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Physics · Class 11 Science

Ch 1Nature of Physical World and Measurement — Class 11 Physics, concept-first.

Before physics can be introduced as a subject in its own right, it helps to ask a broader question: what is science itself, and where did the impulse to study nature systematically come from?

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Chapter contents

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1.1

Introduction

Before physics can be introduced as a subject in its own right, it helps to ask a broader question: what is science itself, and where did the impulse to study nature systematically come from?

1.2

Physics - Introduction

Physics comes from the Greek phusis, meaning nature -- and true to its name, physics is the attempt to understand nature and natural phenomena in the most basic possible terms.

1.1.1

The Scientific Method

Physics does not proceed by guesswork; it follows a disciplined scientific method -- a repeatable, step-by-step way of turning a raw observation into a tested law. The method has five ingredients:

1.2.1

Branches of Physics

Physics is not one narrow subject but an umbrella over many branches, each opened up at a different point in history and each with its own characteristic scale, method and mathematics.

1.2.2

Scope and Excitement of Physics

Physics stays exciting for two reasons that reinforce each other: the astonishing range it covers, and the unpredictable way its biggest discoveries arrive.

1.3

Physics in Relation to Technology and Society

Technology is physics put to practical use -- applying physical principles to invent products or solve problems. Physics and technology together shape society, directly and indirectly:

1.4

Measurement

Measurement is the comparison of a physical quantity with its standard unit, and it underlies every scientific study.

1.4.1

Definition of Physical Quantity

A physical quantity is anything that can be measured, and in terms of which the laws of physics are stated -- length, mass, time, force, energy, temperature, electric current, and so on.

1.4.2

Types of Physical Quantities

Physical quantities split into exactly two categories:

1.4.3

Definition of Unit and its Types

Measurement is fundamentally an act of comparison. To say a rope is '10 metres long' is to say it is 10 times as long as an object whose length has been defined as 1 metre -- and that reference length…

1.4.4

Different types of Measurement Systems

A system of units is a complete set of units used to measure all fundamental and derived quantities. Historically, mechanics used three different systems, distinguished by which three base units they…

1.4.5

SI Unit System

Since 1960, the internationally agreed system of units has been the International System of Units, or SI (from the French Système International) -- what scientists and engineers everywhere now call si…

1.5

Measurement of Basic Quantities

Defining a unit is only half the story -- physics also needs practical methods for measuring the three most basic mechanical quantities: length, mass and time.

1.5.1

Measurement of length

Length is the distance between any two points in space; its SI unit is the metre. Objects of interest range from the macrocosm (galaxies, stars, planets -- a large world of large objects and large dis…

1.5.2

Measurement of mass

Mass is a property of matter -- the quantity of matter contained in a body -- and, unlike weight, it does not depend on temperature, pressure or the body's location in space.

1.5.3

Measurement of Time intervals

A clock measures a time interval. Historically many kinds of clocks have been used -- electric oscillators, electronic oscillators, solar clocks, quartz-crystal clocks -- but today's atomic standard r…

1.6

Theory of Errors

No measurement is ever perfectly exact -- the result obtained always carries some uncertainty, called error, and any calculation built from that measured value inherits the error too.

1.6.1

Accuracy and Precision

Two words are often used loosely in everyday speech but mean two different things in measurement theory:

1.6.2

Errors in Measurement

The uncertainty in a measurement is called an error; there are three fundamentally different kinds.

1.6.3

Error Analysis

Once repeated readings of a quantity have been taken, the arithmetic mean is treated as the best available estimate of the true value, and four related error measures are built from it.

1.6.4

Propagation of errors

A final experimental result is rarely built from a single measured quantity -- it usually combines several quantities, each measured (possibly with a different instrument, and hence a different error)…

1.7

Significant Figures

The digits reported in a measured (or calculated) value are not all equally trustworthy -- some are known reliably, and exactly one more is a reasonable estimate; the rest are meaningless noise a calc…

1.7.1

Definition and Rules of Significant Figures

The significant figures (or significant digits) of a measured value are the digits known reliably, plus exactly one more digit that is uncertain.

1.7.2

Rounding Off

A calculator's raw output almost always has more digits than the measured data justify -- the result must never be quoted with more significant figures than the least-precise input carried.

1.7.3

Arithmetical Operations with Significant Figures

Significant figures must be tracked correctly through arithmetic, or a calculation can manufacture precision the original data never had. Two different rules apply depending on the operation:

1.8

Dimensional Analysis

Dimensional analysis is the technique of tracking, algebraically, which of the fundamental quantities (and to what power) go into building a derived quantity -- without worrying about the actual numer…

1.8.1

Dimension of Physical Quantities

Every derived physical quantity can be written as some combination of the seven fundamental (base) quantities, called its dimensions, denoted with square brackets: for length, for mass, for time (the…

1.8.2

Dimensional Quantities, Dimensionless Quantities, Principle of Homogeneity

Classifying by dimension. Every physical quantity falls into exactly one of four categories:

1.8.3

Application and Limitations of the Method of Dimensional Analysis

35 Q

Dimensional analysis, built on the principle of homogeneity (1.8.2), has three practical applications -- and five genuine limits on what it can do.

+I. Multiple Choice Questions15 questions
  1. Q1One of the combinations from the fundamental physical constants is $\dfrac{hc}{G}$. The unit of this expression is (a) kg$^2$ (b) m$^3$ (c)…Free
  2. Q2If the error in the measurement of radius is 2%, then the error in the determination of volume of the sphere will be (a) 8% (b) 2% (c) 4% (d…Free
  3. Q3If the length and time period of an oscillating pendulum have errors of 1% and 3% respectively then the error in measurement of acceleration…Free
  4. Q4The length of a body is measured as 3.51 m, if the accuracy is 0.01 mm, then the percentage error in the measurement is (a) 351% (b) 1% (c)…Preview
  5. Q5Which of the following has the highest number of significant figures? (a) 0.007 m$^2$ (b) 2.64 $\times$ 10$^{24}$ kg (c) 0.0006032 m$^2$ (d)…Preview
  6. Q6If $\pi$ = 3.14, then the value of $\pi^2$ is (a) 9.8596 (b) 9.860 (c) 9.86 (d) 9.9Preview
  7. Q7Which of the following pairs of physical quantities have same dimension? (a) force and power (b) torque and energy (c) torque and power (d)…Preview
  8. Q8The dimensional formula of Planck's constant h is [AMU, Main, JEE, NEET] (a) [ML$^2$T$^{-1}$] (b) [ML$^2$T$^{-3}$] (c) [MLT$^{-1}$] (d) [ML$…Preview
  9. Q9The velocity of a particle v at an instant t is given by $v = at + bt^2$. The dimensions of b is (a) [L] (b) [LT$^{-1}$] (c) [LT$^{-2}$] (d)…Preview
  10. Q10The dimensional formula for gravitational constant G is [Related to AIPMT 2004] (a) [ML$^3$T$^{-2}$] (b) [M$^{-1}$L$^3$T$^{-2}$] (c) [M$^{-1…Preview
  11. Q11The density of a material in CGS system of units is 4 g cm$^{-3}$. In a system of units in which unit of length is 10 cm and unit of mass is…Preview
  12. Q12If the force is proportional to square of velocity, then the dimension of proportionality constant is [JEE-2000] (a) [MLT$^0$] (b) [MLT$^{-1…Preview
  13. Q13The dimension of $(\mu_0\varepsilon_0)^{-1/2}$ is [Main AIPMT 2011] (a) length (b) time (c) velocity (d) forcePreview
  14. Q14Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are taken as three fundamental constants. Which…Preview
  15. Q15A length-scale (l) depends on the permittivity ($\varepsilon$) of a dielectric material, Boltzmann constant ($k_B$), the absolute temperatur…Preview
+II. Short Answer Questions5 questions
  1. Q1Briefly explain the types of physical quantities.Free
  2. Q2How will you measure the diameter of the Moon using parallax method?Free
  3. Q3Write the rules for determining significant figures.Preview
  4. Q4What are the limitations of dimensional analysis?Preview
  5. Q5Define precision and accuracy. Explain with one example.Preview
+III. Long Answer Questions5 questions
  1. Q1i) Explain the use of screw gauge and vernier caliper in measuring smaller distances. ii) Write a note on triangulation method and radar met…Free
  2. Q2Explain in detail the various types of errors.Free
  3. Q3What do you mean by propagation of errors? Explain the propagation of errors in addition and multiplication.Preview
  4. Q4Write short notes on the following. a) Unit b) Rounding - off c) Dimensionless quantitiesPreview
  5. Q5Explain the principle of homogeneity of dimensions. What are its uses? Give example.Preview
+IV. Numerical Problems5 questions
  1. Q1In a submarine equipped with sonar, the time delay between the generation of a pulse and its echo after reflection from an enemy submarine i…Free
  2. Q2The radius of the circle is 3.12 m. Calculate the area of the circle with regard to significant figures.Free
  3. Q3Assuming that the frequency $\gamma$ of a vibrating string may depend upon i) applied force (F) ii) length (l) iii) mass per unit length (m)…Preview
  4. Q4Jupiter is at a distance of 824.7 million km from the Earth. Its angular diameter is measured to be 35.72$''$. Calculate the diameter of Jup…Preview
  5. Q5The measurement value of length of a simple pendulum is 20 cm known with 2 mm accuracy. The time for 50 oscillations was measured to be 40 s…Preview
+V. Conceptual Questions5 questions
  1. Q1Why is it convenient to express the distance of stars in terms of light year (or) parsec rather than in km?Free
  2. Q2Show that a screw gauge of pitch 1 mm and 100 divisions is more precise than a vernier caliper with 20 divisions on the sliding scale.Free
  3. Q3If humans were to settle on other planets which of the fundamental quantities will be in trouble? Why?Preview
  4. Q4Having all units in atomic standards is more useful. Explain.Preview
  5. Q5Why dimensional methods are applicable only up to three quantities?Preview
1.9

Summary

Physics is an experimental science, and every measurement must be expressed in units -- a bare number, without a unit, says nothing physical. Every physical quantity has both a magnitude and a unit.

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 26 questions26 questions
  1. Q1Which of the following pairs of physical quantities have the same dimensions ? (a) Torque and Power (b) Force and Torque (c) Force and Power…Preview
  2. Q2Write any two errors of systematic errors. Explain them.Preview
  3. Q3(a) Explain the principle of homogenity of dimensions and derive an expression for the force F acting on a body moving in a circular path de…Preview
  4. Q4If the error in the measurement of radius of a sphere is 2%, then the error in the determination of its volume will be: (a) 8% (b) 2% (c) 4%…Preview
  5. Q5What are fundamental quantities? Give an example.Preview
  6. Q6Write about dimensional variables and dimensionless variables with an example.Preview
  7. Q7(a) (i) What are the applications of dimensional analysis? (ii) Express 76 cm of mercury pressure in terms of Nm^-2 using the method of dime…Preview
  8. Q8If pi = 3.14, then the value of pi^2 is : (a) 9.86 (b) 9.8596 (c) 9.9 (d) 9.860Preview
  9. Q9The Dimensional formula for strain : (a) ML^-2 T^-1 (b) M^0 L^0 T^0 (c) ML^-1 T^-2 (d) M^0 L T^0Preview
  10. Q10(a) (i) Write the applications of the Dimensional Analysis. (ii) Check the correctness of the equation (1/2) m v^2 = mgh using dimensional a…Preview
  11. Q11Round off the number 19.95 into three significant figures. (a) 20.1 (b) 19.9 (c) 19.5 (d) 20.0Preview
  12. Q12Write the rules for determining significant figures.Preview
  13. Q13What is Gross Error ? State the reasons for it and how to minimise the errors.Preview
  14. Q14Two resistances R1 = (100 ± 3) ohm, R2 = (150 ± 2) ohm are connected in series. What is their equivalent resistance? (a) (250 ± 1) ohm (b) (…Preview
  15. Q15If the error in the measurement of radius is 2%, then the error in the determination of volume of the sphere will be: (a) 4% (b) 8% (c) 6% (…Preview
  16. Q16What are the limitations of dimensional analysis?Preview
  17. Q17What are fundamental and derived quantities? Give examples.Preview
  18. Q18(a) Assuming that the frequency gamma of a vibrating string may depend upon (i) applied force (F) (ii) length (l) (iii) mass per unit length…Preview
  19. Q19Which of the following has the dimension of (mu0 epsilon0)^(-1/2)? (a) Velocity (b) Length (c) Force (d) TimePreview
  20. Q20Which of the following pairs of physical quantities have same dimensions? (a) torque and power (b) force and power (c) force and torque (d)…Preview
  21. Q21Check the dimensional correctness of the given physical equation. v = u + atPreview
  22. Q22(a) Explain in detail the various types of errors. **OR** (b) Describe Newton's formula for velocity of sound waves in air and explain the L…Preview
  23. Q23If π = 3.14, then the value of π^2 is: (a) 9.860 (b) 9.9 (c) 9.86 (d) 9.8596Preview
  24. Q24If the error in the measurement of radius is 2%, then the error in the determination of volume of a sphere will be: (a) 4% (b) 8% (c) 6% (d)…Preview
  25. Q25Write any two rules for determining significant figures.Preview
  26. Q26(a) (i) Give the applications of dimensional analysis. (ii) Check the correctness of the equation v^2 = 2gh using dimensional analysis. **OR…Preview