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Chapter 2

Vectors and Equilibrium

Encircle the most appropriate answer among the following options

1.         A scalar quantity can be described by choose which one is correct:

(a) Magnitude

(b) Unit

(c) Magnitude and unit

(d) Number

2.         A vector quantity can be described by magnitude, unit and choose which one is correct:

(a) Direction

(b) Rotation

(c) Dimension

(d) Unit vector

3.         Choose one Which among of the following is a vector quantity choose which one is correct:

(a) Energy

(b) Power

(c) Work

(d) Momentum

4.         Choose Which among of the following is a scalar quantity choose which one is correct:

(a) Mass

(b) Displacement

(c) Force

(d) Torque

`5.        Two lines are drawn at right angle to each other are known as choose which one is correct:

(a) Coordinate axis

(b) xy-axis

(c) Components

(d) Cartesian axis

6.         A vector which gives the direction of a given vector is called choose which one is correct:

(a) Unit vector

(b) Position vector

(c) Null vector

(d) Negative vector

7.         Choose one among the following When a vector is divided by its magnitude we get choose which one is correct:

(a) Null vector

(b) Unit vector

(c) Zero vector

(d) Position vector

8.         Pick out the scalar quantity among the following choose which one is correct:

(a) Force

(b) Torque

(c) Time

(d) Velocity

9.         Pick out the vector quantity among the following choose which one is correct:

(a) Power

(b) Energy

(c) Force

(d) Mass

10.       The magnitude of a null vector is choose which one is correct:

(a) One

(b) Zero

(c)  Double

(d) Negative

Il.         Null vector is a vector having zero magnitude and choose which one is correct:

(a) Arbitrary direction

(b) No direction

(c) Specific direction

(d) Opposite direction

12.       Unit vector of a vector A describes choose which one is correct:

(a) Direction of a given vector

(b) Magnitude of a given vector

(c) Shape of a given vector

(d) All of above

13.       The unit vector of among vector is determined choose which one is correct:

(a) By multiplying the vector with its own magnitude

(b) By dividing the vector with its own magnitude

(c) Both (a) and (b)

(d) None of these

14.       Unit vector is used to specify choose which one is correct:

(a) Direction of a vector

(b) Position Of a vector

(c) Magnitude of a vector

(d) Dimension of a vector

15.       An example of a scalar quantity choose which one is correct:

(a) Displacement

(b) Acceleration

(c) Force

(d) Speed

16.       An example of a vector quantity choose which one is correct:

(a) Speed

(b) Work

(c) Acceleration

(d) Mass

17.       A vector which has magnitude one is called choose which one is correct:

(a) Null vector

(b) Unit vector

(c) Resultant vector

(d) Position vector

18.       A vector which has zero magnitude is called choose which one is correct:

(a) Null vector

(b) Unit vector

(c) Resultant vector

(d) Position vector

19.       The sum of two or more vectors is equal to a single vector which is called choose which one is correct:

(a) Component of vector

(b) Product vector

(c) Null vector

(d) Resultant vector

20.       Resultant of two vectors of magnitude 24 and 7 is 25. The angle between them is choose which one is correct:

(a) 90o

(b) 180o

(c) 360o

(d) 270o

21.       When a vector A is multiplied by a negative number then its direction choose which one is correct:

(a) Remains same

(b) Changed by 180 0

(c) Does not change

(d) None of these

22.       When a vector A  is multiplied by a positive number then its direction choose which one is correct:

(a) Remains same

(b) Changed by 180o

(c) Does not change

(d) None of these

23.       The splitting up of a vector into its components is called choose which one is correct:

(a) Sum of vector

(b) Subtraction of a vector

(c) Resolution of a vector

(d) None of these

24.       The angle between two rectangular components is choose which one is correct:

(a) 600

(b) 900

(c) 1800

(d) 2700

25.       The resultant of two anti-parallel vectors A and B is choose which one is correct:

(a) A +B

(b) A – B

(c) Zero

(d) None of these

26.       Two vectors having same magnitude and direction are called choose which one is correct:

(a) Equal vectors

(b) Unequal vectors

(c) Null vectors

(d) None of these

27.       The sum of two equal and opposite vectors is a vector called choose which one is correct:

(a) Equal vector

(b) Null vector

(c) Position vector

(d) Unit vector

28.       The resultant of three vectors whose  magnitude are 3 units in east, 12 units in north and 4 units vertically upwards is

(a)

(b) 13

(c)

(d) 19

29.       What is the resultant of 3N and 4N forces acting at right angle to each other choose which one is correct:

(a) 90 N

(b) 5 N

(c) 7

(d) 1 N

30.       If a force of 10 N makes an angle of 30 0 with x-axis, its x-component is given by choose which one is correct:

(a) 86.6 N

(b) 0.866 N

(c) 8.66 N

(d) None of these

31.       Choose one among the following Two forces of 10 N and 7 N respectively are acting to an object. The minimum value of resultant is choose which one is correct:

(a) 0 N

(b) 10N

(c) 7 N

(d) 3 N

32.       Choose one among the followingTwo forces act together on a body, the magnitude of their resultant is greatest when the angle between the forces is choose which one is correct:

(a) 450

(b) 600

(c) 00

(d) 180o

33.       The position vector in xy-plane is written as choose which one is correct:

(a) r = x+ y

(b) r = y + z

(c) r =  y + z

(d) None of these

34.       The position vector in xz-plane is written as choose which one is correct:

(a) r = x+ y

(b) r = y + z

(c) r =  x + z

(d) None of these

35        The position vector in yz-plane is given by choose which one is correct:

(a) r = x+ z

(b) r = x + y

(c) r =  y + z

(d) r =  x + y+ z

36.       If a force of 50 N is acting along x-axis, then its component along y-axis will be choose which one is correct:

(a) The same

(b) Zero

(c) Half magnitude

(d) None of these

37.       Choose one among the A force of 10 N is acting along z-axis, its component along x-axis and y-axis is choose which one is correct:

(a) 5N, 8 N

(c) 5 N each

(d) Zero

38.       If two vectors of magnitude Fl and F2 act on a body at an angle O, the magnitude of their resultant is choose which one is correct:

(a)

(b)

(c)

(d)

39.       The magnitude of a vector A = Ax + Ay + Az is given by choose which one is correct:

(a) Ax + Ay + Az

(b) Ax cos

(c)

(d) None of these

40.       If a vector A makes an angle with x-axis, the magnitude of its, x-component is choose which one is correct:

(a) Ay = A sin

(b) Ax = A cos

(c) Both (a) and (b)

(d) None of these

41.       Choose one If a vector A makes an angle  with x-axis, the magnitude of its y-component is choose which one is correct:

(a) Ay = A sin

(b) Ax = A cos

(c) Both (a) and (b)

(d) None of these

42.       The reverse process of vector addition is called choose which one is correct:

(a) Subtraction of a vector

(c) Negative of a vector

(d) Resolution of a vector

43.       The expression r = a + b is for choose which one is correct:

(a) Unit vector

(b) Position vector

(c) Null vector

(d) Negative vector

44        The direction of a resultant vector R is given by choose which one is correct:

(a)  = tan-1

(b)  = tan-1

(c)  = sin-1

(d) None of these

45.       If both the components of a vector are negative then vector is in choose which one is correct:

46.       The scalar product is also known as choose which one is correct:

(a) Vector product

(b) Dot product

(c) Vector sum

(d) Scalar sum

47.       The scalar product of A and B is given by choose which one is correct:

(a) A x B

(b) A . B

(c)  A – B

(d) AB

48.       The projection of vector A on B is given by choose which one is correct:

(a)

(b)

(c) AB cos 0

(d)

49.       The self scalar product of A is given by choose which one is correct:

(a)

(b)  A3

(c) A2

(d)  A

50.       If A and B are anti-parallel then their scalar product is choose which one is correct:

(a) AB cos 0

(b) -AB

(c) -AB cos 0

(d) Zero

51.       The scalar product of two similar unit vector is choose which one is correct:

(a) One

(b) Zero

(c) Twice

(d) Negative

52.       If A . B = B . A this is called choose which one is correct:

(a) Commutative law

(b) Associative law

(c) Distributive law

(d) None of these

53.       If the multiplication of two vectors results into a vector quantity then the product is called choose which one is correct:

(a) Dot product

(b) Vector product

(c) Scalar product

(d) None of these

54.       If the multiplication of two vectors result into a scalar quantity then the product is called choose which one is correct:

(a) Vector product

(b) Cross product

(c) Scalar product

(d) None of these

55.       If A x B points along positive z-axis, then vector A and B will lie in choose which one is correct:

(a) zx-plane

(b) xy-plane

(c) yz-plane

(d) None Of these

56.       If two vectors A and B are non-parallel vectors then the direction of A x B is along choose which one is correct:

(a) y-axis

(b) z-axis

(c) x-axis

(d) None of these

57.       Select the correct answer choose which one is correct:

(a) . =

(b) . = 0

(c) . =

(d)  . = 1

58.       Select the correct one choose which one is correct:

(a) A . B = – B . A

(b) A . B = ½  B . A

(c) A . B = B . A

(d) None of these

59.       Which of the following unit vectors represent the direction of normal drawn on a specific surface choose which one is correct:

(a)

(b)

(c)

(d)

60.       If A= 2 +4 + 5 and  B =  2 +2 + ,What will be the value of A . B choose which one is correct:

(a) 9

(b) -9

(c) 5

(d) 10

61        If A= 2 +4 + 5 then What will be the value of  choose which one is correct:

(a)

(b)

(c)

(d)        None of these

62.       The scalar product of two vectors is zero when choose which one is correct:

(a) They are equal vectors

(b) They are in the same direction

(c) They are at right angle

(d) None of these

63.       If the vectors A and B are parallel to each other then choose which one is correct:

(a) A . B = AB

(b) A . B AB

(c) A . B = 0

(d) A . B = AB cos 0

64.       If A = Ax + Ay + Az and B = Bx + By + Bz then the value of A . B is choose which one is correct:

(a) AxBx + A,yBy + AzBz

(b) AxBx+ AyBz +AzBz

(d) None of these

65.       The scalar product of two vectors will be negative if choose which one is correct:

(a) They are at right angle to each other

(b) They are parallel

(c) They are anti-parallel

(d) None of these

66.       The dot product of  .  = .  =  .  is equal to choose which one is correct:

(a) 0

(b) 1

(c) -1

(d) 2

67.       The dot product of  .  = .  =  .  is equal to choose which one is correct:

(a) 0

(b) 1

(c) -1

(d) 2

68.       The vector product of two vectors A and B is given by choose which one is correct:

(a) AB sin 0

(b) AB sin 0

(c) AB sin 0

(d) none

69.       Vector product does not hold choose which one is correct:

(a) Commutative law

(b) Associative law

(c) Distributive law

(d) None of these

70.       The direction of vector product is choose which one is correct:

(a) Parallel to plane

(b) Perpendicular to plane

(c) Anti-parallel

Along the plane

71.       Self cross-product of a vector is equal to choose which one is correct:

(a) Zero

(b) One

(c) Double

(d) Negative

72.       The cross product of unit vectors   .  = .  =  .

(a) One

(b)

(c)

(d) Zero

73.       If A x B = 0 then the angle between the vectors is choose which one is correct:

(a) 600

(b) 900

(c) 270 0

(d) 1800

74.       The magnitude of A x B is equal to area of choose which one is correct:

(a) Triangle

(b) Circle

(c) Parallelogram

(d) Rectangle

75.       The cross product of two vectors will be negative when choose which one is correct:

(a) They are anti-parallel

(b) They are parallel

(c) They are rotated through an angle of 2700

(d) None of these

76.       The cross product of two parallel vectors A and B is equal to choose which one is correct:

(a) AB sin 0

(b) AB sin 0

(c) AB

(d) Zero

77.       Select the correct one choose which one is correct:

(a) A . B = A . B

(b) A x B  A x B

(c)  A x B = A x B

(d) None of these

78.       The cross product of i x j is equal to choose which one is correct:

(a)

(b)

(c) 0

(d)

79.       The cross product of  x  is equal to choose which one is correct:

(a)

(b)

(c) 0

(d)

80.       Select the correct one choose which one is correct:

(a)  x  =

(b)  x  =

(c)  x  =

(d)  x  =

81.       The turning effect of a force is called its moment or choose which one is correct:

(a) Momentum

(b) Inertia

(c) Torque

(d) Impulse

82.       The perpendicular distance from the line of action to the pivot is called choose which one is correct:

(a) Displacement

(b) Momentum

(c) Moment distance

(d) Moment arm

83.       The SI unit of torque is choose which one is correct:

(a) N , m2

(b) N , m

(c) N/m2

(d) N2m

84.       The expression for torque is given by choose which one is correct:

(a) rF cos 0

(b) rF sin 0

(c) rF sin 0

(d) rF cos 0

85.       Torque acting on a body determines its choose which one is correct:

(a) Velocity

(b) Momentum

(c) Force

(d) Angular momentum

86.       When line of action of applied force passes through the pivot point then torque will be choose which one is correct:

(a) Maximum

(b) Constant

(c) Negative

(d) Zero

87.       The direction of torque t = r x F is determined by choose which one is correct:

(b) Right hand rule

(c) Left hand rule

(d) None of these

88.       Conventionally anti-clock wise torque is taken as choose which one is correct:

(a) Zero

(b) Negative

(c) Positive

(d) None of these

89.       Conventionally clockwise torque is taken as choose which one is correct:

(a) Zero

(b) Negative

(c) Positive

(d) None of these

90.       Torque is also called as choose which one is correct:

(a) Moment of inertia

(b) Moment arm

(c) Moment of force

(d) Angular velocity

91.       The dimension of torque are choose which one is correct:

(a) [ML2T2]

(b) [MLT-I]

(c) [MOT]

(d) [M2LT-2]

92.       Torque =       x Force choose which one is correct:

(a) Velocity

(b) Momentum

(c) Arm of the weight

(d) Moment arm

93.       Let torque r= r x F then direction of torque is choose which one is correct:

(a) In the direction F

(b) In the direction of r

(c) Normal to the plane

(d) None of these

94.       Two equal and opposite forces acting on a body form a choose which one is correct:

(a) Momentum

(b) Torque

(c) Couple

(d) None of these

95.       Indicate The point at which the whole weight of the body acts is called choose which one is correct:

(a) Torque

(b) Centre of gravity

(c) Centre of mass

(d) Centre of the body

96.       The centre of gravity of a uniform body is choose which one is correct:

(a) At the axis of rotation of the body

(b) At its centre

(c) At its one end

(d) None of these

97.       The centre of gravity of a triangular plate is choose which one is correct:

(a) At the axis of rotation of the body

(b) At its centre

(c) At the intersections of medians

(d) None of these

98.       If a body is at rest or moving with uniform velocity then it is said to be in choose which one is correct:

(a) Torque

(b) Equilibrium

(c) Both (a) and (b)

(d) None of these

99.       Torque has zero value if angle between r and F  choose which one is correct:

(a) 600

(b) 450

(c) 900

(d) 00

100.     The torque has maximum value if angle between            r and F is choose which one is correct:

(a) 600

(b) 450

(c) 900

(d) 00