THE SPARK Institute of Language & Sciences

Physics-I PRACTICE TEST Chapter-02

TEST-01
1. The scalars are completely defined by __________.
(a) magnitude only (b) magnitude with proper units
(c) magnitude and direction (d) direction only
2. Tick the scalar of the following
(a) Torque (b) Force (c) Momentum
(d) Electric flux (e) Electric intensity
3. Tick the following which contains one scalar and two vectors.
(a) Electric flux, voltage, force (b) force, angular momentum, torque
(c) Inertia, work, torque (d) Speed, distance, work
(e) Angular velocity, work, force
4. The scalars are added by
(a) right hand rule (b) law of sine (c) Law of cosine
(d) Simple Arithmatic rule (e) All of these
5. The scalar can be added with each other if;
I. All have same magnitude II. All have same direction
III. All have same units IV. Their magnitude may be same or different.
(a) I, III (b) I, II & III (c) III only (d) I, II, III & IV
6. Any scalar can be __________ with a vector.
(a) added (b) subtracted (c) multiplied (d) All of these
7. The scalars can be
(a) negative (b) positive (c) zero (d) All of these
8. The vectors are completely defined by
(a) magnitude only (b) direction only
(c) magnitude as well as direction (d) Units only
9. The vectors which are free and can be applied at any point parallel to itself in
space are
(a) parallel vectors (b) position vectors (c) free vectors (d) axial vectors
10. The momentum force, acceleration of a moving person are _______ vectors.
(a) Free (b) Position (c) Axial (d) All of these
11. The direction of a vector is given by its ________
(a) Perpendicular vector (b) Position vector
(c) Unit vector (d) All of these
12. The magnitude of a vector A is
(a) A (b) A (c) A (d) All of these
13. The magnitude of a vector is treated as
(a) positive (b) negative (c) either of above (d) zero
14. If vector A is along South then vector  3 A is along ____.
(a) South (b) East (c) West (d) North

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
15. The vector which shows the combined effect of all vectors which are added is
_______ vector.
(a) resultant (b) null (c) parallel (d) unit
16. The vector added with its negative produces ________ vector.
(a) Unit (b) Perpendicular (c) Null (d) Position
17. Any vector A is said to be negative of B if it has;
I. equal magnitude II. Opposite direction III. Same unit
(a) I only (b) I, II (c) I, III
(d) III only (e) I, II & III
18. The magnitude of resultant vector due to vectors addition is given by
(a) law of sine (b) law of tangent
(c) law of cosine (d) law of parallel gram
19. The unit vector of A is expressed as
 
A
(a) a  (b) a  A A
A
 A  1
(c) a  (d) a 
A AA
20. The direction of unit vector is:
(a) parallel to its original vector (b) opposite to its original vector
(c) Perpendicular to its original vector (d) It has no direction
 
21. The magnitude of vector A  3 i  4 j is
(a) 7 units (b) 25 units (c) 5 units
(d) 1 unit (e) 12 units
  
22. The magnitude of vector A  3 i  4 j  c k is 13 units then value of “c” is
(a) 12 (b) –12 (c) 144
(d) 12 (e) 0
23. Tick the vector perpendicular to y-axis
    
(a) 3 i  2 j (b)  2 j  5 j (c) 5 j
    
(d) 2 i  j  k (e)  2 i  3 k
  
24. The vector A  a i  b j  c k lies normal to z-axis then its co-ordinates are;
(a) a = 2; b = 0 ; c = 2 (b) a = 0; b = 5; c = –2
(c) a = –1; b = 2; c = 3 (d) a = 0; b = –10; c = 5
(e) a = –2; b = 8; c = 0

TEST-02

1. The co-ordinates of a position vector are treated as;

(a) scalar (b) vectors (c) either of these (d) None of these

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
   
2. If A  2 i  3 j and B  5 j  k then A  2 B  __________
(a) 71 units (b) 57 units (c) 45 units (d) 39 units
3. The vector addition obeys
(a) commutative law (b) Associative law
(c) Distributive law over multiplication (d) All of these
4. The resultant of addition of two vectors remains same and does not depends
upon order of their vectors addition. It is known as;
(a) Commutative law (b) Associative law (c) Distributive law (d) Law of sine
5. A person moves 4km to east, then he turns to north and covers 8km then he
turns to west and covers 10km. The displacement covered by him is ____
(a) 22km North – east (b) 10 Km South – west
(c) 10km North – west (d) 12km east – South
(e) 8km North – west
6. If three vectors are replaced by three sides of a triangle then their vector sum
will be
(a) zero (b) Non-zero (c) 3A
(d) infinity (e) cannot be added
7. The minimum number of unequal forces that causes resultant as zero can
be____
(a) two (b) three (c) four
(d) infinite (e) any no: of forces
8. Tick the correct for A  C  B

A C C B
A C A C
(a) (b) (c) (d)
B A
B B

9. If A  B  C  R such that A is a force then unit of B, C and R are _____

respectively
(a) N, m, Kg (b) Kg, m, N (c) N, s, Kg (d) Kg, Kg, Kg (e) N, N, N
10. Tick the correct for P  Q  R

P Q
(a) (b) R Q (c) P R (d) P R
P Q
R Q
11. A body moves 6km to East, 10km to West finally 3km to South. The net
displacement covered is ______.
(a) 10km North – West (b) 19km East – North
(c) 5km North – West (d) 25km east – west

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
(e) 5km South – west
12. Tick the axial vector of the following
(a) Torque (b) Force (c) Momentum
(d) Work (e) Impulse
13. Two forces of equal magnitude “F” are making an angle of 60 o with each
other. Their resultant is ________.
(a) 3F (b) F (c) 2F
(d) 3F (e) 2F
14. The resultant of two equal vectors is equal to double of either of vector. The
angle between the vectors is _____
(a) 0o (b) 180o (c) 90o (d) 120o
15. The resultant of two equal vectors is equal to either of vector then angle
between the vectors is _______
o
(a) 0 (b) 180o (c) 120o
(d) 90o (e) 60o
16. The angle between two vectors at which the magnitude to their vectors
addition is equal to that of vectors difference is _______
(a) 0o (b) 180o (c) 120o
o o
(d) 90 (e) 60
17. The sum of magnitude of two vectors is 8 units where – as magnitude of their
resultant is 4 units and is perpendicular to smaller vector. The magnitude of
vectors are _____
(a) 4 units, 4 units (b) 5 units, 3 units (c) 2 units, 6 units
(d) 1 unit, 7 units (e) 10 units, 2 units
18. The resultant of two forces is minimum if vectors are at angle of
(a) 0o (b) 90o (c) 120o
(d) 60o (e) 180o
19. Tick the force which causes the body in equilibrium while executed at an angle
(a) 4N, 2N, 1N (b) 1N, 7N, 9N (c) 11N, 13N, 1N
(d) 8N, 7N, 6N (e) 6N, 10N, 3N
20. Tick the forces that may causes non-zero resultant when acting on a body at
an angle.
(a) 5N, 9N, 4N (b) 12N, 23N, 13N (c) 20N, 15N, 10N
(d) 10N, 10N, 10N (e) 12N, 15N, 2N

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02

TEST-03

1. The vector whose magnitude is 13, and normal to y-axis is _____

   
(a) 13 j (b) 13 k (c) 12 i  5 k (d) Both b & c
   
2. The vector A  3 i  a j  5k and B  15 i  10 j  ck for what value of a and
c vector becomes parallel to each other ________
(a) a = 10, c= 5 (b) a = 2, c = 5 (c) a = 2, c = 25 (d) a = 10, c = 25
3. Vector A is along x-axis and vector B is along y-axis then vector A  B is ____
(a) Normal to xy plane (b) Normal to z-axis
(c) along xy plane (d) Along y-axis (e) both b & c
4. The vector A is in 4th quadrant then ______
(a) Ax = +, Ay = + (b) Ax = –, Ay = + (c) Ax = –, Ay = – (d) Ax = +, Ay = –
5. Which quantity has the same base units as momentum?
(a) Density x Energy (b) Density x Volume x Velocity
(c) Pressure x Area (d) Weight  Area
6. The maximum and minimum resultant of two forces are 13N and 5N then
magnitude of forces is ______
(a) 10N, 3N (b) 7N, 2N (c) 9N, 4N (d) 10N, 15N
7. A man walks 12m straight, then he turns right at 90o and walks 10m then he
turns left at 90o and walks 12m, then his net displacement is _______
(a) 13m (b) 34m (c) 26m (d) 20m
a
8. F = at2 + bt3 then where F is force and t is time then dimension of is_____
b
(a) T–1 (b) T (c)T–2 (d) T–2
9. The unit of luminous intensity is _______
(a) Mole (b) Ampere (c) Kelvin (d) Candela

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
10. If A  3i  6 j  2k , then unit vector parallel to A will be
3i  6 j  2k 3 6 2
(a) (b) i j  k
7 7 7 7
3 6 2 3 6 2
(c) i  j  k (d) i  j  k
7 7 7 5 5 5
11. The magnitude of vector A  6i  3 j  ck is 7, then c can be equal to __
(a) ±2 (b) –6 (c) –2 (d) 3
12. The square of resultant of two equal magnitude force is twice of product of
magnitude of vectors, then angle between vector is ____
(a) 0o (b) 30o (c) 90o (d) 180o
13. Which of the following group contains only vectors:
(a) Force, weight, speed (b) Velocity, time, distance
(c) Displacement, weight, velocity (d) Mass, density, weight
2
14. The momentum of a particle is 5 x 10 gram cm/sec then same in kg.m/sec is __
(a) 5 x 102 (b) 5 x 10–5 (c) 5 x 10–3 (d) 5 x 10–7
15. A vector which can be displaced parallel to itself and applied at any point is
called ________
(a) Unit vector (b) Null vector (c) Free vector (d) Parallel vector
16. A vector which is obtained by adding a vector with its negative vector is
called _______
(a) unit vector (b) Null vector (c) Free vector (d) Parallel vector
17. If A  2i  3 j  k , B  4i  2 j  2k , find a vector X parallel to A, but has
magnitude of B?
12 7
(a) (2i  3 j  k ) (b) (4i  2 j  2k )
7 12
7 3
(c) (2i  3 j  k ) (d) (i  2 j  3k )
12 5
5
(e) (3i  5 j  2k )
12
18. Which of following pair of forces may not produce zero resultant.
(a) 3N, 8N, 10N (b) 10N, 10N, 10N (c) 8N, 5N, 14N (d) 12N, 5N, 15N
 
19. The angle which vector A  6 i  2 3 j makes with x and y-axis are ___
(a) 45o, 45o (b) 30o, 60o (c) 90o, 0o (d) 60o, 30o
20. Which of following pair of forces may produce a resultant of 13N?
(a) 19N, 4N (b) 20N, 5N (c) 7N, 5N (d) 15N, 9N

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02

TEST-04

1. Two forces act together on an object. The magnitude of their resultant is least
when the angle between the forces is:
(a) 0o (b) 45o (c) 90o (d) 180o

2. The vector obtained by adding two or more vectors is called:

(a) Product vector (b) Sum vector
(c) Resultant vector (d) None of them

3. A light thread suspends a small ball of weight ‘w’ a constant force ‘F” is
exerted on the ball horizontally. The thread makes an angle “θ” with vertical.
Which relation defines “θ” correctly?
F F
(a) Sinθ = (b) Cos θ =
w w
w F
(c) Cos θ = (d) Tan θ =
F w

4. Two forces 4N and 6N act at a point. All of the following could be the
magnitude of their resultant except:
(a) 1N (b) 4N (c) 10N (d) 8N

5. Process of splitting a single vector into a number of vectors is called:

(a) Resolution of vectors (b) Composition of vectors
(c) Addition of vectors (d) None of them

6. The angle between rectangular components is:

(a) 0o (b) 45o (c) 90o (d) 180o

7. A vector makes and angle of 45o. Which statement about its components is
true?
(a) Its X-components is greater than Y-component
(b) Its Y-components is greater that X-component.
(c) Its X-component is equal to its Y-component.
(d) The angle between components is 45o

8. A vector of magnitude 10N makes an angle of 60o with + y-axis clockwise.

What is the magnitude of horizontal component?
(a) 5N (b) 8.6N (c) 10N (d) 1N

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
9. The horizontal component of vector is 3 units. While that of y-component is
3 units, the angle which vector makes with + x-axis is:
(a) 30o (b) 45o (c) 60o (d) 90o

10. Two forces 10N and 20N are such that they are making angle of 30o and 60o.
The magnitude of y-component of resultant is:
(a) 5N (b) 8.6N (c) 17.3N (d) 22.32N
11. Two forces each of magnitude “F” act perpendicular to each other. The angle
made by the resultant force with horizontal will be:
(a) 30o (b) 45o (c) 60o (d) 90o
12. Linear momentum is an example of:
(a) Dot product only (b) Cross product only
(c) Dot product as well as cross product.
(d) scalar by a vector multiplication
13. Dot or scalar product can be defined as:
(a) It is product of magnitude of two vector and cosine of the angle
between the vectors.
(b) It is the product of magnitude of one vector and projection part of
other out the direction of first.
(c) When two vectors are multiplied and we get a scalar.
(d) All of them.
14. The dot product of two vectors is zero. What can be concluded from this:
(a) Either of the vector is null vector.
(b) Both vectors are perpendicular to each other.
(c) Both a & b
(d) both are parallel vectors
 
15. i . i = ______________
(a) 1 (b) 0 (c) –1 (d) 2

 
16. i x i = ______________
(a) 0 (b) 1 (c) –1 (d) 2
17. The property A . B = B . A is called:
(a) Commutative property for addition
(b) Commutative property for dot product.
(c) Distribution property for dot product
(d) Associative property for dot product.
18. If dot product of two vectors which are not perpendicular is zero, then either
of the vector is:
(a) Null vector (b) Position vector

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
(c) Free vector (d) Unit vector
19. Dot product obeys:
(a) Commutative law (b) Distributive law
(c) Both a & b (d) Neither a nor b
      

20.  3 i  j  .  i  4 j  2 k  = ____________
   
(a) 5 (b) 7 (c) 9 (d) 10

21. 200J of work is done on the body when force of 40N is applied on it. How
much distance does the body cover? Assume body displaces in the direction of
force.
(a) 500 cm (b) 5 cm (c) 5000 cm (d) 0.5 cm

22. Dot product of two vectors of magnitude 3 units and 4 units is -6. What is the
angle between the vectors?
(a) 30o (b) 45o (c) 90o (d) 120o
23. When two vectors are multiplied and result a vector, such type of
multiplication of vectors is called?
(a) Dot product (b) Scalar product
(c) Cross product (d) All of them
24. Cross product of two vectors gives a new vector. The direction of tis vector is
determined by:
(a) Head – to – tail rule (b) Fleming’s right hand rule
(c) Right hand grip rule (d) Left hand grip rule
25. If A . B = 0 also A x B =0 then which of the following is true?
(a) Both vectors are parallel (b) Both vectors are perpendicular
(c) Either of the vector is null vector (d) Both b & c
26. Which of the following quantities must be perpendicular to each other is the

equation F =q V x B ? 
(a) Q and B (b) F and V
(c) F and B (d) Both B & C
27. The magnitude of cross product of two vectors can be represented by:
(a) law of triangle (b) law of cosines
(c) head to tail rule (d) Area of parallelogram

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02

TEST-05

1. Cross product of two vectors obeys:

(a) Commutative law (b) Distributive law
(c) Both a & b (d) Neither A nor B

2. R1 and R2 are two position vectors having magnitude 3 cm and 4 cm make

angle of 30o and 90o with +ve x-axis respectively. What is the magnitude of
their vector product?
(a) 3 6 cm2 (b) 6 cm2 (c) 6 3 cm2 (d) 3 cm2

 
3. j x i = ______________
   
(a) i (b) -i (c) k (d) -k

  
4. Unit vector parallel to a vector A = i –2 j + k is:
     
1 2 1 1 2 1
(a) i– j + k (b) – i+ j – k
6 6 6 6 6 6
1  2  1  1 
2 1  
(c) – i– j + k (d) – i– j – k
6 6 6 6 6 6

 
5. The angles α and β which the vector i + 3 j makes with +ve X and Y-axis is
respectively are:
(a) 60o, 30o (b) 30o, 60o (c) 45o, 45o (d) 0o, 90o

6. Magnitude of cross product of two vectors is 3 while that of dot product is 3 .

What is the angle between two vectors?
(a) 30o (b) 45o (c) 60o (d) 90o

7. When two equal forces each of F making an angle of 180o with each other the
magnitude of their resultant is:
(a) F b, 2F (c) F/2 (d) 0

8. Electric current is:

(a) Vector quantity (b) Scalar quantity
(c) not a physical quantity (d) Dimensionless quantity

9. The sine of an angle is positive in ___________ quadrant

(a) 1st and 2nd (b) 2nd and 4th (c) 1st and 3rd (d) 3rd and 4th

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02

 
10. The angle of a vector A = –A x i + A y j with X-axis will be in between
(a) 90o and 180o (b) 60o and 120o
(c) 180o and 270o (d) 0o and 90o

11. If x components of a force is 10.0N while it makes an angle of 60o with the
horizontal, the magnitude of the force is:
(a) 7.1 N (b) 14.1 N (c) 17.3 N (d) 20N

12. If three vectors A , B and C are 12, 5 and 13 in magnitude such that C = A +
B then the angle between A and B is
(a) 60o (b) 90o (c) 120o (d) 180o

13. The vector product of two equal vector at 0o is equal to:

(a) A null vector (b) Unit vector
(c) Position vector (d) Free factor

14. Two vectors A and B are such that I A . B I = I A x B I the angle between them
is:
(a) 90o (b) 45o (c) 60o (d) 120o

15. A is parallel to B then A . B = __________

(a) Zero (b) AB (c) –AB (d) A
B

16. The vector of magnitude 3 and 4 units are such placed that their resultant
vector is 5, the angle between them is:
(a) 0o (b) 30o (c) 90o (d) 120o

17. Two forces act at right angles at a point “0” as shown:

P Q

What is the resultant of the forces?

Magnitude Direction
(a) 15 N OQ
(b) 15 N PR

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
(c) 21 N OQ
(d) 21 N PR

  
18. The position vector of a particle is given by r = 3t2 i + 4t2 j + 7 k . Find the
displacement after 10 Sec:
(a) 500 m (b) 650 m (c) 350 m (d) 400 m

19. As angle between the two vectors increases from 0o to 180o their resultant:
(a) Increases (b) Decreases (c) Remains same (d) N.O.T

20. Two vectors having magnitude 3cm and 10cm making angles of 120o and 150o
with x-axis. Find their cross product?
(a) 30cm2 (b) 15cm2 (c) –15cm2 (d) –30cm2

  
21. If A = 32 i + 16 j – 4 k then its unit vector is
8i  4 j  k 8i  4 j  k
(a) (b)
3 3
32i  16 j  4k 8i  4 j  k
(c) (d)
9 9

22. For what value of q the dot product of 4i –j + qk and i – j + k will be zero:
(a) –1 (b) –4 (c) –5 (d) 5


23. The projection of i – 2j onto the direction of k is:
(a) 0 (b) 1 (c) –1 (d) 2
24. The projection of i – 2j onto the direction of y axis is:
(a) 0 (b) 1 (c) –1 (d) -2

ANSWER KEY (TEST 01)

1 B 6 C 11 C 16 C 21 C
2 D 7 D 12 D 17 E 22 D
3 E 8 C 13 A 18 C 23 E
4 D 9 C 14 D 19 C 24 E
5 D 10 A 15 A 20 A

ANSWER KEY (TEST 02)

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
1 A 5 C 9 E 13 D 17 B
2 B 6 A 10 D 14 A 18 E
3 D 7 B 11 E 15 C 19 D
4 A 8 A 12 A 16 D 20 E

ANSWER KEY (TEST 03)

1 D 11 A
2 C 12 C
3 E 13 C
4 D 14 C
5 B 15 C
6 C 16 B
7 C 17 A
8 B 18 C
9 D 19 B
10 B 20 D

ANSWER KEY (TEST 04)

1 D 11 B 21 A
2 C 12 D 22 D
3 B 13 D 23 C
4 A 14 C 24 C
5 A 15 A 25 C
6 C 16 A 26 D
7 C 17 B 27 D
8 B 18 A
9 A 19 C
10 D 20 B

ANSWER KEY (TEST 05)

1 B 11 D 21 C
2 C 12 B 22 C
3 D 13 A 23 A
4 A 14 B 24 D
5 A 15 B

MDCAT 2023
THE SPARK Institute of Language & Sciences
Physics-I PRACTICE TEST Chapter-02
6 C 16 C
7 D 17 A
8 B 18 A
9 A 19 B
10 A 20 B

MDCAT 2023