Physics Vectors and Equilibrium MCQs Chapter 2 Class 11

Physics Vectors and Equilibrium for First Year Entry Tests and FSC Board Exams

Vectors and Equilibrium is an essential chapter in First Year Physics that explains how forces interact and balance in physical systems. Therefore, this topic is important for students preparing for MDCAT, NUMS, AKU, NUST, UET ECAT, and FSC First Year board exams. Key concepts include vector addition and subtraction, resolution of vectors, resultant forces, conditions of equilibrium, and free-body diagrams, which are frequently tested in MCQs and numerical problems.

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Created on February 07, 2022 By Ali Durrani

Physics Ch 2 Class 11 Scalars and Vectors

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1 / 56

What happens to bulk of potential energy of a glass that falls from a table and breaks

Converted into kinetic energy

Wasted In air

Converted into sound

Consumed in breaking of glass

2 / 56

Two vectors are of magnitude 50 and 31,the resultant might be?

3 / 56

If a force of 2N acting through a moment arm of V2 rn produces a torque of V6 Nm, what is the angle between F and r.

0 degrees

30 degrees

45 degrees

60 degrees

4 / 56

The cross product of three unit vectors (i, j, k) equals

-1

infinity

5 / 56

If the dot product of vectors Is equal to product of their magnitudes, the angle between them

180

270

6 / 56

i.(j*k)

-1

7 / 56

If y-component of a force acting In y direction is 6N the x-component will be

12N

Zero

None

8 / 56

If the velocity v being a vector quantity is multiplied to scaler quantity mass, the result will be:

Vector

Scaler

These two cannot be multiplied

None

9 / 56

A vector having magnitude equal to one is called

Position vector

Unit vector

Null vector

None of these

10 / 56

How much angle does the vector 2i+3j makes with y axis.

11 / 56

Three books A, 8, C are place on each other with A on top, B in mid and C at bottom. If weight of A is 2N, B is 5N and that of C is 4N, what is the total force being exerted on book B?

11N

5 N

7 N

6 N

12 / 56

Rain is vertically downwards with the velocity of 30m/s , a wind blows from north to south direction with 10m/s then at what angle should the umbrella of the person be held and in which

Tan^-1 (1/3) vertical towards north

Tan^-1 (1/3) vertical towards south

Co^-1 (1/3) vertical towards north

Cos^-1 (1/3) vertical towards south

13 / 56

Dimension of Torque Is?

MLT^-2

M L^2T^-2

M L^-2T^2

M L^-2T^-2

14 / 56

{j * j}.i

-1

15 / 56

If a Force F of magnitude 5N makes an angle of 60 with x-axis, the x-component of the vector will
be:

F/2

√3F/2

F/√2

16 / 56

(1, 1, 1) • (2, 2, 2) =

17 / 56

If A and B arc two vectors, area of parallelogram formed by these vectors will be?

a) AB b) A . c) AB cos 0 d) lAx131

A+B

AB cos 0

|A*B|

18 / 56

What is the angle made by the vector -i-5j with x-axis?

tan-1 (1/5)

90 + tan-1 (1/5)

180 + tan-1 (1/5)

270 – tan-1 (1/5)

19 / 56

Which of the following option(s) represent a vector quantity?

kgms^-1

kgms^-2

Both a and b

20 / 56

If the magnitude of vectors A, B and C is 12, 5 and 13 units respectively and A + 13 = What will be the angle between vectors A and B?

21 / 56

Two vectors A and B both have magnitude of 5N and the angle between them is 135, then magnitude of A x B will be

17.678

-17.678

-25

22 / 56

Two vectors of magnitude 10m and 20m have an angle 30° between them. The component of shorter vector parallel to the longer vector will be:

5 m

8.66 m

10 m

17.32 m

23 / 56

Vector components In space are

infinity

24 / 56

If x-component of a vector is v3 and y-component is 1, then the angle made by the vectoralong x-axis is:

ETEA 2017
Physics
Scalars and Vectors
Elimination Tool:

A) 60 O

B) 30 O

C) 45 O

D) 90 O

25 / 56

The acceleration is a _____.

PMC Practice 6
Physics
Scalars and Vectors
Elimination Tool:

A) Vector quantity

B) Scalar quantity

C) Dimensionless quantity

D) None of these

26 / 56

Vector is quantity that ——

PMC Practice 4
Physics
Scalars and Vectors
Elimination Tool:

A) Has direction

B) Has magnitude

C) Follow rules of vector addition

D) None of the above

27 / 56

Which unit is used in the measurement of Displacement?

PMC Practice 4
Physics
Scalars and Vectors
Elimination Tool:

A) m

B) m/s

C) 1/s

D) N

28 / 56

Velocity is a:

PMC Practice 3
Physics
Scalars and Vectors
Elimination Tool:

A) Tensor

B) Vector

C) Scalar

D) None of these options is correct

29 / 56

Consider a car is travelling for one hour. Which of the following trips have the same average velocity?

PMC Practice 2
Physics
Scalars and Vectors
Elimination Tool:

A) Car travels 20 km due east and car travels 70 km due east

B) Car travels 40 km due east, then turns around and travels 20 km due west and a car that travels 20 km due east

C) Car travels 70 km due east and a car that travels 40 km due east, then turns around and travels 20 km due west

D) Car travels 30 km due west, then turns around and travels 30 km due east and a car that travels 40 km due east, then turns around and travels 20 km due west

30 / 56

Displacement is a:

PMC Practice 2
Physics
Scalars and Vectors
Elimination Tool:

A) Tensor

B) Vector

C) Scalar

D) None of these options is correct

31 / 56

Consider a car is travelling for one hour. In which of the following cases is the average velocity zero?

PMC Practice 2
Physics
Scalars and Vectors
Elimination Tool:

A) The car travels 20 km due east

B) The car travels 60 km due east, then turns around and travels 40 km due west

C) The car travels 70 km due east

D) The car travels 30 km due west, then turns around and travels 30 km due east

32 / 56

The displacement has __________.

PMC Practice 2
Physics
Scalars and Vectors
Elimination Tool:

A) Magnitude only

B) Direction only

C) Magnitude and direction

D) No unit is required

33 / 56

If a rotating body is moving anti-clockwise, the direction of angular velocity is:

PMC Practice 1
Physics
Scalars and Vectors
Elimination Tool:

A) Towards the centre

B) Along the linear velocity

C) Away from the centre

D) Perpendicular to both radius and linear velocity

34 / 56

Instantaneous velocity is:

PMC Practice 1
Physics
Scalars and Vectors
Elimination Tool:

A) Always positive

B) Always negative

C) Positive and negative

D) Not enough info

35 / 56

Which quantity is a scalar quantity

PMC Sample 3
Physics
Scalars and Vectors
Elimination Tool:

A) angular displacement

B) angular velocity

C) angular acceleration

D) none of these

36 / 56

Work is a

PMC Sample 2
Physics
Scalars and Vectors
Elimination Tool:

A) vector quantity

B) scalar quantity

C) sometime scalar some time vector

D) none of these

37 / 56

Displacement of sun with respect to earth is

PMC Sample 2
Physics
Scalars and Vectors
Elimination Tool:

A) r

B) 2πr

C) 2r

D) r^2

38 / 56

A constant force F= 2i + 3j +4k is applied on a body. What will be the work done to move the body 5m in the z-direction?

PMC Sample 1
Physics
Scalars and Vectors
Elimination Tool:

A) 0

B) 10 J

C) 45 J

D) 20 J

39 / 56

The vector product of two vectors A and B is ____ vectors A and B.

NTS 2019
Physics
Scalars and Vectors
Elimination Tool:

A) Equal to the product of magnitudes of

B) In the plane parallel to

C) Perpendicular to the plane containing

D) Less in magnitude than the product of magnitudes of

40 / 56

The scalar or Dot product of Vectors (3i – 2j + 4k) and (2i + 2j – 3k) is _____.

NTS 2019
Physics
Scalars and Vectors
Elimination Tool:

A) -9

B) -10

C) -11

D) 10

41 / 56

A body will be in translational equilibrium if the vector sum of all the forces acting on it is:

NUMS 2017
Physics
Scalars and Vectors
Elimination Tool:

A) 0

B) Min

C) Max

D) Equal

42 / 56

A vector in space has _____ dimension:

NUMS 2017
Physics
Scalars and Vectors
Elimination Tool:

A) 0

B) 1

C) 2

D) 3

43 / 56

If ‘0.8 i + 0.5 j + ck’ represents a unit vector, the value of ‘c’ is:

NUMS 2019 Cancelled
Physics
Scalars and Vectors
Elimination Tool:

B) √0.66

C) 1

D) 0.2

E) √0.11

44 / 56

If the unit vectors i, j, k are perpendicular to each other therefore

i.i = j.j = k.k = ______.

I.j = j.k = k.i = ______.

NTS 2016 SMBBMC
Physics
Scalars and Vectors
Elimination Tool:

A) 0 … 1

B) 1 … 0

C) 0 …. 0

D) 1 …. 1

45 / 56

If A = B + C and A, B, C have scalar magnitudes of 5, 4, 3 units respectively then the angle between vector A and Vector C is:

NUMS 2014
Physics
Scalars and Vectors
Elimination Tool:

A) Cos-1 (3/5)

B) cos-1 (4/5)

C) 3.14/2

D) Sin-1 (3/4)

46 / 56

Which pair includes a vector quantity and a scalar quantity respectively?

NTS 2017
Physics
Scalars and Vectors
Elimination Tool:

A) Power, speed

B) Work, potential energy

C) Displacement, acceleration

D) Force, kinetic energy

47 / 56

The resultant of two forces has magnitude of 20N . if one of the forces is of magnitude 20√3 N and makes an angle of 30o with the resultant then, the other forces must be of magnitude:

NTS 2015 DUHS and JSMU
Physics
Scalars and Vectors
Elimination Tool:

A) 10√3 N

B) 20 N

C) 20√3 N

D) 10 N

48 / 56

Two vectors S and R are such that S= 4, R= 6 and S.R= 13.5. Find the angle between S and R.

NTS 2015 SMBBMC
Physics
Scalars and Vectors
Elimination Tool:

A) 11.77

B) 22.99

C) 55.77

D) 77.81

49 / 56

Evaluate the scalar product of the following: k.( i + j) ?

NTS 2015 SMBBMC
Physics
Scalars and Vectors
Elimination Tool:

A) 0

B) 45

C) 90

D) 180

50 / 56

What is the projection of E = 2i-3j+6k onto the direction of vector F=i+2j+2k.

NTS 2016 DUHS & JSMU
Physics
Scalars and Vectors
Elimination Tool:

A) 1/2

B) 8/9

C) 3/5

D) 5/7

51 / 56

The scalar product of (2i – j + 3k) . (31 + 2j – k) i?

NTS 2014
Physics
Scalars and Vectors
Elimination Tool:

A) 1

B) 2

C) 10

D) 20

52 / 56

Find the work done in moving an object along a straight line from (3,2,−1) to (2,−1,4) in a force field given by F=4i^−3j^+2k^.

NTS 2013
Physics
Scalars and Vectors
Elimination Tool:

A) 10 units

B) 12 units

C) 15 units

D) 17 units

53 / 56

R1 and R2 are two-position vectors making angles θ1 and θ2 with positive X-axis respectively. Their vector product is:

[R1 = 4 cm, R2 = 3 cm , e1 = 30 degrees , e2 = 90 ]

NTS 2011
Physics
Scalars and Vectors
Elimination Tool:

A) 12√3

B) 6√3

C) 6√12

D) 12√6

54 / 56

All of the following is/are scalar quantities except:

NTS 2011
Physics
Scalars and Vectors
Elimination Tool:

A) temperature

B) density

C) volume

D) force

55 / 56

A vector such as the velocity of a body undergoing uniform translational motion, which can be displaced parallel to itself and applied to any point is known as:

NTS 2010
Physics
Scalars and Vectors
Elimination Tool:

A) Unit vector

B) Free vector

C) Null vector

D) Position vector

56 / 56

A particle moves from position r = 3i+2j-6k to r = 14i+13j+9k under the action of a Force F = 8i+2j+6k. Find the work done
by the force:

NTS 2010
Physics
Scalars and Vectors
Elimination Tool:

B) 75 units

C) 125 units

D) 155 units

E) 200 units

Your score is

The average score is 54%

Importance of Vectors and Equilibrium in Competitive Physics

A clear understanding of Vectors and Equilibrium helps students solve force-related problems and analyze physical systems accurately. Moreover, it enables students to determine resultant forces, calculate torque, and understand the stability of objects. Topics such as coplanar forces, parallelogram law, triangle law, and conditions for equilibrium often appear in entry tests. By practicing chapter-wise numerical questions, MCQs, and diagrams, students can improve conceptual clarity, accuracy, and exam performance.

Effective Preparation and Practice Resources for Vectors and Equilibrium

To prepare effectively, students should review vector concepts, practice numerical problems, and attempt mock tests regularly. In addition, solving past papers and exam-focused questions helps students identify important areas and frequently tested concepts. PLS Academy provides structured learning resources that allow students to master Vectors and Equilibrium and perform confidently in physics entry tests and FSC First Year board examinations.

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