This practice test consists of IIT JEE 2007 question paper to help you practice for actual IIT JEE main examination. Students who have appeared for IIT JEE 2011 exam can check IIT JEE cutoff, solutions & results on the official site of IIT.

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This section contains 9 multiple choice questions numbered 1 to 9. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

Q. No. – 1. A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inside the emptied space is

non-uniform

zero only at its center

zero everywhere

non-zero and uniform

Q. No. – 2. A magnetic field exists in the region and , in the region , where is a positive constant. A positive point charge moving with a velocity , where is a positive constant, enters the magnetic field at . The trajectory of the charge in this region can be like,

Q. No. – 3. A small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a maximum height of with respect to the initial position. The object is

disc

solid sphere

hollow sphere

ring

Q. No. – 4. Electrons with de-Broglie wavelength Î» fall on the target in an X-ray tube. The cut-off wavelength of the emitted Xrays is

Q. No. – 5. A student performs an experiment to determine the Youngâ€™s modulus of a wire, exactly 2 m long, by Searleâ€™s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of Take (exact). The Youngâ€™s modulus obtained from the reading is

Q. No. – 6. Positive and negative point charges of equal magnitude are kept at , respectively. The work done by the electric field when another positive point charge is moved from to is

negative

zero

depends on the path connecting the initial and final positions

positive

Q. No. – 7. In the experiment to determine the speed of sound using a resonance column,

in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air

prongs of the tuning fork are kept in a horizontal plane

prongs of the tuning fork are kept in a vertical plane

in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air

Q. No. – 9. A particle moves in the plane under the influence of a force such that its linear momentum is , where A and k are constants. The angle between the force and the momentum is

This section contains 4 questions numbered 10 to 13. Each question contains STATEMENT-1 (Assertion) and STATEMENT-2Q. No. – 10. STATEMENT-1: A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the coil.BecauseSTATEMENT-2: In the above situation, a current is induced in the ring which interacts with the horizontal component of the magnetic field to produce an average force in the upward direction.

Statement -1 is True, Statement-2 is False.

Statement -1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.

Statement -1 is False, Statement-2 is True.

Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.

Q. No. – 11. STATEMENT-1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant.becauseSTATEMENT-2:The linear momentum of an isolated system remains constant.

Q. No. – 12. STATEMENT-1: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume.becauseSTATEMENT-2: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

Q. No. – 13. STATEMENT-1: A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table.because STATEMENT-2: For every action there is an equal and opposite reaction.

This section contains 2 paragraphs P14-16 and P17-19. Based upon each paragraph,

The figure shows a surface XY separating two transparent media, medium â€“ 1 and medium -2. The lines ab and cd represent wavefronts of a light wave travelling in medium-1 and incident on XY. The lines ef and gh represent wavefronts of the light wave in medium-2 after refraction.Q. No. – 14. Light travels as a

parallel beam in each medium

divergent beam in each medium

divergent beam in one medium and convergent beam in the other medium.

convergent beam in each medium

Q. No. – 15. The phases of the light wave at c, d, e and f are and respectively. It is given that

Q. No. – 16. Speed of the light is

image:’savvica’

larger in medium-1 than in medium-2

the same in medium-1 and medium-2

larger in medium-2 than in medium-1

different at b and d

Paragraph for Question Nos. 17 to 19

Q. No. – 18. The distribution of the sound intensity of the whistle as observed by the passengers in train A is best represented by

Q. No. – 19. The spread of frequency as observed by the passengers in train B is

290 Hz

330 Hz

350 Hz

310 Hz

This section contains 3 questions. Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in column I have to be matched with statements (p, q, r, s) in column II. The answers to these questions have to be appropriately bubbled as illustrated in the following example.If the correct matches are A-p, A-s, B-q, B-r, C-p, C-q and D-s, then the correctly bubbled 4 Ã— 4 matrix should be as follows:

Q. No. – 21. Two wires each carrying a steady current I are shown in four configurations in Column I. Some of the resulting effects are described in Column II. Match the statements in Column I with the statements in Column II and indicate your answer by darkening appropriate bubbles in the 4 Ã— 4 matrix given in the ORS.

Q. No. – 22. Column I gives some devices and Column II gives some process on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II and indicate your answer by darkening appropriate bubbles in the 4 Ã— 4 matrix given in the ORS.

This section contains 9 multiple choice questions numbered 23 to 31. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

Q. No. – 23. Among the following, the least stable resonance structure is

24. For the process (l) (1 bar, 373 K) (1 bar, 373 K), the correct set of thermodynamic parameters is

Q. No. – 25. Cyclohexene on ozonolysis followed by reaction with zinc dust and water gives compound E. Compound E on further treatment with aqueous KOH yields compound F. Compound F is

Q. No. – 26. Consider a reaction aG + bH Products. When concentration of both the reactants G and H is doubled, the rate increases by eight times. However, when concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of the reaction is

1

2

3

0

Q. No. – 27. Among the following metal carbonyls, the C â€“ O bond order is lowest in

Q. No. – 28. A positron is emitted from . The ratio of the atomic mass and atomic number of the resulting nuclide is

22/10

23/10

22/11

23/12

Q. No. – 29. Consider a titration of potassium dichromate solution with acidified Mohrâ€™s salt solution using diphenylamine as indicator. The number of moles of Mohrâ€™s salt required per mole of dichromate is

5

4

6

Q. No. – 30. The number of stereoisomers obtained by bromination of trans-2-butene is

Q. No. – 31. A solution of metal ion when treated with KI gives a red precipitate which dissolves in excess KI to give a colourless solution. Moreover, the solution of metal ion on treatment with a solution of cobalt(II) thiocyanate gives rise to a deep blue crystalline precipitate. The metal ion is

This section 4 questions numbered 32 to 35. Each question contains STATEMENT-1 (Assertion) and STATEMENT-2 (Reason).Q. No. – 32. STATEMENT-1: Molecules that are not superimposable on their mirror images are chiralbecauseSTATEMENT-2: All chiral molecules have chiral centres.

Statement-1 is False, Statement-2 is True

Statement-1 is True, Statement-2 is False

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

Q. No. – 33. STATEMENT-1: Alkali metals dissolves in liquid ammonia to give blue solutionbecauseSTATEMENT-2: Alkali metals in liquid ammonia give solvated species of the type (M = alkali metals).

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-

Q. No. – 34.STATEMENT-1: Band gap in germanium is small.becauseSTATEMENT-2: The energy spread of each germanium atomic energy level is infinitesimally small.

Q. No. – 35.STATEMENT-1: Glucose gives a reddish-brown precipitate with Fehling’s solution.becauseSTATEMENT-2: Reaction of glucose with Fehlingâ€™s solution gives CuO and gluconic acid.

This section contains 2 paragraphs 36-38 and 39-41. Based upon each paragraph, 3 multiple choice questions have to be answered.Reimer-Tiemann reaction introduces an aldehyde group, on to the aromatic ring of phenol, ortho to the hydroxyl group. This reaction involves electrophilic aromatic substitution. This is a general method for the synthesis of substituted salicyladehydes as depicted below.

Q. No. – 36. Which one of the following reagents is used in the above reaction?

Q. No. – 37. The electrophile in this reaction is

38. The structure of the intermediate I is

Paragraph for question Nos 39 to 41

Redox reactions play a pivotal role in chemistry and biology. The values of standard redox potential of two half-cell reactions decide which way the reaction is expected to proceed. A simple example is a Daniel cell in which zinc goes into solution and copper gets deposited. Given below are a set of half-cell reactions (acidic medium) along with their (V with respect to normal hydrogen electrode) values. Using this data obtain the correct explanations to Questions 39-41.

Q. No. – 39. Among the following, identify the correct statement.

Iodide ion is oxidized by chlorine

Chloride ion is oxidized by

Q. No. – 40. While is stable, is not stable in acid solution because

Q. No. – 41. Sodium fusion extract, obtained from aniline, on treatment with iron (II) sulphate and in presence of air gives a Prussian blue precipitate. The blue colour is due to the formation of

This section contains 3 questions. Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in Column-I have to be matched with statements (p, q, r, s) in Column-II. The answers to these questions have to be appropriately bubbled as illustrated in the following example.

If the correct matches are A-p, A-s, B-q, B-r, C-p, C-q and D-s, then the correctly bubbled 4 Ã— 4 matrix should be as follows:

Q. No. – 42. Match the reactions in Column I with nature of the reactions/type of the products in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 Ã— 4 matrix given in the ORS.

Q. No. – 43. Match the compounds/ions in Column I with their properties/reactions in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 Ã— 4 matrix given in the ORS.

Q. No. – 44. Match the crystal system/unit cells mentioned in Column I with their characteristic features mentioned in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 Ã— 4 matrix given in the ORS.

Q. No. – 45. Let be unit vectors such that . Which one of the following is correct?

Q. No. 46. Let for and then equals

Q. No. – 47. equals

Q. No. – 48. The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is

192

360

96

48

Q. No. – 49. If and , then all the values of lie on

the x-axis

the y-axis

a line not passing through the origin

Q. No. – 50. Let ABCD be a quadrilateral with area 18, with side AB parallel to the side CD and AB = 2CD. Let AD be perpendicular to AB and CD. If a circle is drawn inside the quadrilateral ABCD touching all the sides, then its radius is

3/2

Q. No. – 51. Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR, PQR, OQR are of equal area. The coordinates of R are

Q. No. – 52. The differential equation determines a family of circles with

fixed radius 1 and variable centres along the y-axis

variable radii and a fixed centre at (0, âˆ’1)

variable radii and a fixed centre at (0, 1)

fixed radius 1 and variable centres along the x-axis

Q. No. – 53. Let denote the complement of an event . Let be pairwise independent events with and . Then equals

This section contains 4 questions numbered 54 to 57. Each question contains STATEMENT âˆ’ 1 (Assertion) and STATEMENT -2 (Reason).

Q. No. – 54. Let for all real . STATEMENT -1: For each real t, there exists a point c in such that .becauseSTATEMENT -2: for each real .

Statement -1 is True, Statement -2 is True; Statement-2 is NOT a correct explanation for Statement-1

Statement -1 is True, Statement -2 is False

Statement -1 is True, Statement -2 is True; Statement-2 is a correct explanation for Statement-1

Statement -1 is False, Statement -2 is True

Q. No. – 55. Consider the planes and .STATEMENT -1: The parametric equations of the line of intersection of the given planes are ,becauseSTATEMENT -2: The vectors is parallel to the line of intersection of the given planes.

Q. No. – 56. Lines and intersect the line at and , respectively. The bisector of the acute angle between and intersects at .STATEMENT -1: The ratio equals .becauseSTATEMENT -2: In any triangle, bisector of an angle divides the triangle into two similar triangles.

Statement -1 is True, Statement -2 is true; Statement-2 is a correct explanation for Statement-1

Q. No. – 57. STATEMENT -1: The curve is symmetric with respect to the line .becauseSTATEMENT -2: A parabola is symmetric about its axis.

Statement -1 is True, Statement -2 is true; Statement-2 is NOT a correct explanation for Statement-1

This section contains 2 paragraphs M58âˆ’60 and M61âˆ’63. Based upon each paragraph, 3 multiple choice questions have to be answered.

Paragraph for question Nos. 58 to 60

If a continuous f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum values is negative then the equation f(x) = 0 has a root in R.

Consider for all real x where k is a real constant.

Q. No. – 58. The line meets for at the equation f(x) = 0 has a root in R.

more than two points

one point

two points

no point

Q. No. – 59. The positive value of for which has only one root is

Q. No. – 60. For , the set of all values of k for which has two distinct roots is

Paragraph for Question Nos. 61 to 63

Let denote the arithmetic, geometric and harmonic means, respectively, of two distinct positive numbers. For ,

let and has arithmetic, geometric and harmonic means as respectively.

Q. No. – 61. Which one of the following statements is correct?

Q. No. – 62. Which of the following statements is correct?

Q. No. – 63. Which of the following statements is correct?

This section contains 3 questions. Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in Column I have to be matched with statements (p, q, r, s) in Column II. The answers to these questions have to be appropriately bubbled as illustrated in the following example.

If the correct matches are Aâˆ’p, Aâˆ’s, Bâˆ’q, Bâˆ’r, Câˆ’p, Câˆ’q and Dâˆ’s, then the correctly bubbled 4 Ã— 4 matrix should be as follows:

Q. No. – 64. Let

Match the conditions / expressions in Column I with statements in Column II and indicate your answers by darkening the appropriate bubbles in 4 Ã— 4 matrix given in the ORS.

When you are sure that you have answered as many questions as possible, click the ‘Done’ button below and view your results.