JEE MAINS QUIZ 1: PREVIOUS YEAR QUESTIONS

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Created on June 07, 2025 By skverma.verma29@gmail.com
PHYSICS FOR NEET

JEE MAINS QUIZ 1: PREVIOUS YEAR QUESTIONS PRACTICE

JEE MAINS QUIZ 1: BOOST YOUR SCORE WITH PAST QUESTIONS

1 / 225

1. (JEE MAIN 2002 MATH):-

The positive integer just greater than (1 + 0.0001)power 10000 is

a) 2

b) 4

c) 3

d) 5

2 / 225

2. (JEE MAIN 2002 MATH):-

Lim_n_→∞ (1^p + 2^p + 3^p +…+ n^p) / n^p⁺¹ is

a) 1 / p+2

b) 1/ p+1

c) 1 /p − 1/( p−1)

d) 1/ 1−p

3 / 225

3. (JEE MAIN 2002 MATH):-

Number greater than 1000 but less than 4000 is formed using the digits 0, 1, 2, 3, 4 (repetition allowed) is

a) 105

b) 375

c) 625

d) 125

4 / 225

4. (JEE MAIN 2002 MATH):-

If 2a + 3b + 6c = 0(a, b, c ∈ R) then the quadratic equation ax²+ bx + c = 0 has

a) at least one root in [2, 3]

b) none of these

c) at least one root in [4, 5]

d) at least one root in [0, 1]

5 / 225

5. (JEE MAIN 2002 MATH):-

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

a) -y

b) n2y

c) -n2y

d) 2x2y

6 / 225

6. (JEE MAIN 2002 MATH):-

IF →a ×→b = →b × →c = →c × →a THEN →a +→b + →c =

a) abc

b) -1

c) 0

d) 2

7 / 225

7. (JEE MAIN 2002 MATH):-

Lim_x_→0(log xⁿ−[x])/[x] , n ∈ N([x] denotes greatest integer less than or equal to x)

a) has value 1

b) has value -1

c) does not exist

d) has value 0

8 / 225

8. (JEE MAIN 2002 MATH):-

f(x) and g(x) are two differentiable functions on [0, 2] such that f ′′(x) − g′′(x) = 0

f ′(1) = 2g′(1) = 4f(2) = 3g(2) = 9 then f(x) − g(x) x = 3/2 is

a) 0

b) 2

c) 5

d) 10

9 / 225

9. (JEE MAIN 2002 MATH):-

l, m, n are the p^th , q^thand r^thterm of a G.P. all positive, then

log l p 1

log m q 1

log n r 1

equals

a) 0

b) -1

c) 1

d) 2

10 / 225

10. (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

a) x2 + y2 ≥ 25

b) x2 + y2 ≤ 25

c) 3 ≤ x2 + y2 ≤ 9

d) 4 ≤ x2 + y2 ≤ 64

11 / 225

11. (JEE MAIN 2002 MATH):-

If 1, log₉ (3¹⁻^x + 2), log₃ (4.3^x − 1) are in A.P. then x equals

a) 1+ log3 4

b) log3 4

c) 1- log3 4

d) log4 3

12 / 225

12. (JEE MAIN 2002 MATH):-

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

a) 3600

b) 3000

c) 3050

d) 3250

13 / 225

13. (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?

a) 68

b) 65

c) 74

d) 73

14 / 225

14. (JEE MAIN 2002 MATH):-

If |→a| = 4, |→ b| = 2 and the angle between vector →a and vector →b is π/6 then (→a ×→ b)2 = 2 is equal to

a) 48

b) →a

c) 46

d) none of these

15 / 225

15. (JEE MAIN 2002 MATH):-

If a > 0 discriminant of ax2 + 2bx + c is -ve, then

a b ax + b

b c bx + c

ax + b bx + c o

is

a) -ve

b) ac − b2) (ax2 + 2bx + c)

c) +ve

d) 0

16 / 225

16. (JEE MAIN 2002 MATH):-

The maximum distance from origin of a point on the curve x =α sin t - b sin (αt/b) y =α cos t - b cos (αt/b), both a, b > 0 is

a) a - b

b) √a2 + b2

c) √a2 b2

d) a + b

17 / 225

17. (JEE MAIN 2002 MATH):-

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

a) 4 sq. units

b) 10 sq. units

c) none of these

d) 6 sq. units

18 / 225

18. (JEE MAIN 2002 MATH):-

Product of real roots of the equation t²x² + |x| + 9 = 0

a) is always positive

b) does not exist

c) is always negative

d) none of these

19 / 225

19. (JEE MAIN 2002 MATH):-

Let f(x) = 4 and f ′(x) = 4 . Then Lim_x_→2 (xf(2)−2f(x)) / ( x−2) is given by

a) 2

b) 3

c) -4

d) -2

20 / 225

20. (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

a) 2

b) 6

c) 1

d) 0

21 / 225

21. (JEE MAIN 2002 MATH):-

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

a) 4

b) 1

c) 3/2

d) 2

22 / 225

22. (JEE MAIN 2002 MATH):-

If the sum of the coefficients in the expansion of (a + b) power n is 4096 , then the greatest coefficient in the expansion is

a) 792

b) 2924

c) 924

d) 1594

23 / 225

23. (JEE MAIN 2002 MATH):-

∫ ^10π₀ | sin x |dx is

a) 18

b) 10

c) 20

d) 8

24 / 225

24. (JEE MAIN 2002 MATH):-

If →a,→ b, → are vectors such |→a→b→c| = 4 that then [a×bb×cc×a] =

a) 64

b) 8

c) 4

d) 16

25 / 225

25. (JEE MAIN 2002 MATH):-

The period sin2 θ of is

a) π

b) π/2

c) 2π

d) π2

26 / 225

26. (JEE MAIN 2002 MATH):-

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

a) 4

b) 2

c) 1

d) 1/2

27 / 225

27. (JEE MAIN 2002 MATH):-

r and n are positive integers r > 1, n > 2 and coefficient of (r + 2)th term 3rth and term in the expansion of (1 + x)2n are equal, then n equals

a) 3r

b) 2r

c) 2r + 1

d) 3r + 1

28 / 225

28. (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

a) 8/5

b) 1/5

c) 2

d) 3/5

29 / 225

29. (JEE MAIN 2002 MATH):-

If a, b, c are distinct +ve real numbers and a² + b²+ c²= 1 then ab + bc + ca is

a) any real no.

b) equal to 1

c) less than 1

d) greater than 1

30 / 225

30. (JEE MAIN 2002 MATH):-

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

a) abc = 2fgh

b) bg2 ≠ ch2

c) none of these

d) 2fgh = bg2 + ch2

31 / 225

31. (JEE MAIN 2002 MATH):-

The locus of the centre of a circle which touches the circle |z − z1| = a and |z − z2| = b externally (z, z1 and z2 are complex numbers) will be

a) none of these

b) a hyperbola

c) a circle

d) an ellipse

32 / 225

32. (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

a) 120

b) 216

c) 312

d) 3125

33 / 225

33. (JEE MAIN 2002 MATH):-

THE DOMAIN OF sin⁻¹ [log₃(x/3)] is

a) [-9, 1]

b) [1, 9]

c) [-9, -1]

d) [-1, 9]

34 / 225

34. (JEE MAIN 2002 MATH):-

If the sum of the coefficients in the expansion of (a + b) power n is 4096 , then the greatest coefficient in the expansion is

a) 792

b) 2924

c) 1594

d) 924

35 / 225

35. (JEE MAIN 2002 MATH):-

A and B are events such that P(A ∪ B) = 3/4, P(A ∩ B) = 1/4, P(A¯) = 2/3 then P(A¯ ∩ B) is

a) 5/8

b) 1/4

c) 5/12

d) 3/8

36 / 225

36. (JEE MAIN 2002 MATH):-

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

a) p = -2, q = 0

b) p =1, q = -2

c) p = -2, q = 1

d) p = 0, q = 1

37 / 225

37. (JEE MAIN 2002 MATH):-

Locus of mid point of the portion between the axes of x cos α + y sin α = p where p is constant is

a) 1/ x2 + 1/ y2 = 4 /p2

b) 1/ x2 + 1 /y2 = 2/ p2

c) x2 + y2 = 4p2

d) x2 + y2 = 4 /p2

38 / 225

38. (JEE MAIN 2002 MATH):-

z and w are two non zero complex no such |z| = |w| that and Arg z + Argw = π then z equals

a) -W

b) W

c) W bar

d) - W bar

39 / 225

39. (JEE MAIN 2002 MATH):-

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

a) none of these

b) 512

c) 1024

d) 256

40 / 225

40. (JEE MAIN 2002 MATH):-

If an = √7 +√7 + √7 +…having radical signs then by methods of mathematical induction which is true

a) an > 7∀n ≥ 1

b) an < 3∀n ≥ 1

c) an < 4∀n ≥ 1

d) an > 7∀n ≥ 1

41 / 225

41. (JEE MAIN 2002 MATH):-

∫ ^π₋_π2x (1+sin x) / (1+cos²x) dx is

a) zero

b) π/ 2

c) π2/4

d) π2

42 / 225

42. (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

a) -50

b) 50

c) 25

d) -25

43 / 225

43. (JEE MAIN 2002 MATH):-

a) e2

b) e4

c) e3

d) 1

44 / 225

44. (JEE MAIN 2002 MATH):-

If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of measure at 45 degree the major segment of the circle then value of m is

a) −2 ± √2

b) 2 ± √2

c) none of these

d) −1 ± √2

45 / 225

45. (JEE MAIN 2002 MATH):-

The coefficients of x power p and x power q in the expansion of (1 + x) power p+q are

a) reciprocals of each other

b) none of these

c) equal

d) equal with opposite signs

46 / 225

46. (JEE MAIN 2002 MATH):-

The d.r. of normal to the plane through (1, 0, 0), (0, 1, 0) which makes an angle π/4 with plane x + y = 3 are

a) 1,√2, 1

b) 1, 1, 2

c) √2, 1, 1

d) 1, 1,√2

47 / 225

47. (JEE MAIN 2002 MATH):-

A problem in mathematics is given to three students A, B,C and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is

a) 1/2

b) 1/3

c) 2/3

d) 3/4

48 / 225

48. (JEE MAIN 2002 MATH):-

THE SOLUTION OF THE EQUATION d²y/dx²=e^-2x

a) e−2x/ 4 + cx + d

b) 1/4 e−2x + cx2 + d

c) 1/4 e−4x + cx + d

d) e-2x/4

49 / 225

49. (JEE MAIN 2002 MATH):-

A plane which passes through the point (3, 2, 0) and the line (x−4)/
1 = (y−7)/5 = (z−4)/4 is

a) x + y + z = 5

b) 2x - y + z = 5

c) x + 2y - z = 1

d) x - y + z = 1

50 / 225

50. (JEE MAIN 2002 MATH):-

If α ≠ β but α² = 5α − 3 and β² = 5β − 3 then the equation having α/β and β/α as its roots is

a) 3x2 + 19x − 3 = 0

b) 3x2 − 19x + 3 = 0

c) x2 − 5x + 3 = 0

d) 3x2 − 19x − 3 = 0

51 / 225

51. (JEE MAIN 2002 MATH):-

3λ→c + 2μ(→a ×→ b) = 0 THEN

(“Three lambda times vector c plus two mu times the cross product of vector a with vector b equals zero.”)

a) λ + μ = 0

b) λ = μ

c) 3λ = 2μ

d) 3λ + 2μ = 0

52 / 225

52. (JEE MAIN 2002 MATH):-

THE ORDER AND DEGREE OF THE DIFFERENTIAL EQUATION

(1 + 3 dy/dx )^2/3= 4 d³y/dx³ ARE

a) (3, 1)

b) (3, 3)

c) (1, 2 /3 )

d) (1, 2)

53 / 225

53. (JEE MAIN 2002 MATH):-

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

a) isosceles but not right angled

b) isosceles and right angled

c) right angled but not isosceles

d) neither right angled nor isoceles

54 / 225

54. (JEE MAIN 2002 MATH):-

If |z − 4| < |z − 2|, its solution is given by

a) Re(z) > 0

b) Re(z) > 2

c) Re (z) > 3

d) Re(z) < 0

55 / 225

55. (JEE MAIN 2002 MATH):-

∫ ^√2₀ [x²] dx is

a) √2 − 2

b) 2 − √2

c) 2 + √2

d) √2 − 1

56 / 225

56. (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

a) 3/2

b) 1

c) -3/4

d) 5/4

57 / 225

57. (JEE MAIN 2002 MATH):-

If an = √7 +√7 + √7 +…having radical signs then by methods of mathematical induction which is true

a) an < 3∀n ≥ 1

b) an > 7∀n ≥ 1

c) an > 7∀n ≥ 1

d) an < 4∀n ≥ 1

58 / 225

58. (JEE MAIN 2002 MATH):-

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

a) a > b > c

b) a < b < c

c) a <b> c

d) a > b and b < c

59 / 225

59. (JEE MAIN 2002 MATH):-

A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is

a) 4/5

b) 3/8

c) 5/4

d) 8/3

60 / 225

60. (JEE MAIN 2002 MATH):-

f is defined in [-5, 5] as f(x) = x if x is rational and = -x is irrational. Then

a) f(x) is continuous everywhere

b) f(x) is continuous at every x, except x = 0

c) f(x) is discontinuous at every x, except x = 0

d) f(x) is discontinuous everywhere

61 / 225

61. (JEE MAIN 2002 MATH):-

The point of lines represented by 3ax2 + 5xy + (a2 − 2)y2 = 0 and perpendicular to each other for

a) for no values of a

b) for one value of a

c) two values of a

d) ∀a

62 / 225

62. (JEE MAIN 2002 MATH):-

Which one is not periodic

a) |sin 3x| + sin2 x

b) cos2x + sin x

c) cos root x + cos 2 x

d) cos 4x + tan2 x

63 / 225

63. (JEE MAIN 2002 MATH):-

The centre of the circle passing through (0, 0 ) and (1, 0) and touching the circle x2 + y2 = 9 is

a) ( 1/ 2 , 1 /2 )

b) ( 3/ 2 , 1/ 2 )

c) ( 1/ 2 , 3/ 2 )

d) ( 1/ 2 ,−√2)

64 / 225

64. (JEE MAIN 2002 MATH):-

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

a) tan2 ( α/ 2 )

b) cot2 ( α /2 )

c) tan α

d) tan ( α/ 2 )

65 / 225

65. (JEE MAIN 2002 MATH):-

The equation of a circle with origin as a centre and passing through equilateral triangle whose median is of length 3a is

a) x2 + y2 = 9a2

b) x2 + y2 = 16a2

c) x2 + y2 = a2

d) x2 + y2 = 4a2

66 / 225

66. (JEE MAIN 2002 MATH):-

The sides of a triangle are 3x + 4y, 4x+37 and 5x + 57 where x, y > 0 then the triangle is

a) obtuse angled

b) equilateral

c) none of these

d) right angled

67 / 225

67. (JEE MAIN 2002 MATH):-

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

a) x = ±(y + a)

b) y = ±(x + a)

c) x = ±(y + 2a)

d) y = ±(x + 2a)

68 / 225

68. (JEE MAIN 2002 MATH):-

1³ − 2³ + 3³ − 4³ +…. +9³ =

a) 425

b) -425

c) 475

d) -475

69 / 225

69. (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

a) 720

b) 375

c) 216

d) 400

70 / 225

70. (JEE MAIN 2002 MATH):-

If →a,→ b, → C (VECTOR A, VECTOR B, VECTOR C) are vectors such that →a +→b + →c = 0 and |→a| = 7, |→ b| = 5, |→c| = 3 then angle between vector →b and →c is

a) 45∘

b) 30∘

c) 60∘

d) 90∘

71 / 225

71. (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

a) a + b - 4 = 0

b) a + b + 4 = 0

c) a - b - 4 = 0

d) a - b + 4 = 0

72 / 225

72. (JEE MAIN 2002 MATH):-

I_n = ∫ ^π^/4₀ tanⁿxdx then Lim _n_→∞n [I_n + I_n₋₂] equals

a) 1/2

b) ∞

c) 1

d) zero

73 / 225

73. (JEE MAIN 2002 MATH):-

a) zero

b) -1

c) does not exist

d) 1

74 / 225

1. 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₋

a) 3

b) 1

c) 2

d) 4

75 / 225

2. JEE MAIN 2002 CHEMISTRY):-

Alum helps in purifying water by

a) making mud water soluble

b) coagulating the mud particles

c) sulphate part which combines with the dirt and removes it

d) forming Si complex with clay particles

76 / 225

3. JEE MAIN 2002 CHEMISTRY):-

Racemic mixture is formed by mixing two

a) isomeric compounds

b) optical isomers

c) chiral compounds

d) meso compounds

77 / 225

4. JEE MAIN 2002 CHEMISTRY):-

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

a) a buffer solution with pH < 7

b) a buffer solution with pH > 7

c) not a buffer solution with pH > 7

d) not a buffer solution with pH < 7

78 / 225

5. 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 − _E_left

(4) E = −(E_right + E_left )

a) 2

b) 4

c) 1

d) 3

79 / 225

6. JEE MAIN 2002 CHEMISTRY):-

At absolute zero, Si acts as

a) insulator

b) none of these

c) metal

d) non metal

80 / 225

7. JEE MAIN 2002 CHEMISTRY):-

In which of the following species is the underlined carbon having sp³hybridization ?

(1) CH₃COOH.

(2) CH₃CH₂OH.

(3) CH₃COCH₃

(4) CH₂=CH−CH₃

a) 2

b) 4

c) 1

d) 3

81 / 225

8. 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

a) does not violate 1st law of thermodynamics

b) violates 1st law of thermodynamics if Q2, is - ve

c) violates 1ST law of thermodynamics

d) violates 1ST law of thermodynamics if Q1 is−ve

82 / 225

9. 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

a) 4 and 2

b) 2 and 4

c) 9 and 14

d) 14 and 9

83 / 225

10. JEE MAIN 2002 CHEMISTRY):-

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

a) an alcohol

b) an aldehyde

c) an isocyanide

d) a cyanide

84 / 225

11. 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

a) 4

b) 3

c) 2

d) 1

85 / 225

12. JEE MAIN 2002 CHEMISTRY):-

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

a) decrease

b) remain unchanged

c) increase

d) first increase then decrease

86 / 225

13. JEE MAIN 2002 CHEMISTRY):-

A similarity between optical and geometrical isomerism is that

a) both are included in stereoisomerism

b) If in a compound one is present then so is the other

c) each forms equal number of isomers for a given compound

d) they have no similarity

87 / 225

14. 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−

a) 4

b) 3

c) 2

d) 1

88 / 225

15. JEE MAIN 2002 CHEMISTRY):-

In case of nitrogen, NCl₃is possible but not NCl₅while in case of phosphorous, PCl₃as well as

PCl₅are possible. It is due to

a) lower electronegativity of P than N

b) lower tendency of H - bond formation in P than N

c) availability of vacant d orbitals in P but not in N

d) occurrence of P in solid while N in gaseous state at room temperature

89 / 225

16. 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

a) 3

b) 7

c) 5

d) 6

90 / 225

17. JEE MAIN 2002 CHEMISTRY):-

Which of the following compounds has wrong IUPAC name ?

(1) CH3–CH2–CH2–COO–CH2CH3 -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

a) 3

b) 4

c) 2

d) 1

91 / 225

18. JEE MAIN 2002 CHEMISTRY):-

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

a) polymerisation

b) optical

c) linkage

d) ionization

92 / 225

19. JEE MAIN 2002 CHEMISTRY):-

Most common oxidation states of Ce (cerium) are

a) +2, +3

b) +3, +5

c) +2, +4

d) +3, +4

93 / 225

20. (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

a) iv

b) ii, iii

c) i, ii, iii

d) i, ii, iii, iv

94 / 225

21. JEE MAIN 2002 CHEMISTRY):-

On vigorous oxidation by permanganate solution

(CH₃)₂C = CH − CH₂ − CHO gives

a) 1

b) 2

c) 4

d) 3

95 / 225

22. JEE MAIN 2002 CHEMISTRY):-

Which of the following does not show geometrical isomerism?

a) 1, 3 - dichloro - 2- pentene

b) 1, 2-dichloro - 1- pentene

c) 1, 4 - dichloro - 2- pentene

d) 1, 1- dichloro - 1- pentene

96 / 225

23. 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

a) 1

b) 2

c) 4

d) 3

97 / 225

24. 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

a) 4

b) 2

c) 1

d) 3

98 / 225

25. 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

a) 2

b) 4

c) 1

d) 3

99 / 225

26. JEE MAIN 2002 CHEMISTRY):-

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

(1) 4 S³

(2) 3S⁴

(3) 4 S²

(4) S³

a) 1

b) 3

c) 4

d) 2

100 / 225

27. JEE MAIN 2002 CHEMISTRY):-

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

a) carbon can oxidise Zn

b) oxidation of carbon is not feasible

c) Zn can oxidise carbon

d) oxidation of Zn is not feasible

101 / 225

28. JEE MAIN 2002 CHEMISTRY):-

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

a) cathode - pure copper anode - impure sample

b) cathode - impure sample anode - pure copper

c) cathode - pure zinc anode - pure copper

d) cathode - impure zinc anode - impure sample

102 / 225

29. JEE MAIN 2002 CHEMISTRY):-

RNA is different from DNA because RNA contains

a) deoxyribose sugar and uracil

b) deoxyribose sugar and thymine

c) ribose sugar and uracil

d) ribose sugar and thymine

103 / 225

30. JEE MAIN 2002 CHEMISTRY):-

In XeF₂, XeF₄, XeF₆the numebr of lone pairs of Xe are respectively

a) 4, 1, 2

b) 1, 2, 3

c) 2, 3, 1

d) 3, 2, 1

104 / 225

31. JEE MAIN 2002 CHEMISTRY):-

When KMnO⁴acts as an oxidising agent and ultimately forms [MnO4]⁻¹, MnO₂, Mn₂O₃,Mn⁺²

then the number of electrons transferred in each case respectively is

a) 1, 5, 3, 7

b) 4, 3, 1, 5

c) 1, 3, 4, 5

d) 3, 5, 7, 1

105 / 225

32. JEE MAIN 2002 CHEMISTRY):-

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

a) Ce > Sn > Yb > Lu

b) Lu > Yb > Sn > Ce

c) Sn > Ce > Lu > Yb

d) Sn > Yb > Ce > Lu

106 / 225

33. 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

a) 1

b) 2

c) 4

d) 3

107 / 225

34. JEE MAIN 2002 CHEMISTRY):-

Aluminium is extracted by the electrolysis of

a) bauxite

b) molten cryolite

c) alumina

d) alumina mixed with molten cryolite

108 / 225

35. 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⁺

a) 3

b) 4

c) 1

d) 2

109 / 225

36. JEE MAIN 2002 CHEMISTRY):-

A metal M readily forms its sulphate MSO₄which is water - soluble. It forms its oxide MO which becomes inert on heating. It forms an insoluble hydroxide M(OH)₂which is soluble in NaOH solution. Then M is

a) Be

b) Mg

c) Ba

d) Ca

110 / 225

37. 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

a) 3

b) 2

c) 4

d) 1

111 / 225

38. JEE MAIN 2002 CHEMISTRY):-

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

a) specific heat

b) none of these

c) thermal capacity

d) water equivalent

112 / 225

39. 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

a) C3H4N

b) C9H12N3

c) C2H6N2

d) C6H8N2

113 / 225

40. JEE MAIN 2002 CHEMISTRY):-

If N₀is 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

a) N0/8

b) N0/4

c) N0/16

d) N0/2

114 / 225

41. JEE MAIN 2002 CHEMISTRY):-

Polymer formation from monomers starts by

a) condensation reaction between monomers

b) coordinate reaction between monomers

c) conversion of monomer to monomer ions by protons

d) hydrolysis of monomers

115 / 225

42. JEE MAIN 2002 CHEMISTRY):-

Which of the following statements is true ?

a) absolutely pure water does not contain any ions

b) chemical bond formation take place when forces of attraction overcome the forces of repulsion

c) in covalency transference of electron takes place

d) HF is less polar than HBr

116 / 225

43. JEE MAIN 2002 CHEMISTRY):-

β - particle is emitted in radioactivity by

a) conversion of neutron to proton

b) from outermost orbit

c) conversion of proton to neutron

d) β-particle is not emitted

117 / 225

44. 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

a) 3.4 eV

b) 1.51 eV

c) 6.04 eV

d) 13.6 eV

118 / 225

45. 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 )

a) 4

b) 2

c) 1

d) 3

119 / 225

46. JEE MAIN 2002 CHEMISTRY):-

The metal extracted by leaching with a cyanide is

a) Ag

b) Cu

c) Na

d) Mg

120 / 225

47. JEE MAIN 2002 CHEMISTRY):-

Which of these will not react with acetylene ?

(1) NaOH

(2) ammonical AgNO₃

(3) Na

(4) HCl

a) 1

b) 3

c) 2

d) 4

121 / 225

48. 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

a) 1

b) 2

c) 3

d) 4

122 / 225

49. JEE MAIN 2002 CHEMISTRY):-

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

a) 2.1 × 10 power −28

b) 2.1 × 10 power −34

c) 0.5 × 10 power −34

d) 0.5 × 10 power −23

123 / 225

50. JEE MAIN 2002 CHEMISTRY):-

Number of sigma bonds in P₄O₁₀is

a) 6

b) 17

c) 7

d) 16

124 / 225

51. 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

a) 1

b) 4

c) 3

d) 2

125 / 225

52. JEE MAIN 2002 CHEMISTRY):-

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

a) (RT) POWER 1/2

b) (RT) POWER -1

c) (RT) POWER -1/2

d) RT

126 / 225

53. 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.

a) 4

b) 1

c) 3

d) 2

127 / 225

54. 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)

a) 1

b) 3

c) 2

d) 4

128 / 225

55. JEE MAIN 2002 CHEMISTRY):-

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

a) ΔH and ΔS both are - ve

b) ΔH is - ve, ΔS is + ve

c) ΔH and ΔS both are + ve

d) ΔH is + ve, ΔS is - ve

129 / 225

56. 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

a) 1

b) 2

c) 3

d) 4

130 / 225

57. JEE MAIN 2002 CHEMISTRY):-

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

) is

a) 6.023 × 10 power 22

b) 558.5 × 6.023 × 10 power 23

c) half that in 8g He

d) twice that in 60 g carbon

131 / 225

58. JEE MAIN 2002 CHEMISTRY):-

The energy band gap is maximum in

a) insulators

b) metals

c) superconductors

d) semiconductors

132 / 225

59. 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

a) 1

b) 2

c) 3

d) 4

133 / 225

60. 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

a) 1

b) 2

c) 4

d) 3

134 / 225

61. JEE MAIN 2002 CHEMISTRY):-

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

a) NH3,BF4

b) (NH2) power −1,BF3

c) (NH4)power +,BF3

d) NH3, (BF4) power−1

135 / 225

62. 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

a) RT/P

b) P/RT

c) PT/R

d) PRT

136 / 225

63. JEE MAIN 2002 CHEMISTRY):-

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

a) Mg − Br bond

b) C - Mg bond

c) C − H bond

d) C - Br bond

137 / 225

64. 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

a) 8 grams

b) 32 grams

c) 16 grams

d) 2 grams

138 / 225

65. JEE MAIN 2002 CHEMISTRY):-

Cyanide process is used for the extraction of

a) aluminium

b) boron

c) silver

d) barium

139 / 225

66. 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

a) 2

b) 3

c) 1

d) 4

140 / 225

67. 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

a) 3

b) 1

c) 2

d) 4

141 / 225

68. JEE MAIN 2002 CHEMISTRY):-

In mixture A and B component show -ve deviation as

a) A - B interaction is weaker than A - A and B - B interaction

b) ΔVmix > 0

c) A - B interaction is stronger than A - A and B - B interaction

d) ΔHmix < 0

142 / 225

69. JEE MAIN 2002 CHEMISTRY):-

H₂O

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

a) displacement reaction

b) substitution reaction

c) free radical reaction

d) elimination reaction

143 / 225

70. JEE MAIN 2002 CHEMISTRY):-

Kinetic theory of gases proves

a) all of these

b) only Charles’ law

c) only Boyle’s law

d) only Avogadro’s law

144 / 225

71. JEE MAIN 2002 CHEMISTRY):-

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

a) 1

b) 2

c) 0

d) insufficient data

145 / 225

72. JEE MAIN 2002 CHEMISTRY):-

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

a) can be any of the above three

b) base

c) collector

d) emmiter

146 / 225

73. 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)

a) 1

b) 4

c) 2

d) 3

147 / 225

74. 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)

a) 3

b) 1

c) 2

d) 4

148 / 225

75. 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

a) 2

b) 1

c) 3

d) 4

149 / 225

76. JEE MAIN 2002 CHEMISTRY):-

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

(1) 4 x³

(2) 108 x⁵

(3) 27 x⁴

(4) 9x

a) 3

b) 1

c) 4

d) 2

150 / 225

77. (JEE MAIN 2002 CHEMISTRY):-

Formation of covalent bonds in compounds exhibits

a) particle nature of electron

b) none of these

c) wave nature of electron

d) both wave and particle nature of electron

151 / 225

78. JEE MAIN 2002 CHEMISTRY):-

With increase of temperature, which of these changes?

a) fraction of solute present in water

b) weight fraction of solute

c) molality

d) mole fraction

152 / 225

79. JEE MAIN 2002 CHEMISTRY):-

The compound is used as

a) antiseptic

b) pesticide

c) antibiotic

d) analgesic

153 / 225

80. (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

a) 0eV

b) 3.4eV

c) 10.2eV

d) 6.8eV

154 / 225

81. JEE MAIN 2002 CHEMISTRY):-

Species acting as both Bronsted acid and base is

(1) (HSO4)⁻¹

(2) Na₂CO₃

(3) NH₃

(4) OH⁻¹

a) 1

b) 2

c) 4

d) 3

155 / 225

82. JEE MAIN 2002 CHEMISTRY):-

Arrange Ce⁺³, La⁺³, Pm⁺³and Yb⁺³in 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

a) 3

b) 2

c) 4

d) 1

156 / 225

1. (JEE MAIN 2002 MATH):-

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

a) 0

b) 2

c) 1

d) 3

157 / 225

1. (JEE MAIN 2002 PHYSICS):-

An astronomical telescope has a large aperture to

a) increase span of observation

b) reduce spherical aberration

c) have high resolution

d) have low dispersion

158 / 225

2. (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

a) Q/2

b) Q/4

c) −Q/2

d) −Q/4

159 / 225

3. (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

a) a, g

b) g - a, g

c) g, g

d) g - a, g - a

160 / 225

4. (JEE MAIN 2002 PHYSICS):

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

a) v / 2

b) v / 3

c) zero

d) v

161 / 225

5. (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

a) q/3πϵ0L

b) q/2πϵ0L

c) q/4πϵ0L

d) zero

162 / 225

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

a) force and work

b) stress and energy

c) force and stress

d) torque and work

163 / 225

7. (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

a) 10 N, 8 N

b) 16 N, 2 N

c) 13 N, 5 N

d) 12 N, 6 N

164 / 225

8. (JEE MAIN 2002 PHYSICS):-

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

a) decrease

b) increases if the child is tall and decreases if the child is short

c) increase

d) remains same

165 / 225

9. (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

a) 10 A

b) 6 A

c) 4 A

d) 2 A

166 / 225

10. (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_Aand

B_B, produced by them will be

a) 1

b) 1/2

c) 4

d) 2

167 / 225

11. (JEE MAIN 2002 PHYSICS):

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

a) GMm/6R

b) GMm/12R2

c) GMm/3R2

d) GMm/8R

168 / 225

12. (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

a) 2 V

b) 0.1 V

c) 0.5 V

d) 8 V

169 / 225

13. (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

a) E / ROOT 2

b) E

c) ZERO

d) E / 2

170 / 225

14. (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

a) θi − θc = 2θn

b) (θi+θc) / 2 = θn

c) θi + θc = θn

d) θc − θi = 2θn

171 / 225

15. (JEE MAIN 2002 PHYSICS):-

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

a) magnetic induction

b) charge

c) speed

d) mass

172 / 225

16. (JEE MAIN 2002 PHYSICS)

When temperature increases, the frequency of a tuning fork

a) increases

b) remains same

c) increases or decreases depending on the material

d) decreases

173 / 225

17. (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

a) y = −a sin(ωt − kx)

b) y = −a sin(ωt + kx)

c) y = a sin(ωt + kx)

d) y = a sin(ωt − kx)

174 / 225

18. (JEE MAIN 2002 PHYSICS):-

Which of the following is used in optical fibres ?

a) refraction

b) total internal reflection

c) scattering

d) diffraction

175 / 225

19. (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

a) 5

b) 10

c) 20

d) 25.5

176 / 225

20. (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

a) RvB

b) zero

c) VBL/R

d) VBL

177 / 225

21. (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

a) 24/16

b) 7/5

c) 2/5

d) 12/7

178 / 225

22. (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

a) 5 : 3

b) 9 : 7

c) 8 : 1

d) 4 : 3

179 / 225

23. (JEE MAIN 2002 PHYSICS):

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

a) 2MR2

b) MR2/2

c) MR2

d) MR2/4

180 / 225

24. (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

a) 12, 6

b) 13, 5

c) 14, 4

d) 11, 7

181 / 225

25. (JEE MAIN 2002 PHYSICS):-

Which statement is incorrect?

a) reversible cycle has more efficiency than an irreversible on

b) Carnot cycle has the maximum efficiency in all cycles

c) Carnot cycle is a reversible one

d) all reversible cycles have same efficiency

182 / 225

26. (JEE MAIN 2002 PHYSICS):-

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

a) green leaves

b) black holes

c) black board paint

d) red roses

183 / 225

27. (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

a) move towards the earth.

b) continue to move in its orbit with same velocity

c) become stationary in its orbit

d) move tangentially to the originally orbit in the same velocity

184 / 225

28. (JEE MAIN 2002 PHYSICS):-

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

a) curved path of electron and proton will be same (ignoring the sense of revolution)

b) they will move undeflected

c) curved path of electron is more curved than that of the proton

d) path of proton is more curved

185 / 225

29. (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

a) 2 : 1

b) 1 : 2

c) 1 : 4

d) 4 : 1

186 / 225

30. (JEE MAIN 2002 PHYSICS):

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

a) specific heat

b) temperature gradient

c) thermal capacity

d) water equivalent

187 / 225

31. (JEE MAIN 2002 PHYSICS):-

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

a) expand

b) compress

c) insulator

d) none of these

188 / 225

32. (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)

a) IT

b) I/t

c) (It) power 1/2

d) I power2 t

189 / 225

33. (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?

a) 1 cm

b) 3 cm

c) 2 cm

d) 4 cm

190 / 225

34. (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

a) T = w R = wsin θ

b) T = wcos θ R = wtan θ

c) T = 2w cos θ R = w

d) T = wsin θ R = wcot θ

191 / 225

35. (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

a) F2 F3/mF1

b) F2/m

c) (F2 − F3)/m

d) F1/m

192 / 225

36. (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

a) 5 : 3

b) 1 : 1

c) 16 : 1

d) 4 : 1

193 / 225

37. (JEE MAIN 2002 PHYSICS):-

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

a) 5

b) 6

c) 8

d) 7

194 / 225

38. (JEE MAIN 2002 PHYSICS):-

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

a) 9 × 10 power−9

b) 10 power −6

c) 1.1 × 10 power10

d) 10 power −3

195 / 225

39. (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)

a) all same

b) ring

c) hollow sphere

d) solid sphere

196 / 225

40. (JEE MAIN 2002 PHYSICS):-

In a simple harmonic oscillator, at the mean position

a) kinetic energy is maximum, potential energy is minimum

b) both kinetic and potential energies are minimum

c) both kinetic and potential energies are maximum

d) kinetic energy is minimum, potential energy is maximum

197 / 225

41. (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

a) 60

b) 25

c) 30

d) 15

198 / 225

42. (JEE MAIN 2002 PHYSICS):-

Electromagnetic waves are transverse in nature is evident by

a) interference

b) reflection

c) diffraction

d) polarization

199 / 225

43. (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 ?

a) μ0 /2πr i1i2 dl sin θ

b) μ0 /2πr i1i2dl tan θ

c) μ0 /2πr i1i2dl cos θ

d) μ0/ 4πr i1i2dl sin θ

200 / 225

44. (JEE MAIN 2002 PHYSICS):-

Which of the following are not electromagnetic waves?

a) X- rays

b) gamma rays

c) cosmic rays

d) β- rays

201 / 225

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

a) 5Ω

b) 2Ω

c) 6Ω

d) 4Ω

202 / 225

46. (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

a) 24 J

b) 8 J

c) 16 J

d) 32 J

203 / 225

47. (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?

a) 16

b) 6

c) 4

d) 8

204 / 225

48. (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

a) 4 : 1

b) 1 : 2

c) 1 : 4

d) 2 : 1

205 / 225

49. (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

a) 4

b) 1

c) 3

d) 2

206 / 225

50. (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

a) VB > VA

b) their velocities depend on their masses

c) VA = VB

d) VA > VB

207 / 225

51. (JEE MAIN 2002 PHYSICS):-

Even Carnot engine cannot give 100% efficiency because we cannot

a) find ideal sources

b) reach absolute zero temperature

c) prevent radiation

d) eliminate friction

208 / 225

52. (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

a) T

b) T/√n

c) nT

d) T√n

209 / 225

53. (JEE MAIN 2002 PHYSICS):-

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

a) low resistance in parallel

b) high resistance in series

c) high resistance in parallel

d) low resistance in series

210 / 225

54. (JEE MAIN 2002 PHYSICS):-

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

a) CV

b) 1/ 2 nCV2

c) CV2

d) 1/2n CV 2

211 / 225

55. (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

a) R/(R power 2 + ω power 2 L power 2) power 1/2

b) ωL/R

c) R/(R power 2 − ω power 2 L power 2) power 1/2

d) R/ωL

212 / 225

56. (JEE MAIN 2002 PHYSICS):

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

a) mgR

b) mgR/4

c) 2mgR

d) mgR/2

213 / 225

57. (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

a) 5 : 4

b) 4 : 5

c) 16 : 25

d) 9 : 1

214 / 225

58. (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?

a) mvl

b) mvr

c) mvL

d) zero

215 / 225

59. (JEE MAIN 2002 PHYSICS):-

The inductance between A and D is

a) 1 H

b) 0.66 H

c) 3.66 H

d) 9 H

216 / 225

60. (JEE MAIN 2002 PHYSICS):-

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

a) remain same

b) decrease

c) decrease for some, while increase for others

d) increase

217 / 225

61. (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 ?

a) 4

b) 9.2

c) 9.8

d) 7.8

218 / 225

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

a) 20 K

b) 80 K

c) 73 K

d) 3 K

219 / 225

63. (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

a) 80

b) 40

c) 120

d) 20

220 / 225

64. (JEE MAIN 2002 PHYSICS):-

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

a) increases, decreases

b) decreases, increases

c) decreases for both

d) increases for both

221 / 225

65. (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

a) 288 cps

b) 292 cps

c) 294 cps

d) 286 cps

222 / 225

66. 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?

a) ( M/ (M+2m ))ω1

b) (( M+m) / M ))ω1

c) (( M+m)/ m ))ω1

d) ( M /(M+4 m ))ω1

223 / 225

67. (JEE MAIN 2002 PHYSICS):-

Infra red radiation is detected by

a) pyrometer

b) spectrometer

c) photometer

d) nanometer

224 / 225

68. (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

a) 1 : 4

b) 1 : 1

c) 1 : 16

d) 1 : 8

225 / 225

1. JEE MAIN 2002 CHEMISTRY):-

What is the product when acetylene reacts with hypochlorous acid ?

(1) CH₃COCl

(2) ClCH₂CHO

(3) Cl₂CHCHO

(4) ClCHCOOH

a) 2

b) 4

c) 1

d) 3

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