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UNIT 1
Physical Quantities and
Measurement
Q.1.What is science? Write
a brief note on the history of science.
Ans. Science
The knowledge gained
through observations and experimentations is called science. The word science
is derived from the Latin word scientia,which means knowledge.
History of Science
Man has always been
inspired by the wonders of nature. He has always been curious to know the
secrets of nature and remained in search of the truth
and reality. He observes
various phenomena and tries to find their answers by logical reasoning.Until
eighteenth century, various aspect of material objects were studied under a
single subject called natural philosophy. But as the knowledge increased, it
was divided into two main streams;physical sciences — which deal with the study
of non-living things and Biological sciences — which are concerned with the
study of living things.
We can say that science
has made the life of man very easy. Today due to countless inventions of
science we can save our time. We can travel large
distances in minutes or
hours. We can contact with anyone any where in world in seconds.No doubt,
science has lot of benefits but contrary to it science has also many demerits,
like deadly weapons, environmental pollution and road accidents etc.
Q.2. Define physics and
explain relationbetween physics and daily life.
Ans. Physics
Physics is a branch of
science that deals with matter, energy and their relationship.
Physics and our Daily Life
The rapid progress in
science during the recent years has become possible due to the discoveries and
inventions in the field of
physics. The technologies
are the applications of scientific principles. Most of the technologies of our
modern .
society throughout the
world are related to Physics.
For example, a car is made
on the principles of mechanics and a refrigerator is based on the principle of
thermodynamics.
In our daily life, we
hardly find a device where physics is not involved. Consider pulleys that make
it easy to lift heavy loads. Electricity is used
not only to get light and
heat but also mechanical energy that drives fans and electric motors
etc.consider the means of transportation such as cars and
aeroplanes; domestic
appliance such as air-conditioners, refrigerators, vacuum-cleaners, washing
machines, and microwave ovens etc. similarly the means of communication such as
radio, TV, telephone and computer are the result of applications of physics.
These devices have made our lives much easier, faster and more comfortable than
the past. For example, think of what a mobile phone smaller than our palm can
do? It allows us to contact people anywhere in the world and to get latest
worldwide information. We can take and save pictures, send and receive messages
of our friends..We can also receive radio transmission and can use a calculator
as well.
Q.3. Explain
branches of physics;
Ans. Following are the
main branches of physics.
Mechanics
It is the study of motion
of objects, its causes and effects.
Heat
It deals with the nature
of heat, modes of transfer and effects of heat. '
Sound
It deals with the physical
aspects of sound waves, their production, properties and applications.
Light (Optics)
It is the study of
physical aspects of light, its properties, working and use of optical
instruments.
Electricity and Magnetism
It is the study of the
charges at rest and in motion, their effects and their relationship with magnetism.
Atomic Physics
It is the study of the
structure and properties of atoms.
Nuclear Physics
It deals with the
properties and behavior of nuclei and the particles within the nuclei.
Plasma Physics
It is the study of
production, properties of the ionic state of matter — the fourth state of
matter.
Geophysics
It is the study of the
internal structure of the earth.
Q.4 Explain Physical quantities and their
types.
Ans. Physical Quantities
All measurable quantities
are called physical quantities such as length, mass, time, and temperature.
Explanation
A physical quantity
possesses at least two characteristics in common. One is its numerical
magnitude and the other is the unit in which it is measured.
For Example
If the length of a student
is 104 cm then 104 is its numerical magnitude and centimeter is the unit of
measurement. Similarly when a grocer
says, that each bag contains 5 kg 'sugar, he is describing its
numerical magnitude as well as the unit of measurement. It would be meaningless
to state 5 or kg only.
Types of Physical Quantities
Physical quantities are of
two types.
(a) Base quantities
(b) Derived quantities
(a) Base Quantities
There are seven physical
quantities which form the foundation for other physical quantities.These
physical quantities are called the base.quantities.
These are length, mass, time, electric current,
temperature, intensity of light and the amount of a substance.
(b) Derived Quantities
Those physical quantities which
are expressed in terms of base quantities are called the derived quantities.
These include area, volume,speed, 'force,
work, energy, power, electric charge,electric potential, etc.
Q.5. Explain base units and derived
units.Give examples.
Base Units
The units that describe
base quantities are called base units. Each base quantity has its SI unit.
Table shows seven base quantities, their SI unit and their symbols.
Base quantities, their SI
units with symbols
Quantity
|
Unit
|
||
Name
|
Symbol
|
Name
|
Symbol
|
Length
|
1
|
metre
|
m
|
Mass
|
m
|
kilogram kg
|
kg
|
Time
|
T
|
second
|
s
|
Electric Current
|
I
|
ampere
|
A
|
Intensity Of Light
|
L
|
Candela
|
cd
|
Temperature
|
T
|
Kelvin
|
K
|
Amount Of substance
|
n
|
Mole
|
mol
|
Derived Units
The units used to measure
derived quantities are called derived units. Derived units are defined in terms
of base units and are obtained by multiplying
or dividing one or more
base units with each other.The unit of area (metre)2 and the unit of volume
(metre)3 are based on the unit of length, which is
metre. Thus the unit of
length is the base unit while the unit of area and volume are derived units.
Speed is defined as distance covered in unit time; therefore its unit is metre
per second. In the same way the unit of density, force, pressure, power etc.
can be derived using one or more base units. Some derived units and their
symbols are given in the table.
Derived quantities and
their‘SI units with symbols
Quantity
|
Unit
|
||
Name
|
Symbol
|
Name
|
Symbol
|
Speed
|
V
|
Meter per second
|
ms-1
|
Acceleration
|
a
|
Meter per second
|
Ms-2
|
Volume
|
V
|
Cubic meter
|
M3
|
Force
|
F
|
Newton
|
N or (kgm4)
|
Pressure
|
P
|
Pascal
|
Pa or (nm2)
|
Density
|
P
|
Kilogramme per cubic
|
Kgm-3
|
Charge
|
Q
|
Coulomb
|
C or (as-1)
|
Q.6. What are prefixes? Explain it.
Ans. Prefixes
The words or letters added
before a unit and stand for the multiples or sub—multiples of that unit are
known as prefixes. For example, kilo, mega,
milli, micro, etc.
Explanation
Some of the quantities are
either very large or very small. For example, 250,000m, 0.002W and 0.000.002g,
etc. SI units have the advantage'that their
multiples and
sub-multiples can be expressed in terms of prefixes. Prefixes are the words or
letters added before SI units such as kilo, mega, giga and
milli. The prefixes are
useful to express very large or small quantities.
For example, divide 20,000g by 1000 to express
it into kilogram, since kilo represents 103 or 1000. ’
Thus 20,000g =
20,000/1,000 kg = 20 kg
Or 20,000g = 20*103g = 20 kg
However, double prefixes
are not used. For example, no prefix is‘ used with kilogram since it already
contains the prefix kilo. Prefixes given in
Table are used with both
types base and derived units. Let us consider few more examples. Some prefixes
are given below.
Prefix
|
Symbol
|
Multiplier
|
Exa
|
E
|
1018
|
Peta
|
P
|
1015
|
Tera
|
T
|
1012
|
Giga
|
G
|
109
|
Mega
|
M
|
106
|
Kilo
|
K
|
103
|
Hector
|
H
|
102
|
Deca
|
Da
|
101
|
Deci
|
D
|
10-1
|
Centi
|
C
|
10-2
|
Milli
|
M
|
10-3
|
Micro
|
u
|
10-6
|
Nano
|
N
|
10-9
|
Pico
|
P
|
10-12
|
Femto
|
F
|
10-15
|
Atto
|
A
|
10-18
|
Q.7.Define vernier callipers. Explain its construction and working.
Ans. Vernier Callipers
An
instrument used to measure small lengths such as internal or external diameter
or length of a cylinder, etc. is called as vernier calipers. A vernier
calipers
can measure things more accurately than metre rule.
Construction A vernier
calipers consists of two jaws as shown in figure above. One is a fixed jaw with
main scale attached to it. Main scale has centimeter and millimetre marks on
it. The other jaw is a moveable jaw. It has vernier scale having 10 divisions
over it such that each of its division is 0.9 mm.
Least Count.
The different between one small division on
main scale division and one vernier scale division is 0.1 mm. It is called
least count (LC) of the Vernier Calliper.
Least count of the Vernier Callipers
can also be found as given below:
Least count of = smallest reading
on main scale Vernier Callipers / No. of
divisions on vernier scale
=1 mm/10 divisions =
0.1 mm
Hence LC = 0.1 mm = 0.01
Zero Error and Zero Correction.
To find the zero error, close the
jaws of veriner callipers gently. If zero line of the vernier scale coincides
with the zero of the main scale then the zero error will not exist if zero line
of the vernier scale is on the right side of the zero of the main scale will be
negative if zero line of vernier scale is on the left side of zero of the main
scale then zero error will be positive.
Taking a Reading on Vernier Callipers
Place the solid cylinder between
jaws of the Vernier Callipers and close the jaws till they press the opposite
sides of the object gently.
Note the complete divisions of main scale past
the vernier scale zero in a tabular form. Next find the vernier scale division
that is "coinciding with any division on the main scale. Multiply it by
least count, of vernier callipers and add to in the main scale reading. This is
equal to the diameter of the solid cylinder. Add zero correction (Z.C) to get
correct measurement.
Q.No. 8 Define screw gauge
and explain its working and construction.
Ans. Screw Guage A screw
guage is an instrument that is used to measure small lengths with accuracy
greater than a Vernier Calliper. It is also called as micrometer screw gauge.

Construction:
A simple screw gauge consists of a U-shaped
metal frame with a metal stud at its one end. A hollow cylinder (or sleeve) has
a millimeter scale over it along a line called index line parallel to its axis.
The hollow cylinder acts as a nut. It is fixed at the end of U-shaped frame
opposite to the stud. A Thimble has a threaded spindle inside it.
Pitch of Screw Gauge.
As the thimble completes one rotation, the
spindle moves 1 mm along the index line. It is because the distance between
consecutive threads on the spindle is 1 mm. This distance is called the pitch
of screw on the spindle.
Least Count.
Least count of screw gauge is
0.01mm. least count of a screw gauge can be found as given below:
Least count Pitch of the
screw guage/ No. of divisions on circular scale
1 mm/100 = 0.01 mm = 0.001 cm
Working.
(i) First of all place the wire between stud
and spindle of screw gauge.
(ii) Turn the ratchet so that the object is
pressed gently between the stud and spindle.
(iii) Note main scale as
well as circular scale readings to find the diameter of given wire.
(iv) Repeat these steps
three times to get the average diameter of wire.
Zero Error.
To find the zero error, close the gap between
the spindle and the stud of the screw gauge by rotating the ratchet in the
clockNkise direction. If zero of circular scale coincides with the index line,
then the zero error will be zero.
Zero error will be positive if
zero of circular scale is behind the index line. In this case, multiply the
number of divisions of the circular scale that has not crossed the index line
with the least count of screw gauge to find zero error.
Zero error will be negative if zero of
circular scale has crossed the index line. In this case, multiply the number of
divisions of the circular scale that has crossed the index line with the least
count of screw gauge to find the least count of screw gauge to find the negative
zero error.
Q.9. Explain the following physical balance, lever
balance, electronic balance.
Ans.
Physical Balance.
A physical balance is used in
the laboratory to measure the mass of various objects by comparison. It
consists of a beam resting at the center of a fulcrum.
The beam carries scale pans over the hooks on
either side. Unknown mass is placed on the left pan. Find some suitable
standard masses that cause the pointer to remain at zero on raising the beam.
Lever Balance.
A lever balance consists of a
system of levers. When lever is lifted placing the object in one pan and
standard masses on the other pan, the pointer of the lever system moves. The
pointer is brought to zero by varying standard masses.
Electronic Balance.
Electronic balances come in
various ranges; milligram ranges, gram ranges and kilogramme ranges. Before
measuring the mass of a body, it is switched ON and its reading is set to zero.
Next place the object to be weighted. The reading on the balance gives you the
mass of the body placed over it.
Q.10. Write a note on
accuracy of physical balance, beam balance and lever balance.
Ans.
The details given below show the accuracy of
these balance.
(a) Beam Balance.
Let the balance measures coin's
mass = 3.2 g. A sensitive beam balance may be able to detect a change as small
as of 0.1g or 100 mg. (b) Physical Balance.
Let the balance measures coin's mass = 3.24g Least
count of the physical balance may be as small as 0.01g or 10mg. Therefore, its
measurement would be more precise than a sensitive beam balance.
(c) Electronic Balance.
Let
the balance measures coin's mass = 3.247 g Least count of an electronic balance
is 0.001g or lmg. Therefore, its measurement would be more precise than a
sensitive physical balance. Thus electronic balance is the most sensitive
balance in the above balances.
Q.11. What is stop watch
and how to use it?
Ans.
Stop Watch Stop watch is a type of machine
which is used to measure the time interval of an event.
Types.
There are two types of
stop watch.
Mechanical stop watch (ii)
Digital stop watch
A mechanical stopwatch can
measure a time interval up to a minimum 0.1 second.
Digital stopwatches
commonly used in laboratories can measure a
time interval as small as 1/100 second or 0.01 second.
Use of Mechanical Stopwatch.
A mechanical stopwatch has a knob that is used
to wind the spring that powers the watch. It can also be used as a start-stop
and rest button. The watch starts when the knob is pressed once. When pressed
second time, it stops the watch while the third press brings the needle back to
zero position.
Use of Digital Stopwatch.
The digital stopwatch starts to indicate the
time lapsed as the start/stop button is pressed. As soon as start/stop button
is pressed again, it stops and indicates the time interval recorded by it
between start and stop of an event. A rest button restores its initial zero
setting.
Q.12. Explain measuring cylinder and how to use it?
Ans.
Measuring Cylinder.
A measuring cylinder is a glass or transparent
plastic cylinder. It has a scale along its length that indicates the volume in
milliliter (mL). Measuring cylinders have different capacities from 100 mL to
2500 mL. They are used to measure the volume of a liquid or powdered substance.
It is also used to find the volume of an irregular shaped solid insoluble in a
liquid by displacement method. The solid is lowered into a measuring cylinder
containing water/liquid. The level of water/liquid rises. The increase in the
volume of water/liquid is the volume of the given solid object.
How to use a Measuring
Cylinder.
While using a measuring cylinder,
it must be kept vertical on a plane surface. Take a measuring cylinder. Place
it vertically on the table. Pour some water into it. Note that the surface of
water is curved. The meniscus of the most liquid curve downwards while the
meniscus of mercury curves upwards. The correct method to note the level of a
liquid in the cylinder is to keep the eye at the same level as the meniscus of
the liquid.
It is incorrect
to not the liquid level keeping the eye above the level of liquid. When the eye
is above the liquid level, the meniscus appears higher on the scale. Similarly
when the eye is below the liquid level, the meniscus appears lower than actual
height of the liquid.
Measuring Volume of an Irregular Shaped Solid.
Measuring cylinder can be used to
find the volume of a small irregular shaped solid that sinks in water. Let us
find the volume of a small stone. Take some water in a graduated measuring
cylinder. Note the volume Vi of water in the cylinder. Tie the solid with a
thread. Lower the solid into the cylinder till it is fully immersed in water.
Note the volume Vf of water and the solid. Volume of the solid will be
Vf -Vi.
Q.13. Explain significant figures.
Ans. Significant Figures .
All the accurately
known digits and the first doubtful digit in an expression are called
significant figures. It reflects the precision of a measured value of a
physical quantity.
Explanation.
The accuracy in measuring a physical quantity
depends upon various factors:
(i)
The quality of
the measuring instrument .
(ii)
The skill of the
observer.
(iii)
The number of
observations made.
An
improvement in the quality of measurement by using better instrument increases
the significant figures in the measured result. The significant figures are all
the digits that are known accurately and the one estimated digit. More
significant figure means greater precision. The following rules are helpful in
identifying significant figures:
(i) Non-zero digits are
always significant.
(ii) zeros between two
significant figures are also significant.
(iii)Final or ending zeros
on the right in decimal fraction are significant.
(iv) Zeros written on the left side of the
decimal point for the' purpose of spacing the decimal point are not
significant.
(v) In whole numbers that
end in one or more zeros without a decimal point. These zeros may or may not be
significant. In such cases, it is not clear which zeros serve to locate the
position value and which are actually parts of the measurement. In such a case,
express the quantity using scientific notation to find the significant zero.
EXERCISE.
1.1 Encircle the correct
answer from the given choices.
(i) The number of base
units in SI are:
(a) 3 (b) 6 (c) 7 (d) 9
(ii) Which one of the following unit 1s not a
derived unit?
(a) pascal (b) kilogramme
(c) newton (d) watt
(iii) Amount of a substance in terms of
numbers is measured in:
(a)
gram (b). kilogramme (c) newton (d) mole
(iv) An interval of 200pts
is equivalent to:
(a) 0.2 s (b) 0.02 s (c) 2
x l0- s (d) 2 x 10-6 s
(v) Which one of the
following is the smallest quantity? .
(a) 0.01 g f (5) 2 mg (c) 100 pig (d) 5000 mg
(vi) Which instrument is most suitable to
measure the internal diameter of a test tube?
(a) metre rule (b) vernier callipers (c) measuring tap (d)
screw gauge
(vii) A student claimed
the diameter of a wire as 1.032 cm using Vernie'r Callipers. Upto what extent
do you agree with it.
-(a) 1 cm (b) 1.0 cm (c) 1.03 cm ,(d) 1.032 cu
(viii) A measuring
cylinder is used to measure:
(a) mass (b) area (c) volume (d) level of a liquid
(ix) A student noted the thickness of a glass
sheet using a screw gauge. On the main scale, it reads 3 divisions while 8th
division on the circular scale coincides with index line. Its thickness is:
(a) 3.8 cm (c) 3.8 mm
(b) 3.08 mm (d) 3.08 m
(x) Significant figures in
an expression are:
(a) all the digits (b) all the accurately
known digits (c) all the accurately known digits and the first doubtful digit
(d) all the accurately known and all the doubtful digits
Answers
(i)
(c) (ii) (b)
(iii) (d) (iv) (c) (v) (d) (vi) (b) (vii) (c) (viii) (c) (ix) (b) (x) (c)
1.2. What is the
difference between base quantities and derived quantities? Give three examples
of each.
Ans. Base Quantities .
The
seven physical quantities on the basis of which other quantities are expressed
are called base quantities.
e.g. length, mass, time
and temperature etc.
Derive Quantities.
Those quantities that are expressed interm of base
quantities are called derived quantities are called derived quantities .
e.g volume, speed work and
power etc.
1.3.. Pick out the base
units in the following. Joule, Newton, kilogram, hertz, mole, ampere, metre,
Kelvin, coulomb and watt.
Ans. Base Units (i)
kilogram (ii) mole (iii) ampere (iv) metre (v) kelvin
1.4. Find the base
quantities involved in each of the following derived quantities.
(a) speed (b) volume (c) force
(d) work
Ans. (a) Speed : Base
units involved meter and second
(b)Volume: metre(c)
Force : kg, metre, second
(d) Work: kg, metre, second
1.5. Estimate your age in
seconds.
Ans. Use the following formula to convert your
age into seconds.
Age in seconds = years x 365 x 24 x 3600
1.6. What role SI .units have played in the
development of science?
Ans. SI units have played very important role
in the development of science. Particularly this system is very useful to
exchange the scientific and technical information.
1.7. What is meant by vernier constant?
Ans. The difference
between one main scale division and one vernier division is called vernier
constant.
1.8. What do you
understand by the zero error of a measuring instrument?
Ans. If the zero of both
the scales of a given instrument do not conside with each other it means the
given instrument has zero error. So, our measurement will be less or greater
than the correct reading.
1.9. Why is use of zero
error necessary in a measuring instrument?
Ans. In order to get the
correct measurement the use of zero error is necessary.
1.10. What is a stop
watch? What is the least count of a mechanical stopwatch you have used in the
laboratories?
Ans. Stopwatch is an instrument which is used
to measure the time interval of an event. The least count of mechanical stop
watch is 0.1 second.
1.11. Why -do we need' to
measure extremely small interval of time?
Ans. In order to get the
more accurate results we need small interval of times.
1.12. What is meant by
significant figures of a measurement?
Ans. significant figures.
All
the accurately known digits and the first doubtful digit in an expression are
called significant figures. It reflects the precision of a measured value of a
physical quantity.
1.13. What is meter rule?
Answer: A meter rule is a device which is used to
measure length of different objects. A meter rule of length 1m is equal to 100 centimeters (cm). On
meter rule each cm is divided further in to 10 divisions which are called
millimeters (mm). So, a meter rule can measure up to 1mm as smallest reading.
1.14. What is meant by
Least Count?What is meant by least count of meter ruler?
Ans. The "Least
Count" of any measuring equipment is the smallest quantity that can be
measured accurately using that instrument.Thus Least Count indicates the degree
of accuracy of measurement that can be achieved by the measuring instrument.
The least
count is the smallest unit that you can measure on a
measuring device. It also indicates that how much accurate or the maximum
possible errors a measuring instrument can give. The least
count on a meter ruler is 1 millimeters or 0.1 centimeters
All measuring instruments used in physics have a least count.
All measuring instruments used in physics have a least count.
A meter ruler's least count is 0.1 centimeter;
an electronic scale has a least count of 0.001g, although this may vary; a
vernier caliper has a least count of 0.02 millimeters, although this too may
vary; and micrometer screwgauge's least count is 0.01 millimeter and of course
a conventional ruler has .01m.


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