01. The magnitude of vector given by i + j k is (A)1

(B)3

(C)

(D)2

02. A point with position vector 2i 3j will lie in

(A) I quadrant

(B) II quadrant

(C) III quadrant

(D)IV quadrant

03. If sum and difference of two vectors is of same magnitude then the dot product of these vectors must be (A)0

(B)2

(C)1

(D)304. The answer of ( i + 2j) .(i) =(A) unit vector

(B)1

(C)3

(D)0

05. IF two vectors are of magnitude 3 and 4 then their resultant may have magnitude as

(A)0.4

(B)8

(C)6.4

(D)none

06. Angle between vectors given by 2j and -4k is (A)0o

(B)180o

(C)450

(D)90o

06. Vector quantity is (A)momentum

(B)pressure

(C)mass

(D)charge

07. The fundamental unit is/are

(A)length(B)kelvin(C)current(D)all

08. Order of magnitude of 12 is

(A)2

(B)102

(C)101

(D)12

09. Magnitude of 12j is

(A)2

(B)0

(C)1

(D)12

10. The value of ( j + k ).( i + j) is

(A)1

(B)2

(C)3

(D)4

By using symbolic representations we can express dimensions of physical quantities. Select the proper representation for indicated physical quantity

11. In gas equation for real gases

(P+(a/V))(V-b)=const. Pressure coefficient a will have dimensions as(A)[ML-7T-2](B) [ML5T-2] (C) [M1L-1T-2] (D) [L6]12. In above equation dimension of b is (A)[L2]

(B)[L3]

(C)[L0]

(D)[L]13. [density]

(A)[ML-1] (B) [ML-2] (C) [ML-3] (D) Any 14. [ charge ](A) [AT-1 ]

(B) [A-1T ]

(C) [Q ]

(D) none of these15. [power]

(A) [ ML2T 2]

(B) [ ML2T -2]

(C) [ ML2T -3]

(D) watt16. Which is dimensionless?(A) solid angle x area

(B) frequency / time

(C) power of lens x width (D) speed / acceleration17. [potential difference]/[potential](A) [ML2T -3A-1]

(B) [MLTA]

(C) [A-1T-1 ]

(D) [M0L0T 0A0]

18. [resistance]

(A) [ML2T -3A-1 ]

(B) [ ML2T -3A-2]

(C) [ML3T -2A-1]

(D) [ML2T -3A2]

19. [ G].[ g](A) [ML2T -2 ]

(B) [ M-1 L4T -4] (C) [M-1 L3T -2] (D) Cant multiply dimensions of dissimilar quantities20. [ gravitational acceleration]

(A) [ML2T -2 ]

(B) [ M-1 L2T -2]

(C) [M-1 L3T -2]

(D) [ LT -2]

21. [(current)(resistance)](A) [ML2T -2]

(B) [AR]

(C) [ML2T-3]

(D) [M2L4T -6A-3]

22. [Work]+[Energy]

(A) [ML2T 2]

(B) [ML2T -2] (C) 2 [ML2T -2] (D) Dimension of 2 dissimilar quantities cant be added23. [Momentum]+[Force](A) [ M2L2T-3]

(B) [ T -1] (C) [ MLT -1] (D) Dimension of 2 dissimilar quantities cant be added24. [permittivity of free space]

(A) [ML-3T4A2]

(B) [M-1L-3T 2A2]

(C) [M-1L-2T4A2]

(D) [M-1L-3T4A2]

25. [frequency](A) [T -1] (B) [Hz] (C) [T]

(D) [L -1]

Following questions 26 to 40 are based on given figure, All sides of figure are of length 1 and it is regular. 26. Angle between and is

(A) 120o(B)60o

(C)0o

(D)30o27. Angle between and is

(A) 120o(B)90o(C)0o

(D)30o28. Angle between and is

(A) 30o

(B)90o

(C)60o

(D)120o29. Angle between and is

(A) 120o(B)180o(C)60o

(D)no angle as non intersecting30. Angle between and is

(A) 120o(B)180o(C)60o

(D) no angle as non intersecting 31. + =

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

32. + =(A) (B) (C) (D)

33. Magnitude of + =

(A) 1 (B) 2 (C) 3 (D)0

34. Dot product of ( =(A)-1/2

(B)1/2

(C)1/(2(D)-1

35. Dot product of ( =

(A)-1/2

(B)2

(C)0

(D)-136. Magnitude of + =

(A) 1 (B) 2 (C) 3 (D)0

37. Magnitude of + + =

(A) 0 (B) 2 (C) 1 (D)3

38. Magnitude of + + =

(A) 0 (B) 1 (C) 2 (D)3

39. Magnitude of + + =

(A) 0 (B) 2 (C) 1 (D)3

40. Magnitude of + =

(A) 0 (B) 3 (C) 1 (D)2

41. cos(135o) =(A)-1/(2(B)1/(2(C)(3/2(D)0

42. sin(120o)(A)-1/(2(B) (3/2(C) 1/(2(D)0

43. sin(270o)(A)-1/2

(B)1/(2(C)-1

(D)0

44.cos(150o)(A)-1/2

(B)1/(2(C)-1

(D)-(3/2

45. cos(180o) (A)-1

(B)1/(2(C)1

(D)0

46. sin(() =(A)-1/2

(B)0

(C)-1

(D)1

47. cos(() =(A)-1/2

(B)1/(2(C)-1

(D)0

48. cos((/2) =(A)-1/2

(B)1/(2(C)-1

(D)0

49. cos(2(/3) =(A)-1/2

(B)1/(2(C)-1

(D)0

50. cos((/4)=(A)-1/2

(B)1

(C)1/(2(D)0

If i , j and k are unit vectors along X,Y and Z direction then the value of

51. i ( j =(A)-1/2

(B)1/(2(C)-1

(D)0

52. 2i ( 2k =(A)0

(B)1

(C)-1

(D)4

53. i ( ( 2j + 3k) =(A)-1/2

(B)0

(C)-1

(D)1

54. i ( -3i =(A)-1/2

(B)1/(2(C)-3

(D)0

55. 2j ( ( i + 3k) =(A)-1/2

(B)1/(2(C)-1

(D)0

56. Angle between 2i and 3j is (A)(/2

(B)6

(C) 0(D)(57. Angle between -2i and 3j is (A)((/2)o(B)90o

(C) 0(D)A & B

58. Angle between -2i and 3i is

(A)(/2

(B)6

(C) (

(D)0

59. Angle between i + j and i j is (A)(

(B)6

(C) 0

(D)(/2

60. If dot product between two non zero vectors is equal to zero then the angle between them is (A)(/2

(B)6

(C) 0

(D)(61. If dot product of two unit vectors is 1 then angle between them is (A)(/2

(B)0

(C) (/3

(D)(62. If magnitude of sum of two unit vectors is one then angle between them is

(A)(/2

(B)0

(C) 2(/3(D)(62. If magnitude of sum and difference of two vectors is same then angle between them is (A)(/4

(B)0

(C) (/3

(D)(/2

63. Magnitude of -4k is (A)4

(B)-4

(C) 1

(D)-1

64. ( 2i + 3j + k) ( ( 3i 2j + 2k) =(A)1

(B)2

(C) 3

(D)0

65. (2i + 3j)((4k j) =(A)2

(B)1

(C) -3

(D)0

66. If radius of circle was measured as 2 ( 0.02 m then error in measurement of diameter is

(A) 0.01m(B) 0.04m(C) 0.08m(D) 0.02m

67. If the reading of length by an instrument is indicated as 2.5 ( 0.01m then percentage error is (A)0.4 %(B)0.2%(C)0.1%(D)2.5%

68. The angle subtended at centre by an arc of length 3R of a circle of radius R is (A)3R

(B)3 radian(C)3( radian(D)3o69. Which of the following are fundamental units (A) coulomb(B)degree(C) meter (D) gram

70. Parallax method is used for measurement of (A) distance of a star

(B) diameter of planet

(C) brightness of object(D) A or B

71. Method to reduce the error is (A) take maximum readings

(B) use instrument with maximum least count

(C) take average of all readings

(D) all of above72. Which of the following is indicated properly (A)3 Newton force

(B) 13 newton force

(C) 4 newtons force

(D) 5N work

73. Which of the following is indicated properly Volume of body is 10m3 and density is 1.3kg/m3 then its weight is --- (A)13 Kilogram

(B) 13 kg (C) 13 Newton

(D) 13 newton74. If radius of circle was measured as 2 ( 0.02 m then relative error in measurement of area is

(A) 0.02(B)0.01

(C)0.08(D)0.0475. The error due to appearance of sun spots is an example of

(A)random error

(B) solar error

(C)instrumental error

(D) systematic errorA

B

C

D

E

F

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