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VECTOR & EQUILIBRIUM



SCALAR & VECTOR

Physics
Test-1
1. A vector is described by magnitude as well as:  
a)   Angle     
b)   Distance  
c)   Direction     
d)   Height

2. Addition, subtraction and multiplication of scalars is done by:  
a)   Algebraic principles    
b)   Simple arithmetical rules  
c)   Logical methods    
d)   Vector algebra

3. The direction of a vector in a plane is measured with respect to two straight lines which are _______  to each other.  
a)   Parallel     
b)   Perpendicular  
c)   At an angle of 60o    
d)   Equal

4. A unit vector is obtained by dividing the given vector by:  
a)   its magnitude     
b)   its angle  
c)   Another vector    
d)   Ten

5. Unit vector along the three mutually perpendicular axes x, y and z are denoted by:  
a)   a, b, c     
b)   p, q,  r  
c)   i, j, k     
d)   x, y, z

6. Negative of a vector has direction _______ that of the original vector.  
a)   Same as     
b)   Perpendicular to  
c)   Opposite to     
d)   Inclined to

7. There are _______ methods of adding two or more vectors.  
a)   Two      
b)   Three  
c)   Four      
d)   Five

8. The vector obtained by adding two or more vectors is called:  
a)   Product vector    
b)   Sum vector  
c)   Resultant vector    
d)   Final vector

9. Vectors are added according to:  
a)   Left hand rule     
b)   Right hand rule  
c)   Head to tail rule    
d)   None of the above

10. In two-dimensional coordinate system, the components of the origin are taken as:  
a)   (1, 1)     
b)   (1, 0)  
c)   (0, 1)     
d)   (0, 0)

11. The resultant of two or more vectors is obtained by:  
a)   Joining the tail of the first vector with the head of the last vector.  
b)   Joining the head of the first vector with the tail of the last vector.  
c)   Joining the tail of the last vector with the head of the first vector.  
d)   Joining the head of the last vector with the tail of the first vector.

12. The position vector of a point p is a vector that represents its position with respect to:  
a)   Another vector    
b)   Center of the earth  
c)   Any point in space    
d)   Origin of the coordinate system

13. To subtract a given vector from another, its _______ vector is added to the other one.  
a)   Double     
b)   Half  
c)   Negative     
d)   Positive

14. If a vector is denoted by A then its x-components can be 
written as:  
a)   A sinθi       
b)   A sinθj    
c)   A cos θi       
d)   A cos θj

15. The direction of a vector  can be fond by the formula:  
a)    Î¸= tan-1 (Fy/Fx)    
b)   Î¸ = sin-1 (Fx/Fy)  
c)   Î¸ = sin-1 (Fy/Fx)    
d)   Î¸ = tan-1 (Fx/Fy)

16.The sum of two vectors equal in magnitude but opposite in direction is  
a)   Less than the individual vectors   
b)   Greater than the individual vectors  
c)   Equal to the individual vector   
d)   Zero

17. The sine of an angle is positive in _______ quadrants.  
a)   First and Second    
b)   Second and fourth 
c)   First and third     
d)   Third and fourth

18. The cosine of an angle is negative in _______ quadrants.  
a)   Second and fourth    
b)   Second and third  
c)   First and third     
d)   None of the above

19. The tangent of an angle is positive in _______ quadrants.  
a)   First and last     
b)   First only  
c)   Second and fourth    
d)   First and third

20. If the x-component of the resultant of two vectors is 
positive and its y-component is negative, the  resultant 
subtends an angle of _______ on x-axes.  
a)   360o -  Î¸     
b)   180o θ  
c)   180o + Î¸     
d)   Î¸

21. Scalar product is obtained when:  
a)   A scalar is multiplied by a scalar  
b)   A scalar is multiplied by vector  
c)   Two vectors are multiplied to give a scalar 
d)   Sum of two scalars is taken

22. The scalar product of two vectors A and B is written as:  
a)   A x B   
b)   A. B  
c)   AB(vector)     
d)   AB(magnitude)

23. The scalar product of two vectors F and V with magnitude of 
F and V is given by:  
a)   FV sinθ       
b)   FV tanθ    
c)   F/V cosθ       
d)   FV cosθ  

24.  The magnitude of product vector Ci.e. A x B=C, is equal to 
the:  
a)   Sum of the adjacent sides   
b)   Area of the parallelogram  
c)   Product of the four sides   
d)   Parameter of the parallelogram

25. Work is defined as:  
a)   Scalar product of force and displacement  
b)   Vector product of force and displacement  
c)   Scalar product of force and velocity  
d)   Vector product of force and velocity

26. The scalar product of a vector A is given by:  
a)   A cosθ       
b)   A sinθ    
c)   A tanθ       
d)   None of the above

27. If two vectors are perpendicular to each other, their dot 
product is:  
a)   Product of their magnitude   
b)   Product of their x-components  
c)   Zero      
d)   One

28. If  i, j,  k are unit vectors along x, y and z-axes then i.j = j.k =
 k.i= ?  
a)   1      
b)   -1  
c)   -1/2        
d)   0

29. i.i = j.j = k.k =  _______  
a)   0      
b)   1  
c)   -1      
d)   1/2

30. If  dot product of two vectors which are not perpendicular 
to each other is zero, then either of the  vectors is:  
a)   A unit vector     
b)   Opposite to the other  
c)   A null vector     
d)   Position vector

32. In the vector product of two vectors A & B the direction of the product vector is:  
a)   Perpendicular to A    
b)   Parallel to B   
c)   Perpendicular to B    
d)   Perpendicular to the plane joining both  A&B

33.The position vector of a point p is a vector that represents its position with respect to  

a)   Another vector    
b)   Centre of the earth  
c)   Any point in space    
d)   Origin of the coordinate system



34. The magnitude of vector product of two vectors A & B is 
given by:  
a)   AB sinθ      
b)   AB  
c)   AB cosθ      
d)   AB tanθ 

35. If  i, j,  k are unit vectors along x, y and z-axes then k x j = _______  
a)   i    
b)   j  
c)  -k      
d)  -i

36. ix i = jxj = kx k =  _______  
a)   0      
b)   1  
c)   -1      
d)   1/2

37. k x i =  _______  
a)   j      
b)   -j  
c)   k      
d)   -k

38. The torque is given by the formula:  
a)   T = r . F     
b)   T =r x F  
c)   T =F x r     
d)   T =-F x r

39. The force on a particle with charge q and velocity in a magnet-
ic field B is given by:  
a)    q (V x B)     
 b)  -q (V x B)  
 c)   1/q (V x B)     
 d)   1/q (Bx V)

40. The scalar quantities are described by their magnitude and _______  
a)   Direction     
b)   Proper unit  
c)   With graph     
d)   None of these

41. The vector quantities are described by their magnitude as 
well as _______  
a)   Distance     
b)   Direction  
c)   Speed     
d)   Acceleration

42.The vector quantity which is defined as the displacement 

of the particle during a time interval  divided by that time 
interval is called  
a)   Speed     
b)   Average speed  
c)   Average velocity    
d)   None of these

43. Speed is a _______ quantity.  
a)   Vector     
b)   Scalar  
c)   Negative     
d)   Null

44. A vector B in 4th quadrant than:   
a)   Its x-component is -ve and its y-component is +ve  
b)   Its x-component is +ve and its y-component is +ve  
c)   Its x-component is +ve and its y-component is -ve  
d)   Its x-component is -ve and its y-component is -ve

45.The components of a vector behave like:  
a)   Vector quantities    
b)   Scalar quantities  
c)   Magnitudes     
d)   Directions

46.If a vector A lies in xy-plane and it makes an angle ‘θ’ with 
the side of y-axis. Then its y-component  is:  
a)   Ay = A Cosθ    
b)   Ay = A Secθ  
c)   Ay = A Sinθ     
d)   Ay = A Tanθ

47. The module is another name of _______ of the vector.  
a)   Magnitude     
b)   Null   
c)   Zero      
d)   None of these

48. The magnitude of a vector C is represented as _______.  
a)   lCl      
b)   C  
c)   C/lCl      
d)   None of these

49. The vector whose magnitude is equal to one is called _______.  
a)   Unit vector     
b)   Null vector  
c)   Zero vector     
d)   Positive vector

50. The unit vector of  z is represented as:  
a)   lzl      
b)   lzl/z  
c)   Z      
d)   None of these

51. The formula of unit vector is defined as_______.  
a)   Dividing the vector by its magnitude  
b)   Dividing the magnitude by its vector  
c)   Draw a cap on it    
d)   None of these

52. Along the three mutually perpendicular axes x, y and z, 
the unit vectors are denoted by:  
a)   i, j,  k     
b)   -i, -j,  k  
c)   i, j, k     
d)   None of these

53. In negative of a vector, a vector has same magnitude 
but _______ direction.  
a)   Positive     
b)   Negative  
c)   Opposite     
d)   None of these

54. The negative of vector C is represented as:  
a)   -C      
b)   -lCl  
c)   lCl/3      
d)   None of these

55. The null-vector has _______ magnitude.  
a)   Four      
b)   Five  
c)   Zero      
d)   Six

56. If we multiply vector A by 14, then we can write it as:  
a)   14 lAl     
b)   lAl/14  
c)   14/lAl      
d)   None of these

57.The process by which a vector can be reconstituted from its components is known as:  
a)   Principle of parallelogram   
b)   Division of vectors  
c)   Composition of vectors   
d)   Factorization of vectors

58. If we multiply vector A by -1, then its direction changes by _______.  
a)   90o      
b)   160o  
c)   270o      
d)   180o

59.  A. B = B. A = _______.  
a)   AB Cosθ         
b)   AB Sinθ      
c)   AB      
d)   AB Tanθ    

60. Symbol “E” is known as _______.  
a)   Pi      
b)   Resultant  
c)   Power     
d)   Summation

CORRECT ANSWER



Question
Answers
Question
Answers
Question
Answers
1.
C
11
A
21
C
2.
A
12
D
22
B
3
B
13
C
23
D
4
A
14
C
24
B
5
C
15
A
25
A
6
C
16
D
26
D
7
A
17
A
27
C
8
C
18
B
28
D
9
C
19
D
29
B
10
D
20
A
30
C
Question
Answers
Question
Answers
Question
Answers
31.
D
41
51
A
32.
A
42
52
B
33
43
 B
53
C
34
A
44
 C
54
A
35
D
45

55
C
36
A
46
C
56
D
37
A
47
A
57
D
38
C
48
B
58
D
39
A
49
A
59
A
40
B
50
C
60
D

Dr Shoab Khan (LECTURER AT EME NUST)


By Dr Shoab Khan (LECTURER AT EME 

NUST)

Fighting perception while choosing a career or a job


You ask a five years old child about his choice of profession, “I want to be a teacher” is the most probable answer you may get from the kid. Though a teacher in a kindergarten or prep is usually a lady with ordinary education and skills but she is the child’s first direct exposure to a profession. He must be impressed by observing that his teacher knows everything, she is so caring and all the children love her. But as the child grows older and interacts with more people, plays video games, watches cartoons and movies, his choice of profession also changes. You will find all kinds of variations in the answers to the same question as his perception about profession is continuously changing. A child may want to be a Superman, a Tarzan, a firefighter, a spy agent, a pilot or any other exciting character in his imagination. And then finally he grows to an age where the time comes for him to actually choose a profession. Even at this age, it is difficult for him and more importantly for his parents to fight the perception and make a good choice of profession for their child.

In our country, no one explores hidden talent in an individual rather the selection of profession is not what you want to be rather it is what is forced on you by the society in general and the people around you in particular. The selection is out of a prioritized list of careers that are all based on perception.  The higher you make in the merit in that list, the significant is self and family pride.  The perception plays a key role in shuffling of priorities in the list. This perception keeps driving an individual life even once he graduates and accepts a job. I still remember one of my friends who graduated with distinction from the civil engineering department of UET Lahore. He jointed Irrigation Dept because his father served the department in lower ranks and always wanted his son to become an officer in higher ranks in the same department. I have seen many parents spoiling the life of their sons and daughters, in all sincerity, by forcing on them their limited vision and distorted perception. This sometime is driven by their unfulfilled desires. Many a times, a Junior Commissioned Officer or an OR would like his son to be an officer, as he wants people like him to solute him.
In our country most people want their sons to become engineers or doctors. Usually for the daughters they settle for a bachelor or master degree in any discipline.  Only if the girl passionately wants to become a doctor or an engineer, the parents in many cases respect her choice and support her education. In my eleven years of experience in heading engineering organizations and teaching engineering students, I have come across some of the very best female engineers. They would take challenges, excel in academics and work diligently in professional settings.  But then luck on their side, they get married and, in most of the cases, leave the profession they so passionately shrived for. Perception plays a key role in this decision as well. They are made to believe that their family is more important than their profession, so they happily give away what is less important in their life.  They only work if the family direly needs additional financial support. There are very few who continue for their passion and love of profession.  

So the parents keep this perception in mind that limits ultimate utilization of education for their daughters to just few years of professional service once they are not married or in case of any eventuality they can support their family.  For this reason the parents are more considerate in selection of degrees and careers for their daughters but for their sons, they would rather not compromise. They always try to get them in the best engineering program as per the prevailing perception. The other day I was discussing this issue of perception with Dr Shahab Baqi, a friend and Dean of LUMS, and my senior and well wisher Dr Arshad Ali DG SEECS. Dr Baqi pointed out that he has been countering parents’ perception about LUMS computer science program. Parents, if given an option of engineering, hesitate to opt for a CS degree for their child, whereas I personally believe that, depending on student aptitude, a CS degree from a good school is far better than completing an EE degree from a second ranked university or even from a top ranked university in Pakistan. I am a member of National Computing and Accreditation Council, and I visit universities to conduct accreditation of computing programs offered by these universities. In many visits Dr Jamil, the dean of Iqra University Islamabad, has accompanied me. He would always ask students why they have selected a CS degree program. Though in many cases, they don’t even answer other simple questions as well but the students are usually confused on this question. The most common answer is that they think after graduation they will get good jobs. Once we were evaluating an institution that offer multiple  computer science related programs, Dr Jamil asked the same questions to a class of software engineering students that why have they selected Software Engineering and not computer science, and no one gave him a satisfactory answer. I knowing the answer, found myself compelled to respond and pointed out that they all want to become engineers and the entire class nodded their heads in agreement. Again perception comes into play as the merit of software engineering program in that university is at the top whereas I honestly believe a bachelor degree in computer science in far better than a software engineering degree.  

The perception also derails our intelligent minds. Very talented students after their outstanding performance in engineering would enthusiastically join multinational companies who are only service providers and do not develop any technology. The engineers get a little more salary, they are dress up like sales representatives and work in nice office environments. And for this little glitter they do not hesitate to sacrifice all their passion.  They let go other opportunities where they are getting positions to  exercise and profound their engineering skills. The skills that would ultimately help them to win a funded place in a research group in a top ranked university. 

I always tell students, that life is like an optimization problem and greedy algorithms would always trap them in local maxima for rest of their life and they would never find out what all they have actually missed. They need to know the talent Allah has bestowed in them but to my dismay most of them follow the prevailing perception and do the wrong.
I have seen very few, who would plan their career. They fight perception and work for what they like to achieve in their life.

One day one of our best graduates from EE came to visit me. She very hesitantly asked me to sign her recommendation letter. She told me that I would not be happy to listen to her choice of the master degree she was going to pursue. Once she reviled, I was so glad to know that she was opting for a degree in clinical psychology as she always wanted to be that but perception made her to complete a degree in EE.

It is important for our young and intelligent minds to understand that they can do wonders if they pursue professions of their liking. Those who are good engineers, whole world is waiting for them to strive, win positions, make contributions and earn money. Play life as a five days cricket match rather than a 20-20 match. Slowly but surely build your inning. You can do very best if you align you natural talent with the choice of your profession. Let us defeat the perception and explore ourselves to be what we are destined to and follow Iqbal’s advice

"Khodi ko kar buland itna ka har taqdeer sa pahla
Khda banda sa khod pocha bata teri raza kiya ha."

INTRODUCTION TO PHYSICS(TEST-3)



INTRODUCTION TO PHYSICS

PHYSICS

TEST-3


91. The special theory of relativity was published 1905 by 
a)   Lorentz     
b)   Schrodinger  
c)   Einstein     
d)   Max Plank


92. Which one of the following is not a fundamental unit? 
a) Meter2     
b) Meter  
c) Kelvin   
d) Ampere


93. The SI system of units comprises 
a)   Three basic units    
b)   Five basic units  
c)   Six basic units    
d)   Seven basic units


94. ML-1T0 is the dimensional representation of 
a)   Weight density    
b)   Linear mass density  
c)   Volume mass density    
d)   Surface density


95. Which of the following quantities have the same dimensions:  
I)   Power  II)   Energy  III) Torque  
a)   I and II     
b)   I and III  
c)   II and III     
d)   I, II and III


96. Pinhole camera was invented by 
a)   Al-Beruni     
b)   Yaqoob Al-Kindi  
c)   Ibn-Al-Haitham    
d)   Al-Khwarizmi


97. Physics is one of the branches of 
a)   Life sciences     
b)   Physical sciences  
c)   Biological sciences    
d)   Social sciences


98. The famous mathematician and founder of Algebra was 
a)   Al Kindi     
b)   Al Khwarizmi  
c)   Al Beruni     
d)   Naseruddin Tusi


99. Zero is significant only if it 
a)   Lies to the left of the significant digit  
b)   Is between two digits  
c)   Is to the right of a significant digit  
d)   Is before the decimal point


100. A second is defined as the duration of vibration of 
a)   Carbon atom     
b)   Cesium atom  
c)   Radium atom     
d)   Nitrogen atom


101. Physics is a quantitative science based primarily on 
a)   Definition     
b)   Fundamental quantities  
c)  Experiment and Measurement   
d)  a collection of skills


102. The most basic branch “Mechanics” of physics deals with the 
a)   Gravitational, electromagnetic and nuclear fields 
b) Acoustics  
c) Motion of particles under forces  
d)   Optics


103. The nuclear physics is concerned with the study of the properties of _______ 
a)   Atoms     
b)   Molecules  
c)   Electrons     
d)   Matter

104. It is concerned with the application of modern physics to the astronomical phenomena 
a)   Astrophysics     
b)   Plasma Physics  
c)   Biophysics     
d)   Electromagnetism


105. It is one of the oldest and most highly organized of all the present sciences 
a)   Physics     
b)   Chemistry  
c)   Biology     
d)   Astronomy


106. The progress of Muslims in the field of science is appreciable in the period 
a)   3000 BC to 600 AD    
b)   1500 AD to 1700 AD  
c)   600 AD to 1500 AD   
d) 1700 AD to 1890 AD


107. Which of the following periods is called the period of classical physics 
a)   3000 BC to 600 AD    
b)   1500 AD to 1700 AD  
c) 600 AD to 1500 AD    
d) 1700 AD to 1890 AD


108. Historical records show that the Ancient Babylonians and Egyptians as early as 3000 BC were  familiar with some of the fundamental principles of 
a)   Mathematics     
b)   Physics  
c)   Chemistry     
d)   Biology


109. The Muslim scientist who wrote a number of books on Algebra, Astronomy and Arithmetic was 
a)   Abu Abdul Muhammad Ibn-Jabir-Al-Battani 
b)  Ibn-Al-Haitham  
c)   Jabir Bin Hayyan    
d)   Al-Khwarizmi


110. From approximately 700 BC to 150 AD very definite advances in physics were made by the  
a)   Arabs     
b)   Egyptians  
c)   Greeks     
d)   Romans

111. Who established the fundamental ideas of modern celestial mechanics based upon observations?  
a)   Kepler     
b)   Galelio  
c)   Gilbert      
d)   Both a & b


112. Pythogoras added a lot in 
a)   Mathematics     
b)   Physics  
c)   Botany     
d)   Trigonometry


113. Who enriched the heritage of science with number and decimal system? 
a)   Indians     
b)   Chinese  
c)   Arabs      
d)   Egyptians


114. Who added precious knowledge of Astronomy to Science? 
a)   Euclid     
b)   Potolmey  
c)   Thales     
d)   Archimedes


115. Who improved upon the calculations of the orbits of the Moon and certain planets? 
a)   Al-Beruni     
b)   Abu Abdullah Muhammad Ibn Jabir Al-Battani  
c)   Al-Khawrizimi    
d)   Jabir Bin Hayyan


116. Omar Khayyam was expert in 
a)   Physics     
b)   Chemistry  
c)   Mathematics     
d)   None of the above


117. If length = 0.233m and width 0.178m, the most accurate area expressed in terms of significant  figures is 
a)   0.0391m2     
b)   0.041563 m2  
c)   0.041474 m2     
d)   0.041 m2


118. Physics can be defined as the study of 
a)   Chemical properties of matter   
b)   Physical properties of matter  
c)   Relation between matter and energy  
d)   Both b & c


119. Prior to 1900 AD physics comprised of  
a)   Mechanics, Sound, Light, Heat, Magnetism and Electricity  
b)   Sound, Light, Nuclear physics, heat, Plasma physics and Mechanics  
c)   Astrophysics, light, heat, magnetism, electricity and sound  
d)   All of these


120. Physics can be defined as a branch of science based on 
a)   Observation and analysis of facts  
b)   Experimental observation and quantitative measurement  
c)   Mathematical calculation and interpretation 
d)   Replication and verification of known facts




CORRECT ANSWER


Question
Answers
Question
Answers
Question
Answers
91.
C
101
C
111
D
92.
A
102
C
112
B
93
D
103
A
113
A
94
B
      104
A
114
B
95
C
105
A
115
B
96
C
106
C
116
C
97
D
107
D
117
C
98
B
108
B
118
D
99
B
109
D
119
A
100
B
110
C
120
B


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