-axis with a velocity 10 m/s. Its speed

in m/s after 10s is (neglect gravitation)

1) 10 2) 3) 4) 20

57. A particle of mass m and charge q is placed at rest uniform electric field E and then released. The

kinetic energy attained by the particle after moving a distance y is

1) 2) 3) 4)

58. Acharge of is placed at the electric field at (1, 1) cm due to it (in N/C) is

1) 2) 3) 4)

59. The point charges +1C, +1C and -1C are placed at the vertices A, B and C of an equilateral triangle at

of side 1 m. Then

(A) The force acting on the charge at A is

(B) The electric field strength at A is

1) A is correct but B is wrong 2) B is correct but A is wrong

3) Both A and B are wrong 4) Both A and B are correct

60. Two point charges and are piaced at distance b=1 cm and a=2 cm form the origin

on the x axes as showen in figure. The electric field vector at point (a, b) will subtend an angle with

x-axis given by

1) 2) 3) 4)

61. A point charge q is placed at origin. Let and be the electric fields at three points

and due to charge q. Then

1) 2) 3) 4)

62. A ball of mass m 5 g and charge moves from point A whose potential is 500 V to a point B

whose potential is zero. The velocity of the ball at the point B, if its velocity at the pont A is zero, is

1) 2) 3) 4)

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63. Two concentric, thin metallic soherical shells of radii and bear charges and

respectively. Then the potential at radius ‘r’ between and will be times

1) 2) 3) 4)

64. An oil drop carrying charge ‘Q’ is held in equilibrium a potential difference of 600V between the

horizontal plates. In order to hold another drop of twice the radius in equilibrium a potential drop of

1600V had to be maintained. The charge on the second drop is

1) 2) 2Q 3) 4) 3Q

65. A charge of in an electric field is acted upon by a force 2.5N. The potential gradient at this

Point is

1) 2) 3) 4)

66. An electric cell does 5 joules of work in carrying 10 Coulomb’s of charge around a closed circuit. The

emf of the cell is

1) 2V 2) 0.5V 3) 4V 4) 1V

67. A charge at the origin, at +7 cm and at -7 cm are laced on X-axis. The mutual

potential energy of the system is

1) 2) 3) 4)

68. Four equal charges Q are placed at the four corners of a square of sicde ‘a’ each. Workdone in

removing a charge –Q from its centre to infinity is

1) Zero 2) 3) 4)

69. The absolute potential due to the two charge configuration as shown in figure at a point P is

1) Zero 2) 3) 4)

70. Two equal charges ‘q’ of opposite sign are separated by a small distance ‘2l’. The electric potential at

a point on the perpendicular bisector of the line joining the two charges at a distance ‘r’ is

1) 2) 3) Zero 4)

71. The potential at the origin is zero due to electric field . The potential at point

P(2m, 2m) is 8

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1) 100V 2) 50V 3) -100V 4) -50V

72. Two electric charges of and are placed 0.16m apart in air. There are two points A and B

on the line joining the two charges at distances of (i) 0.04m from and in between the charges

and (ii) 0.08m from and out side the two charges. The potentials at A and B are

1) 0V, 5V 2) 0V, 0V 3) 5V, 0V 4) 5V, 10V

73. A body of mass one gram and carrying a charge pases through two points P and Q. The

electrostatic potential at Q is OV. The velocity of the body at Q is and at P is

. The potential P is

1) 150V 2) 300V 3) 600V 4) 900V

74. The spherical conductors of radii 4 m and 5 m are charged to the same potential. If and be the

respective value of the surface desity of charge on the two conductors, then the ratio the is

1) 2) 3) 4)

75. Two charges each ‘Q’ are released when the distance between is ‘d’. Then the velocity of each charge

of mass ‘m’ each when the distance between them ‘2d’ is

1) 2) 3) 4)

76. Two positive charges of and are respectively by 10 cm apart in air. The work to be

decrease the distance by 4 cm is

1) Zero 2) 3.8J 3) 4.8J 4) 5.76J

77. The velocity of electrons accelerated by a potential difference of 1000V is

1) 2)

3) 4)

78. 1000 small water drops each of radius ‘r’ and charge ’q’ coalesce to from one spherical drop. The

potential of big drop is larger than that of smaller ones by factor

1) 1000 2) 100 3) 10 4) 10

79. Acloud carries a charge of 1000C at a potential of 5 K.V. If the cloud discharge, the amount of energy

released

1) 2) 3) 4)

80. If the electric potential at a certain distance from a point charge is 900V and electric intensity is

. The charge is

1) 2) 3) 4)

81 An infinite nuber of charges each equal to Q are placed along the X-axis at X=1, X=8 and so on. The

potential at the point X=0 due to set of charges is

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1) 2) 3) 4)

82. Three charges each are placed at the corners of equilateral triangle of side of 0.4 m. The

potential energy of the system is

1) 2) 3) 4)

83. Two charges each and are separated by a distance 20cm in air. Work to be done to

decrease the distance to 10 cm is

1) 2) 3) 4)

84. At the corners of an equilateral triangle of side 25cm charges and are place. The

electro static potential energy of the system is

1) 2) 3) 4)

85. An infinite number of charges each equal to q are placed along the X-axis at , , ,

…. And so on. The potential and field respectively due to this set of charges at the origin is

1) 2) 3) 4)

86. The potential and electric field in the above set up if the consecutive charges have opposite sign is

1) 2) 3) 4)

87. Three charges +q, -q and –q are kept at the vertices of an equilateral triangle of 10cm side. The potential

at the midpoint in between –q, -q, if is

1) 2) 3) 4)

88. Two electric charges of and are placed 0.16m apart in air. There will be a point P at which

electric potential is zero on the line joining the two charges and in between them. The distance of P

from charge

1) 0.14m 2) 0.15m 3) 0.08m 4) 0.06m

89. Two electric charges and are placed 20 cm apart in air. There will be a point ‘P’ at which

electric potential is zero on the line joining these two charges and outside excluding the region between

them. The distance of ‘P’ from charge is

1) 0.1m 2) 0.15m 3) 0.2m 4) 0.25m

90. The electric potential potential on the surface of a sphere of radius ‘r’ due to a charge is

500V. The intensity of electric field on the surface of the sphere is

1) 25/27 2) 27/25 3) 25 4) 27

91. Three point charges 1C, 2C, -2C are placed at the vertices of an equilateral triangle of side one metre.

The workdone by an external force to increase the separation of the charges to 2 metres in joules is

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1) 2) 3) 4) 0

92. A charged sphere of diameter 4cm has a charge density of . The workdone injoules when a

charge of 40nano-coulombs is moved from infinity to a point, which is at a distance of 2cm from the

surface of the sphere is

1) 2) 3) 4)

93. A body of mass 1 gm and carrying a charge pasesnfrom the point P and Q which are at electric

potentials 600V and 0V respectively. The velocity of the body at Q is 20 cm/sec. Its velocity in m/sec at

‘P’ is….

1) 2) 3) 4)

94. 1000 drops, each other of V volt, are combined to form a big drop, then the ratio of potential of the

bigger drop to that of smaller drop is

1) 1 2) 0 3)100 4) 1000

95. The electric potential V at any point in space is given by

1) The y- and z- components of the electrostatic field at any point are not zero

2) The x-component at any point is given by

3) The x-component at a point is

4) The y- and z-components of the field are constant in magnitude

96. An infinite charged sheet has a surface charge density of . In this situation the separation

between two equipotential surfaces which are having a potential difference of 5 volt is

1) 8.85 nm 2) 8.85 mm 3) 5 mm 4)

97. The electric field strength if the potential of field depends upon x, y coordinates as is

1) 2) 3) 4)

98. A large flat metal surface has uniform charge density . An electron of mass m and charge e leaves

the surface at point A with speed , and return to it at point B. The maximum value of AB is

1) 2) 3) 4)

99 .Two concentric spherical conducting shells of radii R and 2R carry charges Q and 2Q respectively,

change in electric potential on the outer shell when both are connected by a conducting wire

is

1) Zero 2) 3) 4)

100. Two equal point of charges are fixed at x=-a and x=+a on the x-axis. Another point charge Q is placed

at the origin. The change in the electrical potential energy Q, when it is displaced by a small distance

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x along the x-axis, is approximately proportional to

1) x 2) 3) 4)

IIT

The IIT’s – India

The Indian Institutes of Technology (IITs) are a group of 15 autonomousengineering and technology-oriented institutes of higher

education. Out of these first seven are governed by The Institutes of Technology Act, 1961 which has declared them as

“institutions of national importance”, and lays down their powers, duties, framework for governance etc. Remaining eight new

IITs are registered as society under Society Act. The new Institutes are in various stages of consolidation and development. The

IITs were created to train scientists and engineers, with the aim of developing a skilled workforce to support the economic and

social development of India.

In order of establishment, they are located in Kharagpur (1950; as IIT (1951),Mumbai (1958), Chennai (1959), Kanpur (1959),

Delhi (1961; as IIT 1963),Guwahati (1994), Roorkee (1847; as IIT 2001), Ropar (2008), Bhubaneswar(2008), Gandhinagar

(2008), Hyderabad (2008), Patna (2008), Jodhpur (2008),Mandi (2009) and Indore (2009). Apart from these ITBHU Varanasi is

also slated for conversion as IIT Varanasi.[4][5][6] Some IITs were established with financial assistance and technical expertise

from UNESCO, Germany, theUnited States, Japan and the Soviet Union.

The fifteen IITs are located in:

Name Short Name Established City/Town State/UT

IITKharagpur

IITKGP 1951 KharagpurWestBengal

IITBombay

IITB 1958 Mumbai Maharashtra

IITMadras

IITM 1959 ChennaiTamilNadu

IITKanpur

IITK 1959 KanpurUttarPradesh

IITDelhi

IITD 1963 NewDelhi

NewDelhi

IITGuwahati

IITG 1994 Guwahati Assam

IITRoorkee

IITR 2001 Roorkee Uttrakhand

IITRopar

IITRPR 2008 Rupnagar Punjab

IITBhubaneswar

IITBBS 2008 Bhubaneswar Orissa

IITHyderabad

IITH 2008 HyderabadAndhraPradesh

IITGandhinagar

IITGn 2008 Gandhinagar Gujarat

IITPatna

IITP 2008 Patna Bihar

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IITRajasthan

IITJ 2008 Jodhpur Rajasthan

IITMandi

IITMandi

2009 MandiHimachalPradesh

IITIndore

IITI 2009 IndoreMadhyaPradesh

UNDERGRADUATE PROGRAMMEThe B.Tech. degree is the most common undergraduate degree in the IITs in terms of student enrollment, although Dual

Degrees, Integrated Master of Science and Master of Arts degrees are also offered. The B. Tech course is based on a 4-year

program with eight semesters,while the Dual Degree and Integrated courses are 5-year programs with ten semesters. In all IITs,

the first year of B.Tech. and Dual Degree courses are marked by a common course structure for all the students, though in

some IITs, a single department introduction related course is also included.The common courses include the basics from most

of the departments like Electronics, Mechanics, Chemistry, and Physics. At the end of first year (the end of first semester at IIT

Madras), an option to change departments is given to meritorious students on the basis of their performance in the first two

semesters.Few such changes ultimately take place as the criteria for them are usually strict,limited to the most meritorious

students.

From the second year onwards, the students study subjects exclusively from their respective departments. In addition to these,

the students have to take compulsory advanced courses from other departments in order to broaden their education. Separate

compulsory courses from humanities and social sciences department, and sometimes management courses are also enforced.

At the end of third year, the undergraduate students have to undertake a summer project at an industry or reputed academic

institute as part of the curriculum. In the last year of their studies, most of the students are placed into industries and

organisations via the placement process of the respective IIT, though some students opt out of this either when going for higher

studies or when they take up jobs by applying to the companies directly.

Postgraduate and doctoral education

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The IITs offer a number of postgraduate programs including Master of Technology (M.Tech.), Master of Business Administration

(MBA) (only for engineers and post graduates in science), and Master of Science (M.Sc.). Some IITs offer specialised graduate

programmes such as the Post Graduate Diploma in Information Technology (PGDIT), Master in Medical Science and

Technology (MMST), Master ofCity Planning (MCP), Master of Arts (MA), Postgraduate Diploma in Intellectual Property Law

(PGDIPL), Master of Design (M.Des.), and the Postgraduate Diploma in Maritime Operation & Management (PGDMOM). The

IITs also offer the Doctor of Philosophy degree (Ph.D.) as part of their doctoral education programme. In it, the candidates are

given a topic of academic interest by the professor or have to work on a consultancy project given by the industries. The

duration of the program is usually unspecified and depends on the specific discipline. Ph.D. candidates have to submit a

dissertation as well as provide an oral defence for their thesis. Teaching Assistantships(TA) and Research Assistantships (RA)

are often provided. Some of the IITs offer an M.S. (by research) program; the M.Tech. and M.S. are similar to the US

universities’ non-thesis (course based) and thesis (research based) masters programs respectively. The IITs, along with NITs

and IISc, account for nearly 80% of all PhDs in engineering.

The IITs also offer an unconventional B.Tech. and M.Tech. integrated educational program called “Dual Degree”. It integrates undergraduate and postgraduate studies in selected areas of specialisation. It is completed in five years as against six years in conventional B.Tech. (four years) followed by an M.Tech. (two years). Integrated Master of Science programs are also offered at few IITs which integrates the Undergraduate and Postgraduate studies in Science streams in a single degree program against the conventional University system. These programme was started to allow IITians to complete postgraduate studies from IIT rather than having to go to another institute. All IITs (except IIT Guwahati) have schools of management offering degrees in management or business administration.

IITJEE 2009 Rank List

Common Merit List OBC Category

Rank Aggregate Marks Rank Aggregate Marks

1 424 1 413

501 302 101 282

1001 278 201 260

1501 262 301 244

2001 249 401 231

2501 239 501 223

3001 230 601 216

3501 223 701 210

4001 216 801 204

4501 211 901 199

5001 205 1001 194

5501 200 1101 190

6001 196 1201 186

6501 191 1301 181

7000 187 1401 177

7501 184 1501 174

8001 180 1601 171

8295 178 1701 167

1801 164

1901 161

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  1930 161

SC Category ST Category PD Category

Rank Aggregate Marks Rank Aggregate Marks Rank Aggregate Marks

1 326 1 319 1 289

101 170 101 114 101 108

201 146 201 91 138 89

301 132 208 89    

401 121        

501 112        

601 105        

701 99        

601 95        

901 91        

967 69    

Index

CourseB.Tech.4 Years

IITBombay

IITDelhi

IITGuwahati

IITKanpur

IITKharagpur

IITMadras

IITRoorkee

IT-BHUVara

nasi

ISMDhanbad

1Aerospace Engineering

–     – – –      

2Agricultural & Food Engineering

        –        

3

Biological Sciences and Bioengineering

      –          

4Biotechnology

    –     –      

5

Biotechnology & Biochemical Engineering

        –        

15

Page 16: Electrostatics

6CeramicEngineering

              –  

7ChemicalEngineering

– – – – – – – –  

8CivilEngineering

– – – – – – – –  

9ComputerScience & Engineering

– – – – – – – – –

10ElectricalEngineering

– – – – – – – –  

11ElectricalEngineering (Power)

  –              

12

Electronics& Communication Engineering

    –       –    

13

Electronics& Electrical Communication Engineering

        –        

14Electronics Engineering

              – –

15EnergyEngineering

        –        

16EngineeringPhysics

– –       –      

17IndustrialEngineering

        –        

                     

18

Production and IndustriaEngineering

  –         –    

19Instrumentation Engineering

        –        

16

Page 17: Electrostatics

20Manufacturing Science and Engineering

        –        

21Materials & Metallurgical Engineering

      –          

22Mechanical Engineering

– – – – – – – – –

23Metallurgical & Materials Engineering

        – – –    

24

Metallurgical Engineering & Materials Science

–                

25Metallurgical Engineering

              –  

26Mineral Engineering

                –

27Mining Engineering

        –     – –

28Mining Machinery Engineering

                –

29

Naval Architecture & Ocean Engineering

          –      

30

OceanEngineering & Naval Architecture

        –        

31Petroleum Engineering

                –

32Pulp& Paper Engineering

            –    

33TextileTechnology

 

17