Chapter 1 Physical World
CHAPTER NO.1 PHYSICAL WORD
1.1 WHAT Is PHYSICS 7
Humans have always been curicus about the world
around them. The night sky with its bright celestial objects has
fascinated humans since time immemorial. The regular
repetitions of the day and night, the annual cycle of seasons,
the eclipses, the tides, the volcanoes, the rainbow
have always been a source of wonder. The world has an astonishing variety of
materials and a bewildering diversity of life and behaviour.The inquiring and
imaginative human mind has responded to the wonder and awe of nature in
different ways. One kind
of response from the earliest times has been to
observe the physical environment carefully, look for any meaningful
patterns and relations tn natural phenomena, and
build and use new tools to interact with nature. This human endeavour led, in
course of time, to modern science and technology.The word Science originates
from the Latin verb Scientia meaning ‘to know’. The Sanskrit word Vijnar and
the Arabic word im convey similar meaning, namely ‘knowledge’.Science, in a
broad sense, is as old as bnmman species. The
early civilisations of Egypt, India, China, Greece,
Mesopotamia and many others made vital contributions to its progress.From the
sixteenth century onwards, great strides were made
in science in Europe. By the middle of the twentieth
century,science had become a truly international enterprise, with
many cultures and countries contributing to its mpid
growth.What is Science and what is the sc-called Scientific
Method? Science is a systematic attempt to
understand natural phenomena in as much detail and depth as possible,
and use the knowledge so gained to predict, modify
and control phenomena. Science is exploring, expertmenting and
predicting from what we see around us. The curiosity
to learn about the world, unravelling the secrets of nature is the first step
towards the discovery of actence. The scientific method involves several
interconnected steps : Systematic observations, controlled experiments,
qualitative and quantitative reasoning, mathematical
modelling, prediction and verification or
falsification of theories. Speculation and conjecture also have a place in
science; but ultimately, a scientific theory, to be acceptable,
must be verified by relevant observations or experiments. There is much
philosophical debate about the nature and method of science that we need not
discuss here.
The interplay of theory and observation {or
experiment) is basic to the progress of science.Science is ever dynamic. There
is no ‘final’theory in science and no unquestioned authority among scientists.
As observations improve in detail and precision or experiments
yield new results, theorles must account. for them,
ifnecessary, by introducing modifications.Sometimes the modifications may not
be drastic
and may lic within the framework of existing theory.
For example, when Johannes Kepler (1571-1630) examined the extensive data on
planetary motion collected by Tycho Brahe (1546-1601), the planetary circular
orbits in
heliocentric theory (sun at the centre of the solar
system) tmagined by Nicolas Copernicus (1473-1543) had to be replaced by
elliptical orbits to fit the data better. Occasionally,however, the existing
theory is stmply unable
to explain new observations. This causes a major
upheaval in science. In the beginning of the twentieth century, it was realised
that Newtonian mechanics, till then a very successful theory, could not explain
some of the
moat basic features of atomic phenomena.
Shnilarly, the then accepted wave picture of light
fafled to explain the photoelectric effect property.
This led to the development ofa radically new theory
(Quantum Mechanics) to deal with atomic and molecular phenomena.
Just as a new experiment may suggeat an
alternative theoretical model, a theoretical advance
may suggest what to look for in some experiments. The result of experiment of
scattering of alpha particles by gold fofl, in 1911
by Ermmest Rutherford (1871-1937) established the
nuclear model of the atom, which then became the basis of the quantum theory of
hydrogen atom given in 1913 by Niels Bohr (1885-1962). On the other hand, the
concept of antiparticle was first introduced theoretically by
Paul Dirac (1902-1984) in 1930 and confirmed two
years later by the experimental discovery of positron (antielectron) by Carl
Anderson.
Physics is a basic discipline in the category of
Natural Sciences, which also includes other disciplines Hke Chemistry and
Biology. The word Physics comes from a Greek word meaning nature. Its Sanskrit
equivalent is Bhaufiki that.
ia used to refer to the study of the physical
world.A precise definition of this discipline is neither possible nor
necessary. We can broadly describe
physics as a study of the basic laws of nature and
their manifestation in different natural phenomena. The scope of physics is
described briefly in the next section. Here we remark on
two principal thrusts in physics ; unification and
reduction.
In Physics, we attempt to explain diverse physical
phenomena in terms of a few concepts and taws. The effort is to sce the
physical world as manifestation of some universal laws in different domains and
conditions. For example,
the same law of gravitation (given by
Newton)describes the fall of an apple to the ground, the motion of the moon
around the earth and the motion of planets around the sun. Similarly, the
basic laws of electromagnetism (Maxwell's equations}
govern all electric and magnetic phenomena. The attempts to unify fundamental
forces of nature (section 1.4) reflect this same
quest for unification.
Arelated effort is to derive the properties of a
bigger, more complex, system from the properties and interactions of ite
constituent simpler parts.This approach is called reductionism and is at the
heart of physics. For example, the subject
of thermodynamics, developed in the nineteenth
century, deals with bulk systems in terms of macroscopic quantities such as
temperature,intemal energy, entropy, etc. Subsequently, the subjects of kinetic
theory and statistical mechanics interpreted these quantities in terms of the
properties of the molecular conatituents of the bulk system. In particular, the
temperature was seen to be related to the average
kinetic energy of molecules of the system.
1.2 SCOPE AND EXCITEMENT OF PHYSICS
We can fet some idea of the scope of physics by
looking at its various sub-disciplines. Basically,there are two domains of
interest ; macroscopic
and microscopic. The macroscopic domain
tochales phenomena at the laboratory, terrestrial
amd astronomical scales. The microscopic domain includes atomic, molecular and
nuclear phenomena’. Classical Physics deals mainly
with macroscopic phenomena and includes
subjects like Mechanics, Electrodynamics,Optics and
Thermodynamics. Mechanics founded on Newton’s laws of motion and the law
of gravitation is concerned with the motion (or
equilibrium) of particles, rigid and deformable bodies, and general systems of
particles. The propulsion of a rocket by a jet of ejecting gases,
propagation of water waves or sound waves in air,
the equilfbrium of a bent rod under a lead,etc., are problems ofmechanics.
Electrodynamics
deals with electric and magnetic phenomena
associated with charged and magnetic bodies.Its basic laws were given by
Coulomb, Oersted,Fig. 1.1 Theory and expertment go hand in hand tr ph expertinents
of Rutherford gave the nuclear Ampere and Faraday, and encapsulated by Maxwell
in his famous set of equations. The motion of a current-carrying conductor in a
magnetic field, the response of a circuit to an ac
voltage (signa), the working of an antenna, the Propagation of radio waves in
the ionosphere, etc.,
are problems of electrodynamics. Optics deals with
the phenomena involving light. The working of telescopes and microscopes,
colours exhibited
by thin films, etc., are topics in optics.Thermodynamics,
in contrast to mechanics, does not deal with the motion of bodies as a
whole.Rather, it deals with systems in macroscopic equilibrium and is concerned
with changes in
infernal energy, temperature, entropy, etc., of the
system throngh external work and transfer of heat. The efficiency of heat
engines and
Tefrigerators, the direction of a physical or
chemical proceas, eic., are problems of interest in thermodynamics.
The microscopic domain of physics deals with the
constitution and structure of matter at the minute scales of atoms and nuclei
(and even lower scales of length) and their interaction with different probes
such as electrons, photons and
other elementary particles. Classical physics is
inadequate to handle this domain and Quantum Theory is currently accepted as
the proper framework for explaining microscopic Phenomena. Overall, the edifice
of physics is
beautiful and imposing and you will appreciate it
more aa you pursue the subject.
You can now see that the scope of physics is truly
vast. It covers a tremendous range of magnitude of physical quantities like
length,
mass, time, energy, etc. At one end, it studies
Phenomena at the very small scale of length (10**m or even leas) involving
electrons, protons,
etc.; at the other end, it deals with astronomical
phenomena at the scale of galaxies or even the entire universe whose extent is
of the order of
10m. The two length acales differ by a factor of 10®
oreven more. The range of time acales can be obtained by dividing the length
acales by the speed of light : 108 to 10%. The range of masses goes from, say,
10° kg (mass of an
electron) to 10" kg (mase of known observable
universe). Terrestrial phenomena lie somewhere in the middle of this range.
Physics is exciting in many ways. To some people the
excitement comes from the elegance and unitversality of ita basic theories,
from the fact that
a few basic concepts and laws can explain phenomena
covering a large range of magnitude of physical quantities. To some others, the
challenge in carrying out imaginative new experiments to
unlock the secrets of nature, to verify or refute
theories, is thrilling. Applied physics is equally demanding. Application and
exploitation of
physical laws to make useful devices is the most
interesting and exciting part and requires great ingenutty and persistence of
effort.
What lies behind the phenomenal progress
of physics in the last few centuries? Great progress
usually accompanies changes in our basic perceptions. First, it was realised
that for scientific progress, only qualitative thinking,
though no doubt important, is not
enough.Quantitative measurement is central to the growth of science, especially
physics, because the laws of nature happen to be expressible in precise
mathematical equations. The second most important insight was that the basic
laws of physics are universal — the same laws apply in Widely different
contexts. Lastly, the strategy
of approximation turned out to be very
successful. Most observed phenomena in daily Hfe are
rather complicated manifestations of the basic laws. Scientists recognised the
importance
of extracting the essential featurea of a phenomenon
from its less signtficant aspects.It is not practical to take into account all
the complexities of a phenomenon in one go. Agood
strategy is to focus first on the casential
features,discover the basic principles and then tntroduce
corrections to build a more refined theory of the
phenomenon. For example, a stone and a feather dropped from the same height do
not reach the ground at the same time. The reason is that the essential aspect
of the phenomenon, namely free fall under gravity, is complicated by the
presence of air reaistance. To get the law of free
fall under gravity, it is better to create a
situation wherein the air resistance is negligible. We can, for example, let
the stone and the feather fall through a long evacuated tube.
In that case, the two objects will fall almost at
the same rate, giving the basic law that acceleration due to gravity is
independent of the
mass of the object. With the basic law thus found,
we can go back to the feather, introduce corrections due to air resistance,
modify the existing theory and try to build a more realistic
Hypothesis, axioms and models
One should not think that everything can be proved
with physica and mathematica. All physics, and also mathematics, is based on
assumptions, each of which is variously called a hypothesis or axiom or
postulate, etc.
For example, the universal law of
gravitation.proposed by Newton is an assumption or hypothesis,which he proposed
out of his ingenuity. Before him,there were several observations, experiments
and data, on the motion of planets around the sun,motion of the moon around the
earth, pendulums,
bodies falling towards the earth etc. Each of these
required a separate explanation, which was more or less qualitative. What the
universal law of
gravitation says is that, ifwe assume that any two
bodies in the universe attract each other with a force proportional to the
product of their masees and inversely proportional to the square of the
distance between them, then we can explain all these observations in one
stroke. It not only explains these phenomena, it also allows us to predict the
results of future experiments.
Abypotheais is a supposition without assuming that
it is true. It would not be fair to ask anybody to prove the universal law of
gravitation, because
it cannot be proved. It can be verified and
substantiated by experiments and observations.
An axiom is a self-evident truth while a model is a
theory proposed to explain observed phenomena. But you need not worry at this
stage about the nuances in using these words. For example, next year you will
learn about Bohr’s model
of hydrogen atom, in which Bohr assumed that an
electron in the hydrogen atom follows certain rules (postutates). Why did he do
that? There was a large
amount of spectroscopic data before him which no
other theory could explain. So Bohr said that if we assume that an atom behaves
in such a manner,we can explain all these things at once.
Einstein’s special theory of relativity is aleo
based on two postulates, the constancy of the speed of electromagnetic
radiation and the validity of physical laws in all inertial frame of reference.
It
would not be wise to ask somebody to prove that the
speed of light in vacuum is constant,independent of the source or observer.
In mathematics too, we need axioms and
hypotheses at every stage. Euclid’s statement that
parallel lines never meet, is a hypothesis. This means
that if we assume this statement, we can explain
several properties of straight lines and two or three dimenational figures made
out of them. But ff you
don't assume ft, you are free to use a different
axiom and get a new geometry, as has indeed happened in the past few centuries
and decades.theory of objects falling to the earth under gravity.
1.3 PHYSICS, TECHNOLOGY AND SOCIETY
The connection between physics, technology and
society can be seen in many examples. The diacipline of thermodynamics arose
from the
need to understand and improve the working of heat
engines. The steam engine, as we know,is inseparable from the Industrial
Revolution in
England in the eighteenth century, which had great
impact on the course of human
civilisation. Sometimes technology gives rise to mew
physics; at other thmes physics gencrates new technology. An example of the
latter is the
wireleas communication technology that followed the
discovery of the basic laws of electrictty amd magnetism in the nineteenth
century. The applications of physics are not always easy to
foresee. As late as 1933, the great physicist Ernest
Rutherford had dismissed the possibility of tapping energy from atoms. But only
a few
years later, in 1938, Hahn and Meitner
discovered the phenomenon of neutron-induced fission
of uranium, which would serve as the basis of nuclear power reactors and
nuclear weapons. Yet another tmportant example of
physics giving rise to technology is the silicon
‘chip’ that triggered the computer revolution in the last three decades of the
twentieth century.
A moat significant area to which physics has and
will contribute is the development of alternative energy resources. The fossil
fuels of
the planet are dwindling fast and there is an urgent
need to discover new and affordable sources of energy. Considerable progress
has already been made in this direction (for example, in conversion of solar
energy,geothermal energy, etc., into electricity), but
much more is still to be accomplished.
Tablel.1 lists some of the great physicists,their
major contribution and the country of origin. You will appreciate from this
table the
mitlti-cultural, international character of the
scientific endeavour. Table 1.2 sts some important technologies and the
principles of physics they are basedon. Obviously, these tables are not
exhaustive. We urge you to try to
add many names and items to these tables with the
help of your teachers, good books and websites on science. You will find that
this exercise is very educative and also great fun.
And, assuredly, it will never end. The progress of
science is unstoppable!
Physics is the study of nature and natural
phenomena. Physicists try to discover the rules that are operating in nature,
on the basis of observations, experimentation and analysis.
Physica deals with certain basic rules/laws governing the natural world. What is the
nature of physical laws? We shall now
discuss the nature of fundamental forces and the laws that
govern the diverse phenomena of the physical world.
1.4 FUNDAMENTAL FORCES IN NATURE*
We all have an intuitive notion of force. In our
experience, force is needed to push, carry or throw objects, deform or break
them. We also experience the impact of forces on us, like when
a moving object hits us or we are in a
merry-go-round. Going from this intuitive notion to the proper scientific
concept of force is not a trivial matter. Early thinkers like Aristotle had
wrong ideas about it. The correct notion of force was arrived at by Isaac
Newton in his famous laws of
motion. He also pave an expHcit form for the force
for gravitational attraction between two boxlies.We shall learn these matters
in subsequent chapters.
In the macroscopic world, besides the gravitational force, we encounter several kinds of forces: muscular force, contact farces between.bodies, friction fwhich is also a contact force
parallel to the surfaces in contact}, the forces
exerted by compressed or elongated springs and taut strings and ropes
(tension), the force of buoyancy and viscous force when solids are in
contact with fhitdis, the force due to pressure of a
fluid, the force due to surface tension ofa quid,and so on. There are also
forces involving charged
and magnetic bodies. In the microscopic domain
again, we have electric and magnetic forces,nuclear forces involving protons
and neutrons,interatomic and intermolecular forces, etc. We
shal get familar with some of these forces tn later
parts of this course.
A great insight of the twentieth century
physics ts that these different forces occurring in
different contexts actually arise from only a small number of fundamental
forces tn nature.
For example, the clastic spring force arises duc to
the net attraction/repulsion between the
neighbouring atoms of the spring when the spring is
clongated/compressed. This net attraction/repulsion can be traced to the
(unbalanced) sum of electric forces between the charged constituents of the
atoms.
In principle, this means that the laws for ‘derived’
forces {such as spring force, friction)are not independent of the laws of
fundamental forces in nature. The origin of these derived
forces 1s, however, very complex.
At the present stage of our understanding,‘we kmow
of four findamental forces in nature,which are described in brief here :
1.4.1 Gravitational Force
The gravitational force is the force of mutual attraction
between any two objects by virtue of their masses. It is a universal force.
Every object
experiences this force due to every other object in
the universe. All objects on the earth, for example, experience the force of
gravity due to
the earth. In particular, gravity governs the motion
of the moon and artificial satellites around
the earth, motion of the earth and planets around
the sun, and, of course, the motion of bodies falling to the earth. It plays a
key role in
the large-scale phenomena of the universe, such as
formation and evolution of stars, galaxies and
galactic clusters.
1.4.2 Electromagnetic Force
Electromagnetic force is the force between charged
particles. In the simpler case when charges are at rest, the force is given by
Coulomb's law : attractive for unlike charges and
repulsive for like charges. Charges in motion
produce magnetic effects and a magnetic field gives rise to a force on a moving
charge. Electric and magnetic effects are, in general,inseparable — hence the
name electromagnetic
force. Like the gravitational force,
electromagnetic force acts over large distances and
does not need any intervening medium. It is enormously strong compared to
gravity. The
electric force between two protons, for example,is
10” times the gravitational force between them, for any fixed distance.
Matter, as we know, consists of elementary charged
constituents like clectrons and protons. Since the electromagnetic force is so
much stronger than the gravitational force, it
dominates all phenomena at atomic and molecular scales. (The other two forces,
as we shall see, operate only at nuclear scales.) Thus
it is mainly the electromagnetic force that governs
the structure of atoms and molecules,the dynamics of chemical reactions and the
mechanical, thermal and other properties of materials. It underlies the
macroscopic forces
like ‘tension’, ‘friction’, ‘normal force’, ‘spring
force’, etc.
Gravity is always attractive, while
electromagnetic force can be attractive or
repulsive. Another way of putting it is that mass comes only in one variety
(there is no negative mass), but charge comes in two varieties :positive and
negative charge. This is what makes all the difference. Matter ia mostly
electrically neutral (net charge is zero).
Thus,electric force is largely zero and gravitational force dominates
terrestrial phenomena. Electric
force manifests itself in atmosphere where the atoms
are ionised and that leads to lightning.
If we reflect a little, the enormous strength of the
electromagnetic force compared to gravity is evident in our daily life. When we
hold a book in our hand, we are balancing the gravitational force on the book
due to the huge
mass of the earth by the ‘normal force’
provided by our hand. The latter is nothing Dut the
net electromagnetic force between the charged constituents of our hand and the
book, at the surface in contact. If electromagnetic force were not
intrinsically so much stronger than gravity, the hand of the strongest man
would crumble under the weight of a feather ! Indeed, to be consistent,
in that circumstance, we ourselves would
crumble under our own weight f
1.4.3 Strong Nuclear Force
The strong nuclear force binds protons and neutrons
in a nucleus. It is evident that without some attractive force, a mucleus will
be unstable due to the electric repulsion between its protons. This attractive
force cannot be
gravitational since force of gravity is negligible
compared to the electric force. Anew basic force must, therefore, be invoked.
The strong nuclear force is the strongest of all fundamental forces,
about 100 times the electromagnetic force in
strength. It is charge-independent and acts equally between a proton and a
proton, a neutron and a neutron, and a proton and a neutron. Its range is,
however, extremely small,
of about nuclear dimensions {107"m). It is
responsible for the stability of nuclei. The electron, it must be noted, does
not experience this force.
Recent developments have, however,
indicated that protons and neutrons are built out of
still more elementary constituents called quarks,
1.4.4 Weak Nuclear Force
The weak nuclear force appears only in certain
nuclear processes such as the f-decay of a nucleus. In B-decay, the nucleus
emits an electron and an uncharged particle called neutrino. The weak nuclear
force is not as weak
as the gravitational force, but much weaker than the
strong nuclear and electromagnetic forces. The range of weak nuclear force is
exceedingly small, of the order of 107°°m.
1.4.6 Towards Unification of Forces
We remarked in section 1.1 that unification ia a basic quest in physics. Great advances in physics often amount to unification of different
theories and domains. Newton unified terrestrial and celestial domains under a common law of gravitation. The experimental discoveries of Oersted and Faraday showed that electric andmagnetic phenomena are in general inseparable. Maxwell umfied electromagnetism
and optics with the discovery that Hight is an
electromagnetic wave. Einstein attempted to unify gravity and electromagnetism
but could not succeed in this venture. But this did not
deter physicists from zealously pursuing the goal of
unification of forces.
Recent decades have seen much progress on this
front. The electromagnetic and the weak nuclear force have now been unified and
are seen as aspects of a single ‘electro-weak’ force.What this unification
actually means cannot
be explained here. Attempts have been (and are
being) made to unify the electro-weak and the strong force and even to unify
the gravitational
force with the rest of the fundamental forces.Many
of these ideas are still speculative and inconclusive. Table 1.4 summarises
some of the milestones in the progress towards unification of forces in nature.
1.6 NATURE OF PHYSICAL LAWS
Physicists explore the universe. Their
investigations, hased on scientific processes,range
from particles that are smaller than atoms in size to stars that are very far
away. In addition to finding the facts by observation and
experimentation, physicists attempt to discover the
laws that summarise (often as mathematical equations) these facts.
In any physical phenomenon governed by
different forces, several quantities may change with
time. Aremarkable fact is that some special physical quantities, however,
remain constant in time. They are the conserved quantities of nature.
Understanding these conservation
principles is very important to deacribe the
observed phenomena quantitatively.
For motion under an external conservative force, the
total mechanical energy i.e. the sum of kinetic and potential energy of a body
is a
constant. The famillar example is the free fall of
an object under gravity. Both the kinetic energy of the object and its
potential energy change
continuously with time, but the sum remains fixed. If the object is released from rest, the
inttial potential energy is completely
converted into the
kinetic energy of the object just before it hits the
ground. This law restricted for a conservative force should not be confused
with the general law of conservation of energy of an isolated
system [which is the basis of the First Law of
Thermodynamics).
The concept of energy is central to physics and the
expressions for energy can be written for every physical syatem. When all forms
of energy e.g., heat, mechanical energy, electrical
energy etc., are counted, it turns out that energy
is conserved. The general law of conservation of energy is true for all forces
and for any kind of
transformation between different forms of energy. In
the falling object example, if you include the effect of air resistance during
the fall and see the situation after the object hita
the ground and stays there, the total
mechanical energy is obviously not conserved.The
general law of energy conservation, however,js still applicable. The initial
potential energy
of the stone gets transformed into other forms of
energy : heat and sound. (Ultimately, sound after it 1s absorbed becomes heat.)
The total energy of the system (stone plus the surroundings} remains unchanged.
The law of conservation of energy is thought to be valid
across all domains of nature, from the microscopic to the macroscopic. It is
routinely applied in the analysis of atomic,nuclear and elementary particle
processes. At
the other end, all kinda of violent phenomena occur
in the universe all the time. Yet the total energy of the universe (the moat
ideal tsolated
system possible!) is believed to remain
unchanged.
Until the advent of Einstein’s theory of
relativity, the law of conservation of mass was
regarded as another basic conservation law of nature, since matter was thought
to be indestructible. It was (and still is) an important principle used, for
example, in the analysis of
chemical reactions. A chemical reaction is basically
a rearrangement of atoms among different molecules. Ifthe total binding energy
of the reacting molecules {a less than the total binding energy of the product
molecules, the difference appears as heat and the reaction fs
exothermic. The opposite is true for energy
absorbing (endothermic) reactions. However,since the atoms are merely
rearranged but not destroyed, the total mass of the reactanta ts the
same as the total mass of the products in a chemical
reaction. The changes in the binding energy are too amall to be measured as
changes in mass.
According to Einstein's theory, mass m is equivalent
to energy E given by the relation E= mc’, where c is speed of light in vacuum.
Ina nuclear process mass gets converted to energy
{or vice-versa). This is the energy which is released in a nuclear power
generation and nuclear explosions.
Energy is a scalar quantity. But all conserved
quantities are not necessarily scalars. The total linear momentum and the total
angular momentum (both vectors) of an isolated system
are also conserved quantities. These laws can be
derived from Newton's laws of motion in mechanics. But their validity goes
beyond mechanics. They are the basic conservation laws of nature tn all
domains, even in those where Newton's laws may uot be valid.
Besides thetr great simplicity and generality,the
conservation laws of nature are very useful in practice too. It often happens
that we cannot
solve the full dynamics of a complex problem
involving different particles and forces. The conservation laws can still
provide useful resilts. For example, we may not know the
complicated forces that act during a collision of
two automobiles: yet momentum conservation law enables us tc bypass the
complications and predict or nile out possible outcomes of the collision. In
nuclear and elementary particle phenomena also, the conservation laws are
important tools of
analysis. Indeed, using the conservation laws of
energy and momentum for B-decay, Wolfgang Pauli (1900-1958) correctly predicted
in 1931 the existence of a new particle (now called neutrino) emitted in
f-decay along with the electron.
Conservation laws have a deep connection
with symmetries of nature that you will explore in
more advanced courses in physics. For example, an important observation is that
the laws of nature do not change with time! If you
perform an experiment in your laboratory today and
repeat the same experiment (on the same objects under identical conditions)
after a year,the results are bound to be the same. It turns
out that this symmetry of nature with respect to
translation (i.e. displacement) in time is equivalent to the law of
conservation of energy.
Likewise, space is homogeneomns and there ia no
(intrinsically) preferred location in the universe.To put it more clearly, the
laws of nature are the
same everywhere in the universe. (Caution : the
phenomena may differ from place to place Conservation laws in physics
Conservation of energy, momentum, angular momentum, charge, ete are considered
to he fundamental laws in physics. At this moment,there are many such
conservation laws. Apart from
the above four, there are others which mostly deal
with quantities which have been introduced in nuclear and particle physics.
Some of the couserved quantities are called spin, baryou
number, strangeness, hypercharge, etc, but you need
not worry about them.
A conservation law is a hypotheais, based on
observations and experiments. It is important to remember that a conservation
law cannot be proved. It can be verified, or disproved, by
experiments. An experiment whose result ia in
conformity with the law verifies or substantiates the law; it does not prove
the law. On the other hand, a aingle experiment whose result goea
against the law is enough to disprove it.
It would be wrong to ask somebody to prove the law
of conservation of energy. This law is an outcome of our experience over
several centuries,and it has been found to be valid in all experiments, in
mechanics,thermodynamics,electromagnetiam, optics, atomic and nuclear physics,
or any other area.
Some students feel that they can prove the
conservation of mechanical energy fram a body falling under gravity, by adding
the kinetic and potential energies at a point and showing that it
turne out to be constant. As pointed out above,this
is only a verification of the law, not its proof.
because of differing conditions at different
locationa. For example, the acceleration due to gravity at the moon is
one-sixth that at the earth,
but the law of gravitation is the same both on the
moon and the earth.) This symmetry of the laws of nature with respect to
translation in space givea rise to conservation of linear
momentum. In the same way isotropy of space (no
intrinsically preferred direction in space)underlies the law of conservation of
angular momentum’, The conservation laws of charge and
other attributes of elementary particles can also be
related to certain abstract symmetries.Symmetries of space and time and other
abstract symmetrica play a central role in modem theories
of fundamental forces in nature.
SUMMARY
1. Physics deals with the study of the basic laws of
nature and their manifestation in different phenomena. The basic laws of
physics are untvereal and apply in widely different contexts and conditions.
2. The scope of physics ts wide, covering a
tremendous range of magnitude of physical quantities.
3. Physics and technology are related to each other.
Sometimes technology gives rise to new phyaics; at other times physics
generates new technology. Both have direct impact on society.
4, There are four fundamental forces in nature that
govern the diverse phenomena of the macroscopic and the microscopic world.
These are the ‘gravitational force’, the “electromagnetic force’, the ‘strong
nuclear force’, and the ‘weak nuclear force’. Unification of different
forces/domains im nature is a basic quest in physics.
5. The physical quantities that remain unchanged in
a process are called conserved quantities. Some of the general conservation
laws in nature include the laws of conservation of mass, energy, Hnear
momentum, angular momentum, charge, parity,etc. Some conservation laws are true
for one fundamental force but not for the other.
6. Conservation laws have a deep connection with
symmetries of nature. Symmetries of space and time, and other types of
symmetries play a central role in modern theories of fundamental forces in
nature.
EXERCI8ES
Note for the student
The exercises given here are meant to enhance your
awareness about the isaues surrounding acience, technology and society and to
encourage you to think and formulate your views about them. The questions may
not have clear-cut ‘objective’ answers.
Note for the teacher
The exercises given here are not for the purpose of
a formal examination.
1.1 Some of the moet profound statements on the
nature of ecience have come from
Albert Einstein, one of the greatest scientiste of
all time. What do you think did Einstein mean when he said: “The most
incomprehensible thing about the world is that it is comprehensible’?
1.2 “Every great physical theory starts as a heresy
and ends aa a dogma”. Give some examples from the history of science of the
validity of this incisive remark.
1.3 “Politics is the art of the possible”.
Similarly, “Science is the art of the soluble".Explain this beantiful
aphorism on the nature and practice of science.
1.4 Though India now has a large base in science and
technology, which is fast expanding,it is still a long way from realising ite
potential of becoming a world leader in science.Name some important factors,
which in your view have hindered the advancement of
acience in India.
1.5 No phyaiciat has ever “seen” an electron. Yet,
all physicista believe in the exiatence of electrons. An intelligent but
superstitious man advances this analogy to argue that
‘ghosts’ exist even though no one has ‘seen' one.
How will you refute his argument ?
1.6 The shells of crabs found around a particular
coastal location in Japan moatly to resemble the legendary face of a Samurai.
Given below are two explanations of this observed fact. Which of these strikes
you as a scientific explanation ?
(a) A tragic sea accident several centuries ago
drowned a young Samurai. As a tribute to his bravery, nature through ita
inecrutable ways immortalised his face by imprinting it on the crab shells in
that area.
(b) After the sea tragedy, Hshermen in that area, in
a gesture of honour to their dead hero, let free any crab shell caught by them
which accidentally had a shape resembling the face of a Samurai. Consequently,
the particular shape of the crab shell survived longer and therefore in course
of time the shape waa genetically propagated. This is an example of evolution
by artificial selection.
[Note ; This interesting tustration taken from Carl
Sagan's “The Cosmos’ highlights the fact that often strange and inexplicable
facts which on the firat aight appear ‘supernatural actually turn out to have
simple ecientific explanations. Try to think
out other examples of this kind].
1.7 The industrial revolution in England and Western
Europe more than two centuries ago was triggered by some key scientific and
technological advances. What were these advances ?
1.8 It is often said that the world is witnessing
now a second tndustrial revolution, which will transform the society as
radically as did the first. List some key contemporary areas
of science and technology, which are responsible for
this revolution.
1.9 Write m about 1000 words a fiction piece based
on your speculation on the science and technology of the twenty-second century.
1.10 Attempt to formulate your ‘moral’ views on the
practice of aclence. Imagine yourself stumbling upon a discovery, which has
great academic interest but is certain to have
nothing but dangerous consequences for the human
society. How, if at all, will you resolve your dilemma ?
1.11 Science, like any knowledge, can be put to good
or bad use, depending on the user.Gtven below are some of the applications of
science. Formulate your views on whether the particular application is good,
bad or something that cannot be so clearly categorised :
(a) Mass vaccination against small pox to curb and
finally eradicate this disease from the population. (This has already been
succesefully done in India).
(b) = Television for eradication of illiteracy and
for mass communication of news and ideas.
(c) Prenatal determination
(d) Computers for increase m work efficiency
(e) Putting artificial satellites mto orbits around
the Earth
f) Development of nuclear weapons
(g) Development of new and powerful techniques of
chemical] and biological warfare).
h) =Purtfication of water for drinking
i)) «=©Plastic surgery
j) Cloning
1.12 India has had a long and unbroken tradition of
great scholarship — in mathematics,astronomy, linguistics, logic and ethics.
Yet, in parallel with this, several superstitious and obscurantistic attitudes
and practices flourished in our society and unfortunately continue even today —
among many educated people too. How will you use your knowledge of science to
develop strategies to counter these attitudes ?
1.13 Though the law gives women equal status in
India, many people hold unscientific views on a woman's innate nature, capacity
and intelligence, and in practice give them a secondary status and role.
Demolish this view using scientific arguments, and by quoting examples of great
women in science and other spheres; and persuade yourself
and others that, given equal opportunity, women are
on par with men.
1.14 “It ia more fmportant to have beauty in the
equations of physica than to have them agree with experimenta”’. The great
Britiah physicist P. A. M. Dirac held this view.Criticize this statement. Look
out for some equations and results in this book which
atrike you as beautiful.
1.15 Though the statement quoted above may be
disputed, most physicists do have a feeling that the great laws of physics are
at once simple and beautiful. Some of the notable physicists, beaidea Dirac,
who have articulated this feeling, are : Einstein, Bohr,
Heisenberg, Chandrasekhar and Feynman. You are urged
to make special efforts to get acceaa to the general books and writings by
these and other great masters of physica.(See the BibHography at the end of
this book.) Their writings are truly inspiring !
1.16 Textbooks on science may give you a wrong
impression that studying science is dry and all too serious and that scientists
are absent-minded tntroverts who never laugh or grin. This image of aclence and
scientists is patently false. Scientists, like any other group of humans, have
thetr share of humorista, and many have led their lives
with a great sense of fun and adventure, even as
they seriously pursued their scientific work. Two great phyaiciate of this
genre are Gamow and Feynman. You will enjoy reading their books listed in the
Bibliography.