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Chapter 1
The Scope of Physics
Chapter 2
Scalars and Vectors
Chapter 3
Motion
Chapter 4
Motion in Two Dimensions
Chapter 5
Torque, Angular, Momentum and Equilibrium
Chapter 6
Gravitation
Chapter 7
Work, Energy and Power
Chapter 8
Wave, Motion and Sound
Chapter 9
Nature of Light
Chapter 10
Geometrical Optics
1-16
17-49
50-84
85-117
118-138
139-160
161-185
186-249
250-282
283-318
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| The Scope of Physics
Science
The experimental investigation and theoretical explanation of natural phenomenon is named as
“Science”.
The subject of science is classified into two main branches.
Main Branches of Science:
i Physical sciences,
ii... Biological sciences,
Physical Sciences:
Physical sclences deal with the properties and behavior of non-living things,
The main branches of physical sciences are;
1, Physics fi, Chemistry ili. Geology etc.
Biological Sciences:
Biological sciences deal with the living things.
The main branches of biological sciences are:
i, Zoology ii. Botany .. iil, Physiology etc,
Definition of Physics:
The branch of physical sciences which deals with the study about “Matter” and “Energy” and
also interaction between them is called “PHYSICS”. Itis based on experimental observations
and quantitative measurements.
Branches of Physics:
Following are some important branches of physics;
i) Mechanics li)Electricity iii)Magnetism iv)Electramagnetism vjAtomic and Molecular
physics vi)Nuclear physics vii)Particle physics vili)Solid State physics ix)Electronics xil)Plasma
Physics x)Astro physics xii)Thermodynamics xiijSpectroscopy xiii) Optics and many mare.
tions of Muslim Scies
Contributions of Abu Ali Hassan Ibn-Al-Haitham:
1) He gave two laws of reflection of light.
2) He described the nature of light and declares it as a form of energy and gave the formal
definition of ray of light.
3) He constructed pin hole camera and managed it ta obtain the images of salar Eclipse,
4) He described the formation of image using spherical mirrors.
5). He wrote @ book “kitab-ul-manazir”, which is the first baok on optics.
Contributions of Yaqub Ibne Ishag-Alkindi:
1) He discussed the nature of sound.
2) He discovered the method to express the notes of music in terms of frequencies.
3) He produced several research monographs on meteorology, specific gravity and on tides.
4) He worked in geometrical optics.
5) He explained clearly the idea that gold cannot be made from other metals.
6) He wrate many books on mathematics, astronomy, medicine and other subjects.
,
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Contributions of Abu Rehan Muhammad Bin Ahmed Al-Beruni:
1) He practically proved that earth is round and not flat.
2) He measured the circumference of earth.
3} He discussed the movement of the sun, the moon and the other planets and also the phases
of moon.
4) He gave the method of determining the Longitude and Latitude of a place.
5) He found densities of various metals.
6) His famous book “kitab-ul-Qanoon-ul-Masood'” is considered as Encyclopedia of
Astronomy.
Contributions of Al-Khawarizmi:
1) He was founder of analytical algebra.
2) His famous book “Hisab-ul-Jubr-wal-Mugabla” is the first book on algebra.
3) He invented the term Logarithm (Algorithm).
Contributions of Omer Khayyam:
1) He is a mathematician.
2) He is the only man who was both a poet and a mathematician,
Contributions of Al-Razi:
1) He was the most prominent and greatest physician.
2) He wrote about 200 original monographs, half of which pertained to medicine.
Contributions of Ibne-Sina:
1) He was famous for his original research in the field of medicine.
2) He discovered the use of catheters.
3) He gave intravenous injections by means of a silver syringe.
4) He wrote medical text book “Al-Qanon-Fit-Tib”.
5) He wrote “Al-Shifa” an encyclopedia of philosophy.
Contributions of Dr. Abdus Salam:
1) He presented “Grand Unification Theory (GUT)" in which he was united the properties
of Gravitational, electromagnetic and nuclear fields.
2) He expressed the characteristics of Gravitation, Electramagnetism and Nuclear Physics
with one set of equations.
3) He established the international centre for theoretical physics at Trieste, Italy where
scientists from developing countries are given chances for research.
4) He is the first Pakistani scientist who was awarded by Nobel prize.
Contributions of Dr. Abdul Qadeer Khan:
1) He was selected as research assistant in the university of Holland.
2) He worked as an expert at Urenco Enrichment Plant in Holland asa Joint Venture of the
Government of Holland.
3) He contributed in making Pakistan a nuclear state.
Measurement
Measurement means the comparison of an unknown quantity with a standard to see how many
times it is big or small as compared to the standard.
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Physi
tities
All such measureable quantities which are used to specify the physical properties of an object
ora system are called physical quantities.
For example; Mass, Length, Time, Velocity, Acceleration and Force etc.
All physical quantities are divided into two groups,
i)Fundamental Quantities {i) Derived Quantities.
In physics length, mass and time are supposed to be the main fundamental quantities since
scientists all aver the world have recognized that all physical quantities in mechanics can be
expressed in terms of these fundamental quantities.
To measure a physical quantity we need a certain unit. There are two types of units.
i)Fundamental Units:
“The units used to express fundamental quantities are known as fundamental Units”.
ii) Derived Units:
“The units used to express the physical quantities that are derived from fundamental.
quantities, are called Derived Units”.
Si Fundamental (OR) Base Quantities With Their Units
Physical
Quantity
Symbol For
Quantity -
t
Name Of Unit
Metre
m Kilogram.
t Second
Electric Current I ! Ampere
Temperature T Kelvin
Luminous intensity lu Candela cd
Amount of Substance N Mole mol
Physical Quantities, Coefficients and Constants and Their S.J Units
S.N Name of Quantity Symbol ‘SI Unit
1_| Mass m. | Kilogram Ke
2. | Length I Metre
3 _| Distance 5. Mette
4_ | Displacement “Or __| Metre
5. | Time t second
6 | Area A Metre Square
7_| Volume v Metre Cube
8 | Density p{row)_| Kilogram Per metre cube
9. | Speed v Metre per second
Velocity v Metre per second m/s
11. | Acceleration “F. | Metre per second square
12: | Acceleration due to Gravity “P| Metre per second square m/s?
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13 | Force F Newton N
14 | Weight W Newton N
15 | Linear Momentum ne Kilogram metre per second | Kg.m/s
16_| Torque T(tau) | Newton metre Nm
17 | Centripetal Acceleration 3? | Metre per second square m/s?
18 | Centripetal Force Fe” | Newton N
19 _| Gravitational Constant G Newton metre suite pera Saume | Nimi2/Kg*
20 | Energy E Joule J
21_| Work Ww Joule J
22 | Kinetic Energy KE Joule J
23 _| Potential Energy PE Joule J
24 | Power | P Watt watt.
25 _| Wave length Metre
26 | Frequency f Hertz
27_| Tension TT Newton N
28 | Pressure "P| Newton per metre Square | N/m? _|
25 | Heat SQ [Joule J
30 _| Temperature T Kelvin K
31_| Specific Heat iS Joule per kilogram Kelvin J/Kg.k
32_| Heat Capacity c Joule per Kelvin 3
33__| Amount of substance N Mole mol
34_| Gas Constant R Joule per mole Kelvin d/mol.k
35 | Stress @(Sigma) | Newton per metre square N/m?
36_| Strain Nil *
37_| Young's Modulus. Newton per metre square N/m?
38_| Time period Second Ss
39_| Amplitude Xo Metre m
40 _| Power of Lens P Dioptre Diop.
41 _| Focal Length f Metre m
42 _| Electric Charge Q Coulomb G
43 | Potential Difference Vv Volt Vv
44 | Capacitance c Farad F
45 | Electromotive Force e.m.f(E) | Volt Vv
46 | Electric Current 1 Ampere A
47_| Resistance R Ohm Olomega)
48 | Luminous Intensity lw Candela cd
49 | Coefficient of Linear heat expansion a Per Kelvin a/K(K*)
[50_| Coefficient of volumetric heat expansion I B Per Kelvin 1/K(K3)
Asset of fundamental and derived units is known as a “system of units”.
There are four systems of units being used in scientific work.
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i) MKS System
i) — CGS System
iii). British Engineering System (or) F.P.S System.
iv). System International (SI)
i) M.K.S System:
In this system Metre, Kilogram and Second are the fundamental units for Length, Mass and
Time respectively.
ji) C.G.S System:
In this system Centimetre, Gram and Second are the fundamental Units for Length, Mass and
Time respectively.
iii) British Engineering System (or) F.P.S System:
It is an old system of units, in this system Length, Force and Time are fundamental quantities
and their units are Faot, Pound and Second respectively.
In this system Mass is not a fundamental quantity it is derived and its unit is “Slug” which Is
derived from the unit of force ie, Pound.
1 Slug =32.17 Pound = 14.59 kg
iv) System International (5.1):
In this system seven quantities have been accepted as fundamental quantities. They are
Length, Mass, Time, Electric Current, Amount of Substance, Temperature and Luminous
Intensity.
Prefixes of Units and Their Values
Prefix Symbol Value Notation
Exa E - 1,000,000,000,000,000,000 10%
a Peta P 1,000,000,000,000,000 108
= | Tera T 1,000,000,000,000 10%
= | Giga G 1,000,000,000 10°
& | Mega M 1,000,000 108
= | Kilo K 1,000 10
S.| Hector =H 1,00 10?
Deka. Da 10 10
Deci o OL 107
wy | Centi c 0.01 10?
2 | Mill M 0.001 103
| Micro u 0.000001 10%
5 | Nano ON o.oo0000001 108
= | Pico Pp 0.0000000000001 107
| Femto FE ,000000000000001 10%
Atto A o.o00000000000000001 10%
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Dimensions
The word dimension has special meaning in physics. It is used to denote the nature of physical
quantity. Whether a distance is measured in any unit eg. metres, miles or even light year. It is
always a distance and its dimension is length.
The symbols L, M and 7 are the symbols usually used to specify the dimensions of length, mass
and time respectively. The dimension of any physical quantity can always be expressed as some
combination of the fundamental quantities, such as mass, length and time.
Note:
i. By addition or subtraction, dimensions remain unchanged.
Eg. a) LeL=L_(b) L-L=L_(c) 3M+2M =M (d) ST-T=T
ii. By multiplication or divisian, dimension are changed.
Eg. (a) LaL=L? (b) L/L= 1 (c) 2137 = T? (d) SM2x3M3 = M5
Signi igure
Those digits in a number which are known to be reasonably reliable or show the accuracy are
called significant Figures. Example:
The length of an abject is recorded as 16.7cm. This measurement Is an approximation to the
nearest length of a centimetre and its exact value lies between 16.65 and 16.75 cm. If this
measurement is exact to the hundredth of a centimeter. It would have been recorded as 16,70
cm. The value 16.7 represents three significant figures (1, 6, 7). While the other value 16.70
represents four significant figures (1, 6, 7, 0).
Rules For Finding Significant Figures:
i. Ifthe numberis written in exponent form (scientific notation), all digits are significant.
Eg. 2.35x10° (no. of significant figures= 3)
5.410x10° (no. of significant figures= 4)
ii. All non-zero digits are significant.
Eg. 382 (no. of significant figures= 3)
5.148 (no. of significant figures= 4)
ii. Zeros at the end of whale numbers are significant.
Eg. 500 (no. of significant figures= 3)
152000 (no. of significant figures= 6)
iv, All zeros to the immediate right of the decimal are significant only when there is a
significant figure to the text of the decimal, otherwise they are insignificant.
Eg. 0.025 (no. of significant figures= 2}
0.0000413 (no. of significant figures= 3)
1.005 (no. of significant figures= 4)
v. All zeros between two non-zero digits are significant,
Eg. 2005 {no. of significant figures= 4}
5102007 (no. of significant figures= 7)
2.3005 (no. of significant figures= 5}
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Addition and Subtraction:
The answer should have the same number of figures to the right of the decimal point as does
the least precisely known number being added or subtracted,
Examples:
i) 25.340 ii) 58.0 tii) 4.20 iv) 415.5 vp 8.52 Vi} 12.183
5.465 0.0038 1.6523 3.64 43, “8.31
+0.322 0.00001 +0.015 40.238
31,127 8.00381 5.8673 419.378 3.22 3.873
{Ans} =58.0(Ans) =5.87 (Ans) =419.4(Ans) . =3.2 (Ans) =3.87 (Ans)
Multiplication and in:
The result should be rounded off to contain only as many significant figures as are contained in
the least exact factor.
Examples:
i. 5.21x0.2=1.042=1(Ans) ii) 12.14x3.2=38.848=39(Ans)
ili) 85.2x71.5=6091,8=6,09x10*(Ans)
iv) 25x172.1=4302,5=4.3xL0°(Ans) v) 84+-12.5=6,72(Ans) vi) 25+8.9=2.8089888=2.8(Ans)
vil) 1.34-+0,006=223.33333=2x10"{Ans)
Trigonometric functions:
The value of trigonometric functions have the same number of significant figures as their
arguments.
Examples:
ip Sin35°=0.57
li) $in35.0°=0.574
Ex# 1.1
MCQs based on braches of physics
|. The subject of science is classified into two main branches, physical Sciences and
sciences.
a) Mathematical b)- Biological c) Chemical d) Statistical
ii, - The main branch of physical science is ;
a) Zoology b) Botany ¢) Physiology d) Chemistry
iii, Which is not the branch of biological science.
a) Geology b) Physiology c) Botany d) zoology
iv, The branch of science which deals with study of the properties of matter and energy
and interaction between them is called.
a) Physics b) Chemistry c} Mathematics d) None of
these
v. . The branch of modern physics is, ‘
a) Optics b) Mechanics c) Nuclear Physics’ ~~ -d) None of
these
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vi. is the branch of physics, which is concerned with structure and properties
of atoms.
a) Atomic physics 'b) Nuclear physics c) Mechanics d) None of
these
vil. | The branch of physics in which we study about the electric charge either at rest or in
motionis, ‘
a) Electrostatics b) Electricity ¢) Electronics d) None of
these
viii. physics is concerned with properties of highly ionized atoms.
a) Atomic b) Nuclear c) Plasma d) None of these
ix. is mainly concerned with the motion of bodies under the action of given
forces.
a) Mechanics b) Optics c) Magnetism d) None of these
x. Electronic appliances are in common use due to the research in
a) Solid state b) Electricity c) Electronics d} None of these
xi, Automobile technology are in common use due to the research in,
a) Atomic physics b) Thermodynamics c} optics d) None of these
xii. Technological progress initiated with the invention of tools made up of.
a) Wood 5) Metals c) Stones d) Noneof these
xii. claimed that if he had a suitable place to stand he could move the world by
LEVER.
s
Archimedes b) Newton c) Coulomb d) None of these
xiv. invented first screw.
a) Archimedes b) Newton c} Coulomb d) None of these
fr vii, | vii. ix, x xi. xii | xiii, | xiv.
8 c A C 5 c 4A A
Exgi 1.2
cS:
i. tbn-al-Haitham wrote, book, which deals with optics.
a) Qanoon-ul-masoodi b) Kitab-ul-manazi c} Al-Shifad) None of these
ii, refused the old theory of light, and declared it as a form of energy.
a) Ibn-al-Haitham b)}Al-Beruni c) Dr.Abdul Qadeer d) None of these
ili, described the nature of light.
a) Yaqub kindi b) Ibn-e-Sina c) Al-Beruni d) None of these
We camera is constructed by Ibn-al-Haitham.
a) Digital b) Pinhole c) Analog d) None of these
ve was the first to give two laws of reflection.
a) Al-Beruni b) Nasir-ud-din c) Ibn-al-Haitham d) None of these
vi. Ibn-al-Haitham was born at a city of Irag.
a) Basra b) Baghdad c}Karbala d) None of these
vil. was born in Afghanistan,
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x
a) Dr.Abdul Qader b) Al-Beruni. c) Khwarzami d) None of these
viii. discussed the measurement and shape of earth.
a) Ibn-al-Haitham b) Yaqub kindi c) Al-Beruni d) None of these
ix. discussed the movement of known planets.
a) Al-Beruni b) Yaqubkindi c) Ibn-al-Haitham d) None of these
x The book “Qanoon Almosoodi” is written by. :
a) Ibn-al-Haitham b) Al-Beruni c) Dr.Abdus salam d) None of these
xk. gave the method of determining the longitude and latitude of a place.
a) Al-Beruni. b) Jabir bin Hayan ¢}Ibn-al-Haitham d) None of these
i... Yaqub kindi was bern in.
a} Afghanistan b) Bhopal c) Basra d) None of these
xill. discussed music from a scientific point of view.
a) Al-Beruni b) Yaqub kindi c)lbn-al-Haitham d) None of these
xiv. was the important member of “Bait-ul-Hikmat”.
a) Al-Beruni b) Yaqub kindi c) Khwarzami d) None of these
xv. Method of counting is introduced by.
a) Nasir-ud-din. b) Khwarzami c) Yaqub Endl d) None of these
xvi. ‘was the minister of halaku khan.
a) Ibn-al-Haltham b) Al-Beruni c) Nasir-ud-din d) None of these
wii. prepared precise and accurate tables about the planetary motion.
a) Nasir-ud-din b) Al-Beruni c) Dr.Abdus Salam d)None af these
xviii, Dr.Abdul Qadeer Khan was born at. in india.
a) Delhi b) Bhopal c) Ahmed Abad d) None of these
xix. The author of Al-Qanun-Fil-Tib (Qanoon) was
x
a). Al-Razi b) Omer khayam c) Ibn-2-Sina d) None of
these
xx; The famous book Al-Shifa was written by the Muslim scientist. 4
a) Ibn-e-Sina b) Ibn-al-Haitham c) Abu-Rehan-al-Beruni
d) None of these
xxi, was awarded Nobel Prize in Physics for his work on Grand Unification
Theory (GUT).
a) DrAbdul Qadeer b) Dr.Abdus Salam _c) Al-Beruni_d) None of these
kL fi | Ti | ve} vi | wi] vill, |e. x
BTA Dies. [eco af: wp cel Av 8
xi [iis [wi Paiva. [vie [avi Poovitl. | xix ce |
A Cc B c 8B. c A B c A 8
MCQs From Past Papers:
|.” Laws of Reflection and Refraction are given by. : (2001)
a) Al-Razi b) Al-Beruni c}lbn-ul-Haitham d) Ibn-e-Sina
ii... Qancon-ul-Masoodi was written by the Muslim scientist, i (2002)Pre Eng
a) Ibn-ul-Haitham — b) Abu Rehan-al-Beruni ¢) Ibn-e-Sina
d) Al Khuwarzami
iil. | The famous book Kitab-ul-Qanaon Masoodi was written by. » {2002)Pre Med.
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a
a) Al Beruni b) Al Battni c) Al Masood d)al kind)
iv. The author of Al Qanoon-Fil-Tib was, (2004)
a) Al-Razi b)Ibn-2-Sina c)Omer Khayam ‘d)None of these
vy. . Which of the following was written by Ibn-ul-Haitham? (2005)
a) Kitab-ul-Manazir b) Kitab Qanoon-ul-Masoodi c) Al-shifa d) Al Qanoon-Fil-Tib
vi. Kitab-ul-manazir was written by. i (2007)
a) Ibn-ul-Haitham — b) Al-Beruni ¢) Ibn-e-Sina d)Al-Razi
vii. The auther of the book al shifa was, ‘ {2008}
a) Al-Razi b) Al-Beruni c) Ibn-e-Sina d) Ibn-ul-
Haitham
vill, Screw and liver were invented by. 2 (2009)
a) Newton b) Al-Farabi c) Archimedes d)Galileo
Galilei
ix, . Kitab-ul-Manazir is written by. {2010)
a) |bn-e-Sina b) Ibn-ul-t Haitham c) Al-Razi d) Al-Beruni
x. The noble prize in physics was awarded to this Pakistani scientist:
a) Dr. Abdul Qadeer khan b)Dr. Saleem uzzaman Siddiqui c) Dr. Abdus salam
d) Dr. samar mubarak mand (2014)
xi. Intravenons injection by means of silver syringe was initially used by:
a) lbn-e-sin b) Omer Khayyam c)Al-Beruni — d) Jabir bin Hayyan
xii, Kitab-ul-Manazir is written by, (2016)
a) Ibn-e-Sina b) ibn-ul- Haitham c) Al-Razi d) Al-Beruni
ta [am Tw [ow pow [fi Tok [oe [ot 7 ot
tw | a ea: [ae oe ee |e Es
Ex# 1.3
MCQs Based on measurement:
i, Units used to express fundamental quantities are called
a) Fundamental units b) Derived units c) S| Units d) None of these
il, Units are derived from fundamental units are called
a) Fundamental units b) Derived units c) Physical Units d) None of these
iii. _ Aset of fundamental and derived units is called. .
a) Powerset b) System of unit c) Derived unit d) None of these
iv. The difference between the measured value and actual value is called
a) Error b) Accuracy ‘) both d} None of these
ve error can arise due to make an error in reading a scale.
a) Personal b) Systematic c) Random —— d) None of these
vi. error can arise due to fault in measuring instrument.
a) Personal b) Systematic c) Random ~—_d) None of these
vii, Systematic error also called error.
a) Instrumental b) Zero ¢) both d) None of these
viii. error arises due to the change in temperature.
Persanal b) Systematic c) Random — d) Noneof these
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a
ix, S.1 Stands for.
a) System of information b) Standard Information c) System international d)
None of these
x.” Inthe British Engineering System the unit of length is, and the unit of
mass is. *
a} Foot, slug b) metre,kilogram c) both a andb d) None of these
xi. The multiples (Large) units are obtained by
a) Adding b) Multiplying c) Dividing d) None of fhe
xii.) The submultiples (Small) units are obtained by.
a) Subtracting b) Multiplying - c) Dividing d) None of these
xiii, Fundamental units are called units.
a) Derived b) Basic c} S.| d) None of these
xiv. 5 minutes = seconds.
a) 50. b)300 c) 500 d) 700
xv. 30 seconds = minutes.
a) 5 b)O.5 c) 2 d)None of these
xvi: © 2 years = minutes.
a) 63072000 b) 68273000 c) 60000000 d)1051200
xvii, 1 century = hours.
a). 678000 b) 768000 c) 876000 d) 523000
xviii, 500mg = kg.
a) 5x10"b) 5x10%c) Sx10* d) None of these
xix. 2kg = g.
a) 0.5. b) 200 c) 1000) 2000
xX. Lem=. mm.
a) 0.1. b) 10 c} 100 d) 1000
xxi, Total number of fundamental units is,
a) 3 b) 5 q7 d)10
xxii. 1 Decametre (Dm) = m.
a) 10 b) 107 ¢) 10? d) 108
xxiii, 1 Gigametre (Gm) = m.
a) 10° b) 10° ¢) 10% d) 104
xxiv.) 1 milimetre (mm) = m.
a) 10? b) 10 ¢) 10% d) 105
xxv. 1 micrometre (um) = m.
a) 103 b) 10* ¢) 107 d) 10%
xxvi. . 1 nanometre (nm) = m.
a. b) 10* c) 107 d) 10?
yal. Lmetre= mm (milimetre}.
a). 103 b) 103 c)107 d) 10
xvvili.’ Ll metre = pm (pecometre),
a) 10? b) 108 c) 10% d) 10
wxix. Lmetre= Hm (Hectometre).
b) 107 b) 107 c) 10? d) 10
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XXX.
xxi,
yoni
vnxlli.
XXXIV.
XXXV.
1 metre = km (kilometre).
) 10° b) 10? c)207 d) 10
Random error is also called, error,
a) Instrumental b) Accidental c) both d) None of these
If we reduce the errors, then ‘will be increased,
a) Accuracy b) Efficiency c) Result d) None of these
We can increase the accuracy by taking the of a large member of readings of
the same measurement.
a) Sum b) Difference c) Average d) None of these
The fundamental physical quantities which form the bases for MKS system are:
a) Mass, Length, Force b) Force, Length, Time — c) Mass, Length, Time
d) None of these
Metre, kilogram, second, ampere, Kelvin, candela and mole are the seven basic units in
the system called.
a)_MKS b) SI c) CGS d} None of these
i viii. ix, x xi, xi.
c c A c B
xx. | xi | xxii, xxiii. | xxiv.
pic[a B yA
will, | xxix, ~ [wei _heexil. fooriti. foociv. boon,
Spe pa e [ee (eeenpa [let e [| s
MCQs From Past Papers:
i. Candela is the unit of s (2003)Pre Eng
a) Force b) Luminous Intensity cc) Mass d) Velocity
ii, The basic unit of Luminous Intensity is ‘ {2007}
a) W/m? * b) Decibel c)Diopter d) Candela
ili. . The basic unit of Luminous Intensity is. : (2014)
a) W/m? b) Decibel ¢)Diopter d) Candela
iv. — Light year is the unit of: (2027)
a) Time b) Distance ¢) Velocity d) Luminous Intensity
Lit a]
Le tolo|
Ex# 1.4
MCQs based on Dimension
i.
il.
itt,
iv.
‘The dimensions of angular momentum are,
a) MLT? b) MLT? c) MT? d) None of these
The dimensions of momentum are, ‘
a) MLT* b) MLT? c} MALT? d) None of these
The dimensions of “G” are, ¥
a) Mur? b) ML?T3 ¢) MET? d) None of these
The dimensions of acceleration are i
a) LT b) LT? gr d) None of these
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v. The dimensions of force are
a) MLT? b) MLT? c) MAT d) None of these
i, a fit Pw Tv
c.] e-] asf a fa
MCQs From Past Papers:
i. The dimensions of angular momentum are. i (2001)
a) MET b) ML7T? c) MLT? d) MLT?
ii. _ The dimensions of angular velocity are, : (2003)Pre Eng
aj T b) LT? c) MPT? d) LT?
iii, ~~ The dimensions of kinetic energy are i (2002)Pre Med
a) AMUT? b)%4 MLT* c) ML"? d) MT?
iv. — The dimensions of angular momentum are. E (2003)Pre Eng
a) MLT? b) MLT* c) MT d) MUT
v. The dimensions of “G” are, : (2003)Pre Med
a) Mit? b) ML*T3 c) MTF d) None of these
vi... The dimensions of power are,
(2006)
a). METS b) MT? c) MET? d) MET
vil: The dimensions of linear momentum are- # (2007)
a) MLT* b) MT? ie) MLT? d) Mert
vill, The dimensions of torque are. 7 (2008)
a) MUT b) MUT? i) MET? d) MLT?
ix.» The dimensions of angular momentum are. z (2010)
a) Une b) PMeT ¢) MT. d) PMT?
x. » The dimensions of “G" are. : (2011)
a) ML*T3 b) ML?T3 ¢) M{bT? d) Mav?
xi. The dimensions of force are. . (2013)
a) MLT byMLT* ¢) MLT? ¢) MLT?
xii. The dimensions of torque are. : (2014)
a) MUT b) MUT? ic) ML'T? d) MULT?
xifi.’ The dimensions of “G” are, i (2015)
a) ML“T b) ML773 ce) M1LT? d) MET?
xiv... The dimensions of “6” are. j (2016)
a) ML7T b) ML?7? ¢) MUBT? d) MT?
MCQs based on significant figures
i> The number 860.040 has.
@) 3 significant figures b) 4 significant figures
c) 6significant figures d) None of these
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The number of significant figures in all the given number are
25,12, 4.156, 1.257x10".
a) 2 b) 3 c) 4 d) None of these
ji, The number 0.00089 should be expressed in significant notation as x
a) 89 b) 89x10° )8.9x10* —_d) None of these
iv. The number 9.40x10° has. 4
a) 1 significant figures b) 2significant figures
c) 3 significant figures d) None of these
v. For the quantity 0.121203, the number of significant figures is,
a) 3 b) 4 dé d)7
vi. The number of significant figures in 2.050x10° is, :
a) 2 b)3 da dé
ia fw Tw Dv Tw
t |e [se [ce i] cc
MCQs FromPast Papers
i. The number of significant figures in 1.20x10* are. ; (2002)Pre Med
a) 2 b) 3 cd 4 d)7
ji, _ For the quantity 0.121203, the number of significant figures is {2003)Pre Med
a) 3 b) 4 ¢) 6 d)7
iii, The number 860.040 has. significant figures. (2005)
a) 3 b) 4 qs d) 6
iv. The number of significant figures in 2.050x10° is . (2006)
a) 2 b) 3 4 a) 5
v. The number of significant figures in 0.005040 is. 3 (2008)
a) 3 _ ba 5 dj 6
vi. The number of significant figures in 0.005040x10* , (2009)
a) 2 b) 3 4 d)7
vii. The number of significant figures in 7.050x10" is F (2010)
a) 2 b) 3 d4 d) 6
vill, The products of two numbers 5.642 and 4.71 in the prospective significant number is
: (2012)
a) 26.57382 b) 26.574 c) 26.6 d) 26.5738
ix. The number of significant figures in 1.6x107 is i
a) 2 b) 3 ) 4 d)6 (2017)
Evi iT Tv Tw Dw [ui 7 x
(a C] DEG 1 a4 € 6 [och 2
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Questions From Past Papers: (Complete Chapter}
Name three Muslim Scientists? (1994)
,
ji, What are the dimensions of angular velocity “w”? show that the equation T = an ft is
dimensionally correct, where “T” Is the time period of a simple pendulum of length
at the place where acceleration due to gravity is “g". (1995)
iil. . Give the names of three Muslim scientists who made remarkable contributions in the
field of physics. (1998)
iv. Show that the following equations are dimensionally correct: (2002)Pre Eng
a) rata f b) V=fa
v. Prove that the following equations are dimensionally correct:
(2004)
a) VP-Vi? = Zas b) T= an fe
vi. - Give the dimensions of the following quantities: (2012)
a). Torque b) Angular Momentum c) Pressure d) K.E
vil. Show that the following formulae are dimensionally correct: : (2013}
a) V=fa br = an FE
vill. . Show that the following formulae are dimensionally correct: (2016)
a) V=fa b) t= 20
is dimensionally correct and find the dimensions of kinetic
ix. Show that the expression f =
energy. (2017)
Assignment # 1.1
What is the meaning of dimension in physics? Prave the following equations are dimensionally
correct,
a) we vtat
b) s=vatiat?
ce) s=(wevi)/2a
d)
-
Sap im
e) Vv
=2n |t
fl T=2n ft
a) 722" fP
h) v=af
(here “T" is tension and vis the speed of transverse waves)
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ii.
vie
vil.
Give the dimensions of the following quantities.
*angular velocity, *pressure, * stress, *Tension, “spring constant(k), *Gravitational canstant (G),
*potential energy, “frequency, *weight, “coefficient of friction.
How many significant figures are given in the following?
a} 454 b)2.2 c)2.205 d)0.3937 e) 0.0353 f) 1.0080 g) 14.0 h) 93x40" i) 1.118x10% j)
2030 k) 125000
Ans; 3, 2, 4, 4,3, 5,3, 2,4, 4,6.
Add the following in the prospective significant number.
a} 703+7+0.66 b) 18.425+7.21+5.0 c) 0,0035+0.097+0.225 d) 4.0+0.632+0.148
‘Ans: 711, 30.6, 0.326, 4.8
Subtract the following in the prospective significant number.
a) 7.26-0.2 b)562.4-16.8 c)34-0.2
Ans: 7.1, 545.6, 34
Multiply the following in the prospective significant number,
a) 2.21x0.3 b}72.4x0,084 ¢) 2.02x4.113 d) 107.88x0.610 e) 12.4xB4.0 f) 72.4x8.6
‘Ans: 0.7, 6.1, 8.31, 65.8, 1.04x10%, 6.2x10?
Divide the following in the prospective significant number,
a) 97.52+2.54 b)14,28+0.714 c) 0.032+0.004 d)9.80+9.30
Ans: 38.4, 20.0, 8, 1,05
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