JEE 2002 MCQ QUIZ: PHYSICS, CHEMISTRY, MATHS

1. (JEE MAIN 2002 PHYSICS):-

An astronomical telescope has a large aperture to

2. (JEE MAIN 2002 PHYSICS):

TWO FORCES ARE SUCH THAT THE SUM OF THEIR MAGNITUDES IS 18 N AND THEIR RESULTANT IS 12 N WHICH IS PERPENDICULAR TO THE SMALLER FORCE. THEN THE MAGNITUDES OF THE FORCES ARE

3. (JEE MAIN 2002 PHYSICS):-

A wave y = a sin(ωt − kx ) on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is

4. (JEE MAIN 2002 PHYSICS):

FROM A BUILDING TWO BALLS A AND B ARE THROWN SUCH THAT IS THROWN UPWARDS AND DOWNWARDS (BOTH VERTICALLY). IF VA AND VB ARE THEIR RESPECTIVE VELOCITIES ON REACHING THE GROUND, THEN

5. (JEE MAIN 2002 PHYSICS):

Speeds of two identical cars are  u and 4u at the specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is

6. (JEE MAIN 2002 PHYSICS):

A ball whose kinetic energy is E, is projected at an angle of 45 degree to the horizontal. The kinetic energy of the ball at the highest point of its flight will be

7. (JEE MAIN 2002 PHYSICS):-

Wires 1 and 2 carrying currents i¹ and i²respectively are inclined at an angle θ to each other. What is the force on a small element dl of wire 2 at a distance of from wire 1 (as shown in the figure) due to the magnetic field of wire 1 ?

8. (JEE MAIN 2002 PHYSICS):-

By increasing the temperature, the specific resistance of a conductor and a semiconductor

9. (JEE MAIN 2002 PHYSICS):-

Which of the following is used in optical fibres ?

10. (JEE MAIN 2002 PHYSICS):-

Which of the following are not electromagnetic waves?

11. (JEE MAIN 2002 PHYSICS):

A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about P?

12. (JEE MAIN 2002 PHYSICS):-

A tuning fork arrangement (pair) produces 4 beats / sec with one fork of frequency 288 cps. A little wax is
placed on the unknown fork and it then produces 2 beats /sec. The frequency of the unknown fork is

13. (JEE MAIN 2002 PHYSICS):

If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then the satellite will

14. (JEE MAIN 2002 PHYSICS):-

In a simple harmonic oscillator, at the mean position

15. (JEE MAIN 2002 PHYSICS)

When temperature increases, the frequency of a tuning fork

16. (JEE MAIN 2002 PHYSICS):-

If two mirrors are kept at 60∘ to each other, then the number of images formed by them is

17. (JEE MAIN 2002 PHYSICS):-

A conducting square loop of side L and R resistance moves in its plane with a uniform velocity v
perpendicular to one of its sides. A magnetic induction B constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure. The induced emf is

18. (JEE MAIN 2002 PHYSICS):-

On moving a charge of 20 coulombs by 2 cm, 2 J of work is done, then the potential difference between the points is

19. (JEE MAIN 2002 PHYSICS):-

The power factor of an AC circuit having resistance (R) and inductance (L) connected in series and an angular velocity w is

20. (JEE MAIN 2002 PHYSICS):-

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will

21. (JEE MAIN 2002 PHYSICS):

A bead of weight can slide on smooth circular wire in a vertical plane. The bead is attached by a light thread to the highest point of the wire and in equilibrium, the thread is taut and make an angle with the vertical then tension of the thread and reaction of the wire on the bead are

22. (JEE MAIN 2002 PHYSICS):-

If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a

23. (JEE MAIN 2002 PHYSICS):-

If a charge q is placed at the centre of the line joining two equal charges Q such that the system is in
equilibrium then the value of q is

24. (JEE MAIN 2002 PHYSICS):

When forces are F1, F2, F3 acting on a particle of mass m such that f2 and f3 are mutually perpendicular, then the particle remains stationary. If the force F1 is now removed then the acceleration of the particle is

25. (JEE MAIN 2002 PHYSICS):

If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?

26. (JEE MAIN 2002 PHYSICS):

A cylinder of height is 20 m completely filled with water. The velocity of efflux of water (in ms-1 ) through a small hole on the side wall of the cylinder near its bottom is

27. (JEE MAIN 2002 PHYSICS):-

Even Carnot engine cannot give 100% efficiency because we cannot

28. (JEE MAIN 2002 PHYSICS):

Energy required to move a body of mass m from an orbit of radius 2R to 3R is

29. If in the circuit, power dissipation is 150 W, then R is

30. (JEE MAIN 2002 PHYSICS):-

The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

31. (JEE MAIN 2002 PHYSICS):-

Which of the following is more closed to a black body?

32. (JEE MAIN 2002 PHYSICS):-

1 mole of a gas with y=7/5 is mixed with 1 mole of a gas with y=5/3 , then the value of for the resulting mixture is

33. (JEE MAIN 2002 PHYSICS):-

Infra red radiation is detected by

34. (JEE MAIN 2002 PHYSICS):-

Capacitance (in F ) of a spherical conductor with radius 1 m is

35. (JEE MAIN 2002 PHYSICS):-

Length of a string tied to two rigid supports is 40 cm. Maximum length (wave length in cm) of a stationary
wave produced on it is

36. (JEE MAIN 2002 PHYSICS):

A solid sphere, a hallow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

37. (JEE MAIN 2002 PHYSICS):-

If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to

38. (JEE MAIN 2002 PHYSICS):-

If an electron and a proton having same momenta enter perpendicular to a magnetic field, then

39. (JEE MAIN 2002 PHYSICS):-

In a transformer, number of turns in the primary coil are 140 and that in the secondary coil are 280. If current in primary coil 4 A  is , then that in the secondary coil is

40. (JEE MAIN 2002 PHYSICS):

Moment of inertia of a circular wire of mass M and radius R about its diameter is

41. (JEE MAIN 2002 PHYSICS):

(JEE MAIN 2002 PHYSICS):

One end of a massless rope, which passes over a massless and frictionless pulley P is tied to a C hook while the other end is free. Maximum tension that the rope can bear is 360N . With what value of maximum safe acceleration (in ms-2 ) can a man of 60 kg climb on the rope?

42. (JEE MAIN 2002 PHYSICS):Identify the pair whose dimensions are equal

43. (JEE MAIN 2002 PHYSICS):

The minimum velocity (in ms-) with which a car driver must traverse a flat curve of radius and
coefficient of friction 0.6 to avoid skidding is

44. (JEE MAIN 2002 PHYSICS):

A light string passing over a smooth light pulley connects two blocks of masses m1 and m2 (vertically). If the acceleration of the system is g/8, then the ratio of the masses is

45. (JEE MAIN 2002 PHYSICS):

The kinetic energy needed to project a body of mass  m from the earth surface (radius ) to infinity is

46. (JEE MAIN 2002 PHYSICS):-

A wire when connected to  220 V mains supply has power dissipation P1. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is P2 Then P2 : P1 is

47. (JEE MAIN 2002 PHYSICS):

A lift is moving down with acceleration a. A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively

48. (JEE MAIN 2002 PHYSICS):-

Which statement is incorrect?

49. (JEE MAIN 2002 PHYSICS):

Heat given to a body which raises its temperature by 1 degree c is

50. At what temperature is the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at 47 degree C

51. (JEE MAIN 2002 PHYSICS):

Three identical blocks of masses are drawn by a force with an acceleration of
on a frictions surface, then what is the tension (in ) in the string between the blocks and ?

52. (JEE MAIN 2002 PHYSICS):-

Sodium and copper have work functions 2.3eV and 4.5eV respectively. Then the ratio of the wave lengths is nearest to

53. Initial angular velocity of a circular disc of mass M is w1 . Then two small spheres of mass m are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?

54. (JEE MAIN 2002 PHYSICS):-

A child swinging on a swing in sitting position, stands up, then the time period of the swing will

55. (JEE MAIN 2002 PHYSICS):-

Wavelength of light used in an optical instrument are λ1 = 4000Å and λ2 = 5000Å , then ratio of their respective resolving powers (corresponding λ1 to λ2 and ) is

56. (JEE MAIN 2002 PHYSICS):-

If in a circular coil A of radius R , current I is flowing and in another coil B of radius 2R a current 2l is flowing, then the ratio of the magnetic fields B_A and

B_B, produced by them will be

57. (JEE MAIN 2002 PHYSICS):-

Tube A has both ends open while tube B has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube and is

58. (JEE MAIN 2002 PHYSICS):-

If a spring has time period T and is cut into n equal parts, then the time period of each part will be

59. (JEE MAIN 2002 PHYSICS):-

Electromagnetic waves are transverse in nature is evident by

60. (JEE MAIN 2002 PHYSICS):-

A charged particle is placed at the centre of cube of length (A B C D E F G H). Another same charge is  placed at a distance from . Then the electric flux through ABCD is

61. (JEE MAIN 2002 PHYSICS):

Two identical particles move towards each other with velocity 2v and v respectively. The velocity of centre of mass is

62. (JEE MAIN 2002 PHYSICS):-

Two spheres of the same material have radii 1 m and 4 m and temperatures 4000 K and  2000 K respectively.
The ratio of the energy radiated per second by the first sphere to that by the second is

63. (JEE MAIN 2002 PHYSICS):-

The mass of product liberated on anode in an electrochemical cell depends on (where t is the time period, for which the current is passed)

64. (JEE MAIN 2002 PHYSICS):-

The inductance between A and D is

65. (JEE MAIN 2002 PHYSICS):-

If ,Q(theta)1 is the inversion temperature Q(theta)n, is the neutral temperature Q(theta)c, is the temperature of the cold junction, then

66. (JEE MAIN 2002 PHYSICS):-

The sum of two forces is 18 N and resultant whose direction is at right angles to the smaller force is 12 N. The magnitude of the two forces are

67. (JEE MAIN 2002 PHYSICS):-

If a current is passed through a spring then the spring will

68. (JEE MAIN 2002 PHYSICS):

A spring of force constant 800 N/m has an extension of 5 cm. The work done is extending it from 5 cm to 15 cm is

1. JEE MAIN 2002 CHEMISTRY):-

What is the product when acetylene reacts with hypochlorous acid ?

(1) CH₃COCl

(2) ClCH₂CHO

(3) Cl₂CHCHO

(4) ClCHCOOH

1. (JEE MAIN 2002 MATH):-

The number of solution of tan x + sec x = 2 cos x in [0, 2π) is

1. JEE MAIN 2002 CHEMISTRY):-

Which is the correct order of ionic sizes ? (Atomic Number : Ce = 58, Sn = 50, Yb = 70 and Lu = 71)

2. JEE MAIN 2002 CHEMISTRY):-

The functional group, which is found in amino acid is

(1) COOH GROUP

(2) NH_{2 GROUP}

(3) CH_{3 GROUP}

(4) both (a) and (b)

3. JEE MAIN 2002 CHEMISTRY):-

Arrangement of (CH₃)₃ − C−, (CH₃)₂ − CH−,CH₃ − CH₂ - when attached to benzyl or an unsaturated group in increasing order of inductive effect is

(1) (CH₃)₃ − C− < (CH₃)₂ − CH− < CH₃ − CH₂

(2) CH₃ − CH₂− < (CH₃)₂− < CH− < (CH₃)₃ − C−

(3) (CH₃)₂ − CH− < (CH₃)₃ − C− < CH₃,−CH₂

(4) (CH₃)₃ − C− < CH₃ − CH₂ − (CH₃)₂ − CH−

4. JEE MAIN 2002 CHEMISTRY):-

In a hydrogen atom, if energy of an electron in ground state is 13.6 eV, then that in the 2nd excited state is

5. JEE MAIN 2002 CHEMISTRY):-

When H₂ S is passed through Hg₂ S we get

(1) HgS

(2) HgS + Hg₂ S

(3) Hg₂ S

(4) Hg₂ S₂

6. JEE MAIN 2002 CHEMISTRY):-

The differential rate law for the reaction H₂ + I₂ → 2HI is

(1) − d[H₂]/dt = − d[I₂]/dt = − d[HI]/dt

(2) d[H₂]dt = d[I₂]/dt = ½ 1d[Hl]/dt

(3) ½ d[H₂]/dt = ½ 2d[I₂]/dt = − d[HI]/dt

(4) −2 d[H₂]/dt = −2 d[I₂]/dt = d[HI]/dt

7. JEE MAIN 2002 CHEMISTRY):-

For an ideal gas, number of moles per liter in terms of its pressure P, gas constant R and temperature T is

8. JEE MAIN 2002 CHEMISTRY):-

In which of the following species the interatomic bond angle is 109∘28′?

9. JEE MAIN 2002 CHEMISTRY):-

Which of the following ions has the maximum magnetic moment ?

(1) Mn⁺²

(2) Fe⁺²

(3) Ti⁺²

(4) Cr⁺²

10. JEE MAIN 2002 CHEMISTRY):-

Which of the following statements is true ?

11. JEE MAIN 2002 CHEMISTRY):-

Number of atoms in 558.5 gram Fe (at.wt. of = 55.85 g mol⁻¹

) is

12. JEE MAIN 2002 CHEMISTRY):-

How do we differentiate between Fe³⁺ and Cr³⁺ in group III?

(1) by taking excess of NH₄OH solution

(2) by increasing NH₄ ⁺ ion concentration

(3) by decreasing OH⁻ ion concentration

(4) both (b) and (c)

13. JEE MAIN 2002 CHEMISTRY):-

1 M NaCl and 1 M HCl are present in an aqueous solution. The solution is

14. JEE MAIN 2002 CHEMISTRY):-

Un certainty in position of a minute particle of mass 25 g in space 10⁻⁵ is . What is the uncertainity in its velocity (in ms−1) ? (h = 6.6 × 10⁻³⁴Js)

15. JEE MAIN 2002 CHEMISTRY):-

The metal extracted by leaching with a cyanide is

16. JEE MAIN 2002 CHEMISTRY):-

Racemic mixture is formed by mixing two

17. JEE MAIN 2002 CHEMISTRY):-

Which of the following is a redox reaction ?

(1) NaCl + KNO₃ → NaNO₃ + KCl

(2) CaC₂O₄ + 2HCl → CaCl₂ + H₂C₂O₄

(3) Mg(OH)₂ + 2NH₄Cl → MgCl₂ + 2NH₄OH

(4) Zn + 2AgCN → 2Ag + Zn(CN)₂

18. JEE MAIN 2002 CHEMISTRY):-

If an endothermic reaction is non- spantaneous at freezing point of water and becomes feasible at its boiling point, then

19. JEE MAIN 2002 CHEMISTRY):-

The type of isomerism present in nitropentamine chromium (III) chloride is

20. JEE MAIN 2002 CHEMISTRY):-

Most common oxidation states of Ce (cerium) are

21. (JEE MAIN 2002 CHEMISTRY):-

If 13.6eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron from n = 2 is

22. JEE MAIN 2002 CHEMISTRY):-

Let the solubility of an aqueous solution of Mg(OH)₂ be x then its k_sp is

(1) 4 x³

(2) 108 x⁵

(3) 27 x⁴

(4) 9x

23. JEE MAIN 2002 CHEMISTRY):-

On vigorous oxidation by permanganate solution

(CH₃)₂C = CH − CH₂ − CHO gives

24. JEE MAIN 2002 CHEMISTRY):-

Which of the following are arranged in an increasing order of their bond strengths ?

(1) O⁻₂ < O₂ < O⁺₂ < O²₋

(2) O²⁻₂ < O⁻₂ < O² < O⁺₂

(3) O⁻₂ < O²⁻₂ < O² < O⁺₂

(4) O⁺₂ < O² < O⁻₂ < O²₋

25. JEE MAIN 2002 CHEMISTRY):-

Cyanide process is used for the extraction of

26. JEE MAIN 2002 CHEMISTRY):-

For the reactions, C + O₂⟶CO₂; ΔH = −393 J 2Zn + O₂⟶2ZnO; ΔH = −412 J

27. JEE MAIN 2002 CHEMISTRY):-

Number of sigma bonds in P₄O₁₀ is

28. JEE MAIN 2002 CHEMISTRY):-

Aluminium is extracted by the electrolysis of

29. JEE MAIN 2002 CHEMISTRY):-

For the reaction A + 2B → C , rate is given by R = [A][B]²  then the order of the reaction is

30. JEE MAIN 2002 CHEMISTRY):-

Species acting as both Bronsted acid and base is

(1) (HSO4)⁻¹

(2) Na₂CO₃

(3) NH₃

(4) OH⁻¹

31. JEE MAIN 2002 CHEMISTRY):-

A similarity between optical and geometrical isomerism is that

32. JEE MAIN 2002 CHEMISTRY):-

If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should

33. JEE MAIN 2002 CHEMISTRY):-

The energy band gap is maximum in

34. JEE MAIN 2002 CHEMISTRY):-

The most stable ion is

(1) [Fe(OH)₃]³⁻

(2) [Fe(Cl)₆]³⁻

(3) [Fe(CN)₆]³⁻

(4) [Fe(H₂O)₆]³⁺

35. JEE MAIN 2002 CHEMISTRY):-

In a compound C, H and N atoms are present in 9 : 1 : 35 by weight. Molecular weight of compound is 108. Molecular formula of compound is

36. JEE MAIN 2002 CHEMISTRY):-

β - particle is emitted in radioactivity by

37. JEE MAIN 2002 CHEMISTRY):-

When the sample of copper with zinc impurity is to be purified by electrolysis, the appropriate electrodes are

38. JEE MAIN 2002 CHEMISTRY):-

In which of the following reactions, increase in the volume at constant temperature does not affect the number of moles at equilibrium

(1)2NH₃ → N₂ + 3H₂

(2) C(g) + (1/2)O₂( g) → CO(g)

(3) H₂( g) + O₂( g) → H₂O₂( g)

(4) none of these

39. JEE MAIN 2002 CHEMISTRY):-

In which of the following species is the underlined carbon having sp³ hybridization ?

(1) CH₃​COOH.

(2) CH₃​CH₂​OH.

(3) CH₃​COCH₃

(4) CH₂​=CH−CH₃

40. JEE MAIN 2002 CHEMISTRY):-

Value of gas constant R is

(1) 0.082 litre atm

(2) 0.987cal mol⁻¹ K⁻¹

(3) 8.3 J mol⁻¹ K⁻¹

(4) 83 erg mol⁻¹ K⁻¹

41. (JEE MAIN 2002 CHEMISTRY):-

At a specific instant emission of radioactive compound is deflected in a magnetic field. The compound can emit (i) electrons (ii) protons (iii) He²⁺ (iv) neutrons The emission at instant can be

42. JEE MAIN 2002 CHEMISTRY):-

Freezing point of an aqueous solution is (−0.186)∘C. Elevation of boiling point of the same solution is Kb = 0.512∘C,Kf = 1.86∘C , find the increase in boiling point.

(1) 0.186∘C

(2) 0.0512∘C

(3) 0.092∘C

(4) 0.2372∘C

43. JEE MAIN 2002 CHEMISTRY):-

A square planar complex is formed by hybridisation of which atomic orbitals ?

(1) s, p_x, p_y, d_yz

(2) s, p_x, p_y, d_x2−y2

(3) s, p_x, p_y, d_z²

(4) s, p_y, p_z, d_xy

44. (JEE MAIN 2002 CHEMISTRY):-

Formation of covalent bonds in compounds exhibits

45. JEE MAIN 2002 CHEMISTRY):-

At absolute zero, Si acts as

46. JEE MAIN 2002 CHEMISTRY):-

If half-life of a substance is 5 yrs, then the total amount of substance left after 15 years, when initial amount is 64 grams is

47. JEE MAIN 2002 CHEMISTRY):-

Which of the following compounds has wrong IUPAC name ?

(1) CH3​–CH2​–CH2​–COO–CH2​CH3 -ethyl butanoate

(2) CH₃​–CH- CH₂- CH ​–CHO - 3-methyl butanal

(3) CH₃​–CH-(OH)–CH-(CH₃​)–CH₃​- 2-methyl-3-butanol

(4) CH₃​–CH-(CH₃​)–C=O–CH₂​–CH₃​- 2-methyl-3-pentanone

48. JEE MAIN 2002 CHEMISTRY):-

Arrange Ce⁺³, La⁺³, Pm⁺³ and Yb⁺³ in increasing order of their ionic radii

(1) Yb⁺³ < Pm⁺³ < Ce⁺³ < La⁺³

(2) Ce⁺³ < Yb⁺³ < Pm⁺³ < La⁺³

(3) Yb⁺³ < Pm⁺³ < La⁺³ < Ce⁺³

(4) Pm⁺³ < La⁺³ < Ce⁺³ < Yb⁺³

49. JEE MAIN 2002 CHEMISTRY):-

RNA is different from DNA because RNA contains

50. JEE MAIN 2002 CHEMISTRY):-

Polymer formation from monomers starts by

51. JEE MAIN 2002 CHEMISTRY):-

The formation of gas at the surface of tungsten due to adsorption is the reaction of order

52. JEE MAIN 2002 CHEMISTRY):-

A metal M readily forms its sulphate MSO₄ which is water - soluble. It forms its oxide MO which becomes inert on heating. It forms an insoluble hydroxide M(OH)₂ which is soluble in NaOH solution. Then M is

53. JEE MAIN 2002 CHEMISTRY):-

The heat required to raise the temperature of body by 1 K is called

54. JEE MAIN 2002 CHEMISTRY):-

When KMnO⁴ acts as an oxidising agent and ultimately forms [MnO4]⁻¹, MnO₂, Mn₂O₃,Mn⁺²

then the number of electrons transferred in each case respectively is

55. JEE MAIN 2002 CHEMISTRY):-

The part of a transistor which is most heavily doped to produce large number of majority carriers is

56. JEE MAIN 2002 CHEMISTRY):-

The compound is used as

57. JEE MAIN 2002 CHEMISTRY):-

What will be the emf for the given cell Pt |H2 (P1)|H+(aq)||H2 (P2) ∣ Pt

(1) RT/f  log P1/P2

(2) RT/2f  log P1/P2

(3) RT/f  log P2/P1

(4) none of these

58. JEE MAIN 2002 CHEMISTRY):-

Alum helps in purifying water by

59. JEE MAIN 2002 CHEMISTRY):-

KO₂ (potassium super oxide) is used in oxygen cylinders in space and submarines because it

(1) absorbs CO₂ and increases O₂ content

(2) eliminates moisture

(3) absorbs CO₂

(4) produces ozone.

60. JEE MAIN 2002 CHEMISTRY):-

In case of nitrogen, NCl₃ is possible but not NCl₅ while in case of phosphorous, PCl₃ as well as

PCl₅ are possible. It is due to

61. JEE MAIN 2002 CHEMISTRY):-

The integrated rate equation is Rt = logC₀ − logC_t. The straight line graph is obtained by plotting

(1) time vs log C_t

(2) 1/time vs C_t

(3) time vs C_t

(4) 1/time vs 1/C_t

62. JEE MAIN 2002 CHEMISTRY):-

If N₀ is the original mass of the substance of half- life period t_1/2 = 5 years, then the amount of substance left after 15 years is

63. JEE MAIN 2002 CHEMISTRY):-

With increase of temperature, which of these changes?

64. JEE MAIN 2002 CHEMISTRY):-

In mixture A and B component show -ve deviation as

65. JEE MAIN 2002 CHEMISTRY):-

Units of rate constant of first and zero order reactions in terms of molarity M unit are respectively

(1) sec⁻¹, Msec⁻¹

(2) sec⁻¹, M

(3) Msec^-1, sec⁻¹

(4) M, sec⁻¹

66. JEE MAIN 2002 CHEMISTRY):-

Which of the following does not show geometrical isomerism?

67. JEE MAIN 2002 CHEMISTRY):-

CH₃ −Mg − Br is an organo metallic compound due to

68. JEE MAIN 2002 CHEMISTRY):-

Cl_{2             alc. KOH}

CH₃CH₂COOH   ⟶     A     ⟶        B. What is B ?

red P

(1) CH₃CH₂COCl

(2) CH₃CH₂CHO

(3) CH₂ = CHCOOH

(4) ClCH₂CH₂COOH

69. JEE MAIN 2002 CHEMISTRY):-

Which of these will not react with acetylene ?

(1) NaOH

(2) ammonical AgNO₃

(3) Na

(4) HCl

70. JEE MAIN 2002 CHEMISTRY):-

H₂O

The reaction: (CH₃)₃ C – Br      ⟶       (CH₃)₃ − C − OH

71. JEE MAIN 2002 CHEMISTRY):-

A heat engine absorbs heat Q1 at temperature T1 and heat Q2 at temperature T2 . Work done by the engine is J (Q1 + Q2). This data

72. JEE MAIN 2002 CHEMISTRY):-

EMF of a cell in terms of reduction potential of its left and right electrodes is

(1) E = E_left − E_right

(2) E = E_left + E_right

(3) E = E_right − _Eleft

(4) E = −(E_right + E_left )

73. JEE MAIN 2002 CHEMISTRY):-

The solubility of Mg(OH)₂ is S moles/litre. The solubility product under the same condition is

(1) 4 S³

(2) 3S⁴

(3) 4 S²

(4) S³

74. JEE MAIN 2002 CHEMISTRY):-

If ϕ denotes reduction potential, then which is true ?

(1) E⁰_cell = ϕ_right − ϕ_left

(2) E⁰_cell = ϕ_{left +} ϕ_right

(3) E⁰_cell = ϕ_{left -} ϕ_right

(4) E⁰_cell = -(ϕ_{left +} ϕ_right )

75. JEE MAIN 2002 CHEMISTRY):-

When primary amine reacts with chloroform in ethanoic KOH then the product is

76. JEE MAIN 2002 CHEMISTRY):-

Kinetic theory of gases proves

77. JEE MAIN 2002 CHEMISTRY):-

Which of the following reaction is possible at anode?

(1) 2Cr³⁺ + 7H₂O → Cr₂O²⁻₇ + 14H⁺

(2) F₂ → 2 F⁻

(3) (1/2)O₂ + 2H⁺ → H₂O

(4) none of these

78. JEE MAIN 2002 CHEMISTRY):-

In XeF₂, XeF₄, XeF₆ the numebr of lone pairs of Xe are respectively

79. JEE MAIN 2002 CHEMISTRY):-

Conductivity (unit Siemen’s S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel then the unit of the constant of proportionality is

(1) Sm mol⁻¹

(2) Sm² mol⁻¹

(3) S⁻² m² mol

(4) S² m² mol⁻²

80. JEE MAIN 2002 CHEMISTRY):-

Na and Mg crystallize in BCC and FCC type crystals respectively, then the number of atoms of Na and Mg present in the unit cell of their respective crystal is

81. JEE MAIN 2002 CHEMISTRY):-

For the reaction CO(g) + (1/2)O₂( g) = CO₂( g),K_p/K_c is

82. JEE MAIN 2002 CHEMISTRY):-

Change in volume of the system does not alter the number of moles in which of the following equilibria ?

(1) N2( g) + O2( g) ⇌ 2NO(g)

(2) PCl5( g) ⇌ PCl3( g) + Cl2( g)

(3) N2( g) + 3H2( g) ⇌ 2NH3( g)

(4) SO2Cl2( g) ⇌ SO2( g) + Cl2( g)

1. (JEE MAIN 2002 MATH):-

1³ − 2³ + 3³ − 4³ +…. +9³ =

2. (JEE MAIN 2002 MATH):-

The sum of integers from 1 to 100 that are divisible by 2 or 5 is

3. (JEE MAIN 2002 MATH):-

A triangle with vertices (4, 0), (-1, -1), (3, 5) is

4. (JEE MAIN 2002 MATH):-

Two common tangents to the circle x2 + y2 = 2a2 and parabola y2 = 8ax  are

5. (JEE MAIN 2002 MATH):-

If y = [x +( √(1 + x²)]ⁿ then (1 + x²) d²y/dx² + x dy /dx is 

6. (JEE MAIN 2002 MATH):-

If the pair of lines ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 intersect on the y - axis then

7. (JEE MAIN 2002 MATH):-

Difference between the corresponding roots of x² + ax + b = 0 and x² + bx + a = 0

is same and a ≠ b, then

8. (JEE MAIN 2002 MATH):-

If |a| = 5, |b| = 4, |c| = 3 thus what will be the value of |a ⋅ b + b. c + c. a|, given that →a +→b + →c = 0

9. (JEE MAIN 2002 MATH):-

The centres of a set of circles, each of radius 3 , lie on the circle x2 + y2 = 25 . The locus of any point in the set is

10. (JEE MAIN 2002 MATH):-

If  f(x + y) = f(x) ⋅ f(y)∀x ⋅ y and f(5) = 2, f ′(0) = 3 then f ′(5) is

11. (JEE MAIN 2002 MATH):-

In a triangle with sides a, b, c, r1 > r2 > r3 (which are the ex-radii) then

12. (JEE MAIN 2002 MATH):-

If  p and q are the roots of the equation x² + px + q = 0, then

13. (JEE MAIN 2002 MATH):-

The period sin2 θ of is

14. (JEE MAIN 2002 MATH):-

If y = f(x) makes +ve intercept of 2 and 0 unit on x and y axes and encloses an area 3/ 4 of square unit with the axes then ∫²₀ xf ′(x)dx is

15. (JEE MAIN 2002 MATH):-

The value of 2^1/4, 4^1/8, 8^1/6 +……∞ is

16. (JEE MAIN 2002 MATH):-

Fifth term of a GP is 2, then the product of its 9 terms is

17. (JEE MAIN 2002 MATH):-

cot⁻¹(√cos α) = tan⁻¹(√cos α) = x then sin x =

18. (JEE MAIN 2002 MATH):-

THE DOMAIN OF  sin⁻¹ [log₃(x/3)] is

19. (JEE MAIN 2002 MATH):-

In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?

20. (JEE MAIN 2002 MATH):-

Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 (using repetition allowed) are

21. (JEE MAIN 2002 MATH):-

The area bounded by the curves y = ln x, y = ln |x|, y = | ln x| and y = | ln ||x| is

22. (JEE MAIN 2002 MATH):-

Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4, 6 and 7 without repetition. Total number of such numbers are

23. (JEE MAIN 2002 MATH):-

If f(1) = 1, f ′(1) = 2 , then  Lim _x→1(√f(x)−1)/√x-1 is

24. (JEE MAIN 2002 MATH):-

Sum of infinite number of terms of GP is 20 and sum of their square is 100. The common ratio of GP is

25. (JEE MAIN 2002 MATH):-