XI - Some Basic Concept © Lotus Valley International School, Gurugram 1 XI - Some Basic Concept © Lotus Valley International School, Gurugram 2 Any substance that has mass and occupies space is called “Matter”. It is made up of small particles called “atoms” that cannot be further divided. This idea was first proposed by the Greek philosopher ‘Democritus’ back in 460 B.C. But due to lack of scientific evidence, Democritus’s ideas were considered mere speculations and ignored for 2000 years until John Dalton proposed the Atomic Theory of Matter in 1808. XI - Some Basic Concept © Lotus Valley International School, Gurugram 3 Dalton proposed that atom is an ultimate particle of an atom. Dalton’s atomic theory was able to explain laws of chemical combinations. However, the Dalton’s theory could not explain the results of experiments conducted by various scientists in 19th and 20th century. XI - Some Basic Concept © Lotus Valley International School, Gurugram 4 Dalton could not explain the result of: 1932 1909 1897 1886 1879 1830 1808 • JAMES CHADWICK: DISCOVERY OF NEUTRON • ROBERT MILLIKAN: CHARGE ON AN ELECTRON • J.J. THOMSON: PROPERTIES OF CATHODE RAYS • EUGEN GOLDSTEIN: DISCOVERY OF ANODE RAYS • WILLIAM CROOKES: CONDUCTION OF ELECTRICITY THROUGH GASES • MICHAEL FARADAY: ELECTRIC NATURE OF MATTER • JOHN DALTON: ATOMIC THEORY OF MATTER XI - Some Basic Concept © Lotus Valley International School, Gurugram 5 Michael Faraday found that when electricity is passed through an electrolyte (solution that conducts electricity) chemical reactions resulting in deposition of matter at the electrodes take place. This experiment proves that electricity consists of charged particles which in turn indicated the electric nature of matter. XI - Some Basic Concept © Lotus Valley International School, Gurugram 6 The structure of an atom was demystified only when William Crookes studied electrical discharge through gases. 1932 1909 1897 1886 1879 1830 1808 • JAMES CHADWICK: DISCOVERY OF NEUTRON • ROBERT MILLIKAN: CHARGE ON AN ELECTRON • J.J. THOMSON: PROPERTIES OF CATHODE RAYS • EUGEN GOLDSTEIN: DISCOVERY OF ANODE RAYS • WILLIAM CROOKES: CONDUCTION OF ELECTRICITY THROUGH GASES • MICHAEL FARADAY: ELECTRIC NATURE OF MATTER • JOHN DALTON: ATOMIC THEORY OF MATTER XI - Some Basic Concept © Lotus Valley International School, Gurugram 7 APPARATUS The apparatus used for his experiment consisted of a glass discharge tube now called Cathode Ray Tube or Crooke’s Tube and a high voltage source of 10,000 Volts. The discharge tube was sealed at both the ends and was fitted with a thin piece of metal called ‘Electrode’ at each end. It had a side tube fitted with a stop cork that connected with a vacuum pump to control the pressure of the gas or the air contained inside the tube. XI - Some Basic Concept © Lotus Valley International School, Gurugram 8 OBSERVATION Crooke observed that at a low pressure of 0.01 atmosphere when high voltage of 10,000 Volts is applied across the electrodes of the discharge tube, current starts flowing inside the tube. XI - Some Basic Concept © Lotus Valley International School, Gurugram 9 To further study the behaviour of this current, he punctured the anode inside the Cathode Ray Tube and coated the glass tube behind the anode with the fluorescent material such as zinc sulphide. And then he repeated the experiment and this time he noticed a bright spot behind the anode. XI - Some Basic Concept © Lotus Valley International School, Gurugram 10 This confirmed two things: • The current consisted of invisible particles some of which could pass through perforated anode • These rays were emitted out of the cathode and moved towards the anode. THESE RAYS WERE NAMED CATHODE RAYS XI - Some Basic Concept © Lotus Valley International School, Gurugram 11 Some other facts regarding cathode rays were discovered by J.J. Thomson and other scientists through series of experiments 1932 1909 1897 1886 1879 1830 1808 • JAMES CHADWICK: DISCOVERY OF NEUTRON • ROBERT MILLIKAN: CHARGE ON AN ELECTRON • J.J. THOMSON: PROPERTIES OF CATHODE RAYS • EUGEN GOLDSTEIN: DISCOVERY OF ANODE RAYS • WILLIAM CROOKES: CONDUCTION OF ELECTRICITY THROUGH GASES • MICHAEL FARADAY: ELECTRIC NATURE OF MATTER • JOHN DALTON: ATOMIC THEORY OF MATTER XI - Some Basic Concept © Lotus Valley International School, Gurugram 12 EXPERIMENT NO. 1 If the pin wheel is placed in the path of cathode rays, the ray caused the pin wheel to rotate. This implied that cathode rays are made up of material particles that produce a mechanical effect. XI - Some Basic Concept © Lotus Valley International School, Gurugram 13 EXPERIMENT NO. 2 If a metal foil is placed in the path of cathode rays, it becomes hot. This implied that cathode ray produced a heating effect. XI - Some Basic Concept © Lotus Valley International School, Gurugram 14 EXPERIMENT NO. 3 If a solid object is placed in the path of cathode ray, it produced a sharp shadow of the object. Therefore, he concluded that cathode ray travel in a straight line XI - Some Basic Concept © Lotus Valley International School, Gurugram 15 EXPERIMENT NO. 4 When he applied the electric field to the set up, the cathode ray deflected towards the positive plate of the electric field. XI - Some Basic Concept © Lotus Valley International School, Gurugram 16 EXPERIMENT NO. 5 He observed the same result on applying the magnetic field. XI - Some Basic Concept © Lotus Valley International School, Gurugram 17 Therefore, he concluded that the cathode ray consisted of negatively charged particles, which he named electrons. XI - Some Basic Concept © Lotus Valley International School, Gurugram 18 EXPERIMENT NO. 6 Through his experiments, Thomson also concluded that the properties of cathode ray do not depend upon • the material of electrodes and • the nature of the gas present in the cathode ray tube. This led him to the conclusion that the electrons are the basic constituents of all atoms. XI - Some Basic Concept © Lotus Valley International School, Gurugram 19 EXPERIMENT NO. 7 Thomson then tried to calculate the charge to mass ratio of electrons by applying electric and magnetic field perpendicular to each other as well as to the path of electrons flowing in a cathode ray tube. Electric field XI - Some Basic Concept Magnetic Field © Lotus Valley International School, Gurugram 20 He observed that the amount of deviation of the electrons from their path depends on three main factors: • The magnitude of the negative charge on the particle: the more the negative charge, the greater the deflection • The mass of the particle: the lighter the particle, the greater the deflection • The strength of the electrical and magnetic field: the stronger the field, the higher the deflection XI - Some Basic Concept © Lotus Valley International School, Gurugram 21 When only electric field is applied, the electrons deviate from their path and hit the cathode ray tube at point A. Similarly when only magnetic field is applied, electrons strike the cathode ray tube at point C. XI - Some Basic Concept © Lotus Valley International School, Gurugram 22 By controlling the deviation of electrons, by varying the strength of electric and magnetic field and accurately measuring the amount of resultant deflection, he calculated the charge to mass ratio of an electron which equals 1.758820 × 1011 C Kg-1 c/m = 1.758820 × 1011 C Kg-1 XI - Some Basic Concept © Lotus Valley International School, Gurugram 23 Modern Cathode Ray Tubes Television Computer Monitor Cathode ray tubes pass electricity through a gas that is contained at a very low pressure. XI - Some Basic Concept © Lotus Valley International School, Gurugram 24 However, till then the charge and mass of an electron remain unknown. Then Robert Milliken devised a method to calculate these. 1932 1909 1897 1886 1879 1830 1808 • JAMES CHADWICK: DISCOVERY OF NEUTRON • ROBERT MILLIKAN: CHARGE ON AN ELECTRON • J.J. THOMSON: PROPERTIES OF CATHODE RAYS • EUGEN GOLDSTEIN: DISCOVERY OF ANODE RAYS • WILLIAM CROOKES: CONDUCTION OF ELECTRICITY THROUGH GASES • MICHAEL FARADAY: ELECTRIC NATURE OF MATTER • JOHN DALTON: ATOMIC THEORY OF MATTER XI - Some Basic Concept © Lotus Valley International School, Gurugram 25 APPARATUS • Transparent electrical condenser with one metal plate at the top and the bottom of the chamber. • Plates connected to a battery such that the upper plate is positively charged and the lower plate is negatively charged. • An atomiser to spray oil into the condenser through a hole in the upper metal plate. • A telescope to view the movement of oil droplets • Source of X-Ray to ionise the air inside the electrical condenser. XI - Some Basic Concept © Lotus Valley International School, Gurugram 26 STEP 1 Using the atomiser, Milliken sprayed oil droplets into the electrical condenser. As the droplets fell through A the upper plate hole he measured the rate of fall and used it to calculate their mass. XI - Some Basic Concept © Lotus Valley International School, Gurugram 27 STEP 2 • He then ionised the air inside the condenser by passing the beam of X-Rays through it. • The X-Rays displaced electrons from the air molecules which negatively charged the oil droplets. XI - Some Basic Concept © Lotus Valley International School, Gurugram 28 On applying voltage to the upper part of the plate, charged oil droplets got attracted towards it against all gravitational and electrostatic forces. XI - Some Basic Concept © Lotus Valley International School, Gurugram 29 Milliken then varied the voltage to strike a balance between the acting forces and to make oil drops stationery. He then calculated the charge on the droplet from the mass of an oil droplet and the charge on the plate. XI - Some Basic Concept © Lotus Valley International School, Gurugram 30 He found that the magnitude of electrical charge ‘Q’ on the droplets is always an integral multiple of the electrical charge ‘e’ i.e. Q = ne Knowing the values of Q and n, Milliken calculated charge on an electron XI - Some Basic Concept © Lotus Valley International School, Gurugram 31 XI - Some Basic Concept © Lotus Valley International School, Gurugram 32 The mass of an electron me was then determined by combining the results of Milliken’s Oil Drop Experiment and Thomson’s value of e/m ratio XI - Some Basic Concept © Lotus Valley International School, Gurugram 33 Just like the discovery of cathode rays led to the discovery of negatively charged particles, electrons, the discovery of anode rays led to the discovery of positively charged particles called protons. XI - Some Basic Concept © Lotus Valley International School, Gurugram 34 Anode rays, also called Canal Rays were discovered by 1932 1909 1897 1886 1879 1830 1808 • JAMES CHADWICK: DISCOVERY OF NEUTRON • ROBERT MILLIKAN: CHARGE ON AN ELECTRON • J.J. THOMSON: PROPERTIES OF CATHODE RAYS • EUGEN GOLDSTEIN: DISCOVERY OF ANODE RAYS • WILLIAM CROOKES: CONDUCTION OF ELECTRICITY THROUGH GASES • MICHAEL FARADAY: ELECTRIC NATURE OF MATTER • JOHN DALTON: ATOMIC THEORY OF MATTER XI - Some Basic Concept © Lotus Valley International School, Gurugram 35 When E. Goldstein repeated the cathode ray experiment conducted by Crooke’s with the perforated cathode instead of a perforated anode. He observed that the discharge tube containing perforated cathode also emit a glow at the cathode end. XI - Some Basic Concept © Lotus Valley International School, Gurugram 36 Goldstein concluded that in addition to the already known cathode rays, there is another ray that travels in a opposite direction. Since these rays passed through the holes or canals in the cathode, he called them canal rays. They consisted of positive ions whose charge and mass values depended on the gas inside the discharge tube. XI - Some Basic Concept © Lotus Valley International School, Gurugram 37 Hydrogen gas produced the smallest and the lightest positive ions with a magnitude of charge same as that of the electron but with a positive charge and mass that was found to the similar to that of a hydrogen atom. XI - Some Basic Concept © Lotus Valley International School, Gurugram 38 The mass of the positive particle originating from other gases in the discharge tube was found to be whole number multiples of the mass of those originating from hydrogen gas. XI - Some Basic Concept © Lotus Valley International School, Gurugram 39 Therefore, the positive particles from hydrogen gas carrying one positive charge and mass equivalent to a hydrogen atom were taken as the fundamental particle of any atom and were named as protons XI - Some Basic Concept © Lotus Valley International School, Gurugram 40 By 1913 after performing a considerable amount of research on the charge and mass of negative and positive sub-atomic particles, scientists tried calculating the atomic mass. It was determined that the atomic number of an element is equal to the number of protons present in its nucleus. XI - Some Basic Concept © Lotus Valley International School, Gurugram 41 It was thought that since each proton has one unit mass, on the atomic scale the mass of an atom must be the number of protons present in the nucleus as electrons have negligible mass. However, it was discovered that the mass of all protons in an atom put together is much less than the actual mass of an atom. XI - Some Basic Concept © Lotus Valley International School, Gurugram 42 It was thus concluded that the excess mass was due to the presence of another particle present in an atom that has considerable mass but no charge XI - Some Basic Concept © Lotus Valley International School, Gurugram 43 Presence of heavy neutral particles through a series of scattering experiments 1932 1909 1897 1886 1879 1830 1808 • JAMES CHADWICK: DISCOVERY OF NEUTRON • ROBERT MILLIKAN: CHARGE ON AN ELECTRON • J.J. THOMSON: PROPERTIES OF CATHODE RAYS • EUGEN GOLDSTEIN: DISCOVERY OF ANODE RAYS • WILLIAM CROOKES: CONDUCTION OF ELECTRICITY THROUGH GASES • MICHAEL FARADAY: ELECTRIC NATURE OF MATTER • JOHN DALTON: ATOMIC THEORY OF MATTER XI - Some Basic Concept © Lotus Valley International School, Gurugram 44 In one of his experiments, on bombarding the Beryllium plate with alpha particles, he observed the emission of neutral particle whose mass was equivalent to that of a proton. XI - Some Basic Concept © Lotus Valley International School, Gurugram 45 DISCOVERY OF NEUTRON He named this particle as “Neutron” After all the sub-atomic particles were discovered, it was concluded that an atom is made up of protons or positively charged particles, electrons or negatively charged particles and neutrons that are neutral particles. XI - Some Basic Concept © Lotus Valley International School, Gurugram 46 SUMARRY OF PROPERTIES OF SUB-ATOMIC PARTICLES XI - Some Basic Concept © Lotus Valley International School, Gurugram 47 STRUCTURE OF ATOM XI - Some Basic Concept © Lotus Valley International School, Gurugram 48 Through various experiments it was established that an atom consists of subatomic particles such as protons, electrons and neutrons. XI - Some Basic Concept © Lotus Valley International School, Gurugram 49 Now let us look at the arrangement of these subatomic particles in an atom different models were proposed to explain the distribution of subatomic particles in an atom. Of all these models, the models proposed by J.J. Thompson and Ernest Rutherford out of great significance as they paved the way for modern structure of an atom. XI - Some Basic Concept © Lotus Valley International School, Gurugram 50 Thompson's Atomic Model J.J. Thompson in 1898 proposed the atomic model called Thompson's atomic model soon after the discovery of Electrons. According to this model an atom is a sphere of radius 10-10 m with uniform distribution of mass and positive charge with negatively charged particles called electrons embedded in it. In this model the negatively charged particles that are embedded in evenly spread positive charge can be visualized as plums or raisins or seams that are embedded in the pudding or watermelon therefore this model is also called plum pudding/raisin pudding or watermelon model. XI - Some Basic Concept © Lotus Valley International School, Gurugram 51 This model successfully explained the overall neutrality of the atom. XI - Some Basic Concept © Lotus Valley International School, Gurugram 52 DRAWBACKS ✓ It could not explain the results of the scattering experiment conducted by Ernest Rutherford. ✓ Also it couldn't explain the stability of an atom that is how the positively charged particles are shielded from the negatively charged particles without getting neutralized. XI - Some Basic Concept © Lotus Valley International School, Gurugram 53 In order to validate Thompson's atomic model in 1911 Rutherford and his students Hans Geiger and Ernest Marsden conducted an experiment called the Gold foil experiment or Alpha particle scattering experiment. XI - Some Basic Concept © Lotus Valley International School, Gurugram 54 Before we proceed to alpha particle scattering experiment, let us acquaint ourselves with the term alpha particle, its source, other particles emitted from the same source and the few characteristics. XI - Some Basic Concept © Lotus Valley International School, Gurugram 55 We know that certain elements emit radiation on their own and this phenomenon is called radioactivity and the elements are radioactive elements. The Alpha rays are emitted by these radioactive elements along with beta and gamma rays. XI - Some Basic Concept © Lotus Valley International School, Gurugram 56 ALPHA RAYS Alpha rays consist of high-energy particles carrying two units of positive charge and four units of atomic mass hence these particles are di positive helium nuclei. XI - Some Basic Concept BETA RAYS The beta rays are negatively charged particles similar to electrons. GAMMA RAYS The gamma rays are high energy radiations like x-rays. Unlike alpha and beta rays gamma rays do not contain particles and are neutral in nature. © Lotus Valley International School, Gurugram 57 The alpha particles have the least penetrating power among the three. The penetrating power of beta particles is nearly 100 times and the penetrating power of gamma rays is 1,000 times more than that of the alpha particles. XI - Some Basic Concept © Lotus Valley International School, Gurugram 58 Alpha particle scattering experiment In this experiment a stream of high-energy alpha particles from a radioactive source was bombarded on a very thin gold foil. The thin gold foil had a circular fluorescent zinc sulphide screen around it. Whenever alpha particles struck the zinc sulphide screen a tiny flash of light was produced at that point. XI - Some Basic Concept © Lotus Valley International School, Gurugram 59 If Thompson's model is correct then all the alpha particles should pass through the gold foil almost undeflected. This is because the entire mass and positive charge is uniformly spread throughout an atom. However the observations are quite contrary to these expectations. XI - Some Basic Concept © Lotus Valley International School, Gurugram 60 OBSERVATIONS The following were the unexpected observations made in this experiment: ✓ Most of the alpha particles passed through the gold foil undeflected. ✓ A small fraction of the alpha particles were deflected by small angles. ✓ A few alpha particles were deflected by large angles ✓ A very little amount of alpha particles, one in 20,000 were bounced back to the source i.e. nearly by 180 degrees. XI - Some Basic Concept © Lotus Valley International School, Gurugram 61 INTERPRETATION Based on these observations, Rutherford concluded: ✓ As most of the alpha particles passed undeflected, most of the space inside the atom is empty. ✓ Only a small number of deflected particles suggested that the positive charge of the atom is not spread throughout the atom as Thompson had presumed rather it is concentrated at the center in a very small volume. ✓ The alpha particles that are deflected by larger angles and by 180 degrees indicated that the atom has a dense positive charge with entire mass concentrated at the center. As the alpha particles approach much nearer to the massive positively charged center they get deflected by larger angles and as they directly hit the massive positively charged center they get deflected nearly by 180 degrees. It is due to the increase in enormous repulsive forces from the massive positively charged center. XI - Some Basic Concept © Lotus Valley International School, Gurugram 62 Rutherford named the positively-charged center present in an atom as nucleus. Calculation by Rutherford showed that the volume of the nucleus is negligible as compared to the total volume of the atom. For an atom of radius 10-10 meter, the radius of the nucleus is about 10-15 meter. That means if a cricket ball represents a nucleus, the radius of the atom would be about five kilometres. XI - Some Basic Concept © Lotus Valley International School, Gurugram 63 Based on the observations and conclusions of the gold foil experiment, Rutherford proposed a new atomic model called Rutherford's nuclear model of atom immediately after the discovery of protons. According to the Rutherford’s nuclear model of atom, atom consists of a tiny dense positively charged center called Nucleus. Entire positive charge and most of the atomic mass of an atom is concentrated in the nucleus. Electrons are found outside the nucleus. They revolve around the nucleus with high velocities and circular parts so as to counterbalance the electrostatic forces of attraction between the protons and electrons. XI - Some Basic Concept © Lotus Valley International School, Gurugram 64 Electrostatic forces of attraction hold the electrons and the nucleus together in an atom. As electrons move in circular paths around the nucleus just like planets revolve around the Sun in the solar system, Rutherford's atomic model is also called Planetary model. XI - Some Basic Concept © Lotus Valley International School, Gurugram 65 Rutherford's model could account for the presence of nucleus and electrons outside the nucleus. However it failed to explain the stability of the atom. XI - Some Basic Concept © Lotus Valley International School, Gurugram 66 According to the Maxwell's theory of electromagnetic radiation, a charged particle in circular motion, emits energy continuously. Hence an electron revolving round nucleus also loses energy. As a consequence of this, the electron follows the spiral path towards the nucleus and this ultimately results in collapse of an atom XI - Some Basic Concept © Lotus Valley International School, Gurugram 67 STRUCTURE OF ATOM XI - Some Basic Concept © Lotus Valley International School, Gurugram 68 ISOTOPES AND ISOBARS XI - Some Basic Concept © Lotus Valley International School, Gurugram 69 XI - Some Basic Concept © Lotus Valley International School, Gurugram 70 Atoms of the same element may have the same number of protons that is the atomic number but may have different numbers of neutrons. In other words the atoms have the same atomic number but different mass numbers, such atoms are called isotopes. XI - Some Basic Concept © Lotus Valley International School, Gurugram 71 Isotopes of the same element occupy the same place in the periodic table because they have the same atomic number. XI - Some Basic Concept © Lotus Valley International School, Gurugram 72 EXAMPLES OF ISOTOPES XI - Some Basic Concept © Lotus Valley International School, Gurugram 73 XI - Some Basic Concept © Lotus Valley International School, Gurugram 74 The chemical properties of an element depend on the number of electrons present and their configuration within an atom and not on the number of neutrons. Hence as the isotopes have the same number of electrons they exhibit similar chemical properties. However as the mass of isotopes differ due to the different numbers of neutrons present in an atom their physical properties differ from each other XI - Some Basic Concept © Lotus Valley International School, Gurugram 75 Atoms of different elements having different atomic numbers but the same mass numbers are called Isobars. Isobars have different chemical properties because they have different atomic Numbers. XI - Some Basic Concept © Lotus Valley International School, Gurugram 76 EXAMPLES OF ISOBARS XI - Some Basic Concept © Lotus Valley International School, Gurugram 77 ISOTONES Isotone, any of two or more species of atoms or nuclei that have the same number of neutrons. XI - Some Basic Concept © Lotus Valley International School, Gurugram 78 Questions Que1 Which of the following conclusions could not be derived from Rutherford’s α-particle scattering experiment? (a) Most of the space in the atom is empty (c) Electrons move in a circular path of fixed energy called orbits Que2 (b) The radius of the atom is about 10–10 m while that of nucleus is 10–15 (d) Electrons and the nucleus are held together by electrostatic forces of attraction. Which one of the following pairs constitutes isotones? (a) 6C 13 and 6C14 (b) 6C 13 and 7N14 (c) 14 7N and 9C19 (d) 14 7N and 7N15 Ques 1 (c) XI - Some Basic Concept Ques 2 (b) © Lotus Valley International School, Gurugram 79 NCERT Exercise: 2.1 (i) Calculate the number of electrons which will together weigh one gram. (ii) Calculate the mass and charge of one mole of electrons. Ans. (i) (ii) 2.2 1.098 × 1027 mass = 5.486 x 10-7 kg charge = 9.65 × 104 C (i) Calculate the total number of electrons present in one mole of methane. (ii) Find (a) the total number and (b) the total mass of neutrons in 7 mg of 14C. (Assume that mass of a neutron = 1.675 × 10–27 kg). (i) 6.022 × 1024 (ii) (a) 2.4092 × 1021 XI - Some Basic Concept (b) 4.0352 × 10–6 kg © Lotus Valley International School, Gurugram 80 NCERT Exercise: 2.4 Write the complete symbol for the atom with the given atomic number (Z) and atomic mass (A) (i) Z = 17 , A = 35 (ii) Z = 92 , A = 233 (iii) Z= 4, A= 9 Ans. (i) 2.22 Which of the following are isoelectronic species i.e., those having the same number of electrons? Na+, K+, Mg2+, Ca2+, S2–, Ar Ans. XI - Some Basic Concept (ii) (i) Na+ , Mg2+ (iii) (ii) K+ , Ca2+ ,S2–, Ar © Lotus Valley International School, Gurugram 81 NCERT Exercise: 2.40 In Rutherford’s experiment, generally the thin foil of heavy atoms, like gold, platinum etc. have been used to be bombarded by the α-particles. If the thin foil of light atoms like aluminium etc. is used, what difference would be observed from the above results ? A thin foil of lighter atoms will not give the same results as given with the foil of heavier atoms. Lighter atoms would be able to carry very little positive charge. Hence, they will not cause enough deflection of αparticles (positively charged). XI - Some Basic Concept © Lotus Valley International School, Gurugram 82 Limitation of Rutherford’ s model: Charged Particle XI - Some Basic Concept Accelerated motion Radiate/ loose energy © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 83 DRAWBACKS OF RUTHERFORD MODEL XI - Some Basic Concept © Lotus Valley International School, Gurugram 84 PREDICTED OBSERVED As the electron is emitting the energy continuously the spectra of such an atom also should be continuous but the spectra of elements indicate that atoms emit energy discontinuously and hence the Rutherford atomic model couldn't explain the observed spectra of atoms. XI - Some Basic Concept © Lotus Valley International School, Gurugram 85 XI - Some Basic Concept © Lotus Valley International School, Gurugram 86 These drawbacks inspired several scientists to revisit the historical results about the behaviour of electromagnetic radiation and its interaction with matter in order to improve the Rutherford’s atomic model XI - Some Basic Concept © Lotus Valley International School, Gurugram 87 The improvised outcome of the Rutherford’s atomic model is the Bohr's atomic model. Bohr's theory could successfully explain the stability of an atom as well as the discontinuous spectra for hydrogen atom to understand the Bohr's atomic model. XI - Some Basic Concept © Lotus Valley International School, Gurugram 88 Thank You XI - Some Basic Concept © Lotus Valley International School, Gurugram 89 Atomic Structure XI - Some Basic Concept © Lotus Valley International School, Gurugram 90 Electromagnetic Waves Energy can be transmitted through space by electromagnetic radiations. These electromagnetic radiations are the best describe in the terminology of waves. Let's now understand the general characteristics of waves an object produces a series of waves, when it vibrates continuously. XI - Some Basic Concept © Lotus Valley International School, Gurugram 91 However the vibratory motion of charged particles like electrons produce a wave train of oscillating electrical field and magnetic field, such waves which are produced due to the periodic motion of charged particles such as electrons are called electromagnetic waves. XI - Some Basic Concept © Lotus Valley International School, Gurugram 92 Electromagnetic Wave Theory Electromagnetic Wave Theory/ classical theory/ Maxwell’s theory/ Wave nature of light • Given by James Clark Maxwell (1870) • Light is a wave; electromagnetic wave (EMW) • When a charged particle, undergoes periodic motion, it produces electromagnetic waves. • EMW has alternating electric and magnetic fields XI - Some Basic Concept © Lotus Valley International School, Gurugram 93 Electromagnetic Wave Theory Features: 1) EMW consist of electric and magnetic fields oscillating perpendicular to each other and both are perpendicular to the direction of propagation of radiation. 2) EMW do not require any medium for propagation. 3) All EMW travel with speed of light (i.e. 3.0 × 108 m sec–1). 4) There are many types of electromagnetic waves (spectrum). XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 94 Electromagnetic Wave Theory 1) EMW consist of electric and magnetic fields oscillating perpendicular to each other and both are perpendicular to the direction of propagation of radiation. XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 95 XI - Some Basic Concept © Lotus Valley International School, Gurugram 96 Characteristics of EMW(5): Wavelength wave Frequency Velocity/speed Amplitude Wave number XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 97 Characteristics of EMW: Wave length (λ): • It is the distance between two neighbouring crests or troughs of the wave. • It is denoted by Greek letter Lambda (λ) and is measured in Angstrom (Å) or nanometre (nm). • 10-10 m = 1 Angstrom or 1 m = 1010 Å XI - Some Basic Concept 1 centi meter 10-2 m 1 Milli-meters 10-3 m 1 micro-meter 10-6 m 1 nano-meter 10-9 m 1 Angstrom 10-10 m Picometer 10-12 m Fermi 10-15 m © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 98 Characteristics of EMW: Frequency (ν): Frequency = 1 Time period • It is defined as the number of waves which pass through a given point in one second. • It is denoted by Greek letter nu (ν) and is expressed in units of cycles per second (cps) or Hertz (Hz). XI - Some Basic Concept © Lotus Valley International School, Gurugram 99 Characteristics of EMW: Velocity/speed: • The distance travelled by a wave in one second is called velocity of the wave. It is denoted by letter c. • All EMW travel with speed of light (i.e. 3.0 × 108 m sec–1). XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 100 Characteristics of EMW: Amplitude (a): It represent the height of the crest or depth of the trough of a wave. It is denoted by the letter ‘a’ and determines the intensity or brightness of radiation. XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 101 Characteristics of EMW: Wavenumber: It is the number of waves per unit distance. It is denoted by the letter ν and determines the intensity or brightness of radiation. XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 102 XI - Some Basic Concept © Lotus Valley International School, Gurugram 103 XI - Some Basic Concept © Lotus Valley International School, Gurugram 104 Formulae from Wave theory: Relationship between velocity, wave length and frequency of a wave Frequency(ν) ∝ 1 Wavelength (λ) Frequency(ν) = Velocity of light (c) Wavelength (λ) Wavenumber = 1 Wavelength (λ) XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 105 TIME PERIOD A time period (denoted by 'T' ) is the time taken for one complete cycle of vibration to pass a given point. As the frequency of a wave increases, the time period of the wave decreases. The unit for time period is 'seconds'. XI - Some Basic Concept © Lotus Valley International School, Gurugram 106 NCERT Exercise: 2.5 Yellow light emitted from a sodium lamp has a wavelength (λ) of 580 nm. Calculate the frequency (ν) and wavenumber of the yellow light. Frequency = 5.17 x 1014 Hz Wave number = 1.72 x 106 m-1 XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 107 NCERT Exercise: 2.7 Calculate the wavelength, frequency and wavenumber of a light wave whose period is 2.0 × 10–10 s. Frequency = 1 Time period Wavelength = 6 x 10-2 m, Frequency = 5 x 109 Hz Wave number = 16.66 m-1 XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 108 Electromagnetic spectrum: The complete range of electromagnetic waves is called electromagnetic spectrum. Frequency(ν) ∝ XI - Some Basic Concept 1/Wavelength (λ) © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 109 Electromagnetic spectrum: XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 110 Limitations of Electromagnetic wave theory : Electromagnetic wave theory successfully explained the properties of light such as interference and diffraction but it could not explain 1. The phenomenon of black body radiations. 2. Photoelectric Effect. XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 111 Thank You XI - Some Basic Concept © Lotus International School, Gurugram © Lotus ValleyValley International School, Gurugram 112 Atomic Structure XI - Some Basic Concept © Lotus Valley International School, Gurugram 113 The wave nature of electromagnetic radiation successfully explains the phenomena of Interference and Diffraction. XI - Some Basic Concept © Lotus Valley International School, Gurugram 114 Limitations of Electromagnetic wave theory : But the phenomenon of blackbody radiation, photoelectric effect and the spectra of atoms were not explained. XI - Some Basic Concept © Lotus Valley International School, Gurugram 115 These things could be explained only if the radiation is assumed to be a stream of photons i.e. by considering particle nature. XI - Some Basic Concept © Lotus Valley International School, Gurugram 116 First let us understand the phenomena of the blackbody radiation which was given by Max Planck in 1900. In general when radiation strikes any surface of the body part of it is reflected part of it is absorbed and part of it is transmitted. XI - Some Basic Concept © Lotus Valley International School, Gurugram 117 For example: when an iron rod is heated at first it turns red, as the temperature is further increased it becomes yellow then white and finally turns blue. This actually shows that the radiation is emitted in the order of increasing frequency. Red light being of lower frequency and blue light being of higher frequency of visible region. XI - Some Basic Concept © Lotus Valley International School, Gurugram 118 On the contrary an ideal blackbody is a perfect absorber and emitter of radiation. A blackened metallic surface or a hollow sphere blackened insight with a small opening behaves almost as a blackbody any type of radiation that enters this small opening gets reflected multiple times within the sphere until all the energy is absorbed. Thus, a blackbody is not only a perfect absorber of radiant energy but also a perfect radiator. Black body radiates a maximum amount of energy at a given temperature. Note that it radiates the same amount of energy it has absorbed. XI - Some Basic Concept © Lotus Valley International School, Gurugram 119 From the graph shown here it is visible that at a given temperature, the intensity of radiation emitted increases with decrease in wavelength, reaches a maximum value at a particular wavelength and then starts decreasing with further decrease in wavelength. We have seen that as a given temperature, wavelength at which the maximum intensity of radiation is emitted but the position of this maximum intensity shifts towards higher wavelengths with decrease in temperature. These observations could not be explained by the Electromagnetic wave theory of light. XI - Some Basic Concept © Lotus Valley International School, Gurugram 120 To account for these experimental observations, Max Planck in 1900 gave Planck’s Quantum Theory. XI - Some Basic Concept © Lotus Valley International School, Gurugram 121 He proposed that radiant energy is emitted or absorbed discontinuously in the form of discrete packets or bundles of energy and not continuously. XI - Some Basic Concept © Lotus Valley International School, Gurugram 122 Planck called these discrete quantities or packets as quanta. Quantum is the smallest quantity of energy absorbed or emitted in the form of electromagnetic radiation. XI - Some Basic Concept © Lotus Valley International School, Gurugram 123 This means that the light radiations absorbed or emitted by atoms all molecules comprise a stream of quanta but not continuous waves as shown. XI - Some Basic Concept © Lotus Valley International School, Gurugram 124 XI - Some Basic Concept © Lotus Valley International School, Gurugram 125 XI - Some Basic Concept © Lotus Valley International School, Gurugram 126 XI - Some Basic Concept © Lotus Valley International School, Gurugram 127 Thank You XI - Some Basic Concept © Lotus Valley International School, Gurugram 128 CHAPTER 2 [ PART-I ] Structure Of Atom XI - Some Basic Concept © Lotus Valley International School, Gurugram 129 Photoelectric Effect : Photoelectric effect, may be defined as the phenomenon of instant ejection of electrons from the surface of metal when light of particular frequency/wavelength strikes it. XI - Some Basic Concept © Lotus Valley International School, Gurugram 130 Heinrich Rudolf Hertz studied two parameters closely: 1. Frequency of Light : related to colour of light 2. Intensity of Light : related to brightness XI - Some Basic Concept © Lotus Valley International School, Gurugram 131 Threshold frequency is defined as the minimum frequency of light which causes electrons to be emitted from a metal surface. If no electrons are ejected, this means that the frequency of the light is less than the threshold frequency. XI - Some Basic Concept © Lotus Valley International School, Gurugram 132 EFFECT OF INTENSITY XI - Some Basic Concept © Lotus Valley International School, Gurugram 133 Properties of K.E. of photoelectrons K.E. Of Photoelectrons ❖ K.E. of photoelectrons is independent of the intensity of radiations. K.E. Constant Intensity of Incident Radiation (with constant Frequency) XI - Some Basic Concept © Lotus Valley International School, Gurugram 134 Properties of K.E. of photoelectrons K.E. Of Photoelectrons ❖ Number of ejected electrons ∝ intensity of incident light. ❖ K.E. of photoelectrons ∝ frequency of incident light. Slope = h ν0 Frequency of Absorbed Photons ❖ This effect supports the particle nature of light as only the light of suitable frequency can bring about the ejection of photoelectrons. XI - Some Basic Concept © Lotus Valley International School, Gurugram 135 XI - Some Basic Concept © Lotus Valley International School, Gurugram 136 SUMMARY Minimum frequency for photoemission = ʋ0 = Threshold Frequency Frequency ↑ → KE ↑ for photoelectron Intensity ↑ → Photocurrent ↑ (no. of electrons ejected ↑ ) → KE remains same XI - Some Basic Concept © Lotus Valley International School, Gurugram 137 These observations could not be explained using the laws of classical physics. XI - Some Basic Concept © Lotus Valley International School, Gurugram 138 EINSTEIN’S EXPLANATION Einstein explained these observations of the photoelectric effect for which he received the Nobel Prize in 1921 he has taken into account the Planck's quantum theory of electromagnetic radiation for explaining the photoelectric effect. Note that the quanta were called photons by Einstein Light consists of photons Each photon can eject only one electron from the metal Each photon has an energy equal to hʋ XI - Some Basic Concept © Lotus Valley International School, Gurugram 139 GOVERNING EQUATION XI - Some Basic Concept © Lotus Valley International School, Gurugram 140 Questions Que1 In photoelectric effect, the kinetic energy of the photoelectrons increases linearly with the Frequency of incident (b) (a) Wavelength of incident light light (c) Velocity of incident (d) Atomic mass of the element light (b) XI - Some Basic Concept © Lotus Valley International School, Gurugram 141 Electrons with a kinetic energy of 6.023 x 104 J/mol are evolved from the surface of a metal, when exposed to a radiation of wavelength of 600 nm (photoelectric effect). The minimum amount of energy required to remove an electron from the metal atom is : a) 2.3125 x 10-19 J b) 3 x 10-19 J c) 6.02 x 10-19 J d) 6.62 x 10-34 J Logic: When a radiation is passed on to the surface of a metal, some amount of energy is used in overcoming the attraction force on the electron and knocks it out from the atom. The remaining part is converted to kinetic energy. Therefore: Eradiation = Φ + KE Where: Φ = work function or ionization energy required to remove the electron from the atom. KE = kinetic energy XI - Some Basic Concept © Lotus Valley International School, Gurugram 142 Calculation of KE for one electron: In the question, KE for one mole of electrons is given. However, in the options, the energy values are given for one electron. Hence we have to find the KE value for one electron. From the data: KE for 6.023 x 1023 electrons (one mole) = 6.023 x 104 J KE for one electron = 6.023 x 104 / 6.023 x 1023 = 1 x 10-19 J Calculation of Eradiation: Eradiation = hc/λ = 6.626 x 10-34 J s x 3.0 x 108 m s-1/600 x 10-9 m = 3.313 x 10-19 J Solution: Φ = Eradiation - KE = (3.313 x 10-19 J) - (1 x 10-19 J) = 2.313 x 10-19 J Conclusion: The correct option is "a". XI - Some Basic Concept © Lotus Valley International School, Gurugram 143 The work function (Φ) of some metals is listed below. The number of metals which will show photoelectric effect when light of 300nm wavelength falls on the metal is: Metal Li Φ (in 2.4 eV) Na K Mg Cu Ag Fe Pt W 2.3 2.2 3.7 4.8 4.3 4.7 6.3 4.75 Logic & solution: The energy of radiation must be equal to or greater than the work functions of metals to show photoelectric effect. We need to convert wavelength of radiation into energy expressed in eV units. Eradiation = hc/λ = 6.626 x 10-34 J s x 3.0 x 108 m s-1/300 x 10-9 m = 6.626 x 10-19 J Now convert this value into eV. We know that: 1 J = 6.24 × 1018 eV Therefore: 6.626 x 10-19 J = 6.626 x 10-19 x 6.24 × 1018 eV = 4.134 eV Conclusion: Since the work functions of only Li, Na, K and Mg fall below 4.134 eV, only these metals can show photoelectric effect upon exposure of radiation of 300nm wavelength. The number of metals that can show photoelectric effect = 4. XI - Some Basic Concept © Lotus Valley International School, Gurugram 144 NCERT Exercise: 2.6 Find energy of each of the photons which (i) correspond to light of frequency 3 × 1015 Hz. (ii) have wavelength of 0.50 Å (i) E = 1.988 × 10–18 J (ii) E = 3.98 × 10–15 J 2.8 What is the number of photons of light with a wavelength of 4000 pm that provide 1J of energy? 2.012 × 1016photons 2.10 Electromagnetic radiation of wavelength 242 nm is just sufficient to ionize the sodium atom. Calculate the ionization energy of sodium in kJ mol–1. 1 = 494.5 kJ mol–1 XI - Some Basic Concept © Lotus Valley International School, Gurugram 145 NCERT Exercise: 2.11 A 25 watt bulb emits monochromatic yellow light of wavelength of 0.57µm. Calculate the rate of emission of quanta per second. (Given)Power of bulb, P = 25 Watt = 25 Js–1 We know, Energy of one photon, E = hν λ Substituting the values in the given expression of E: E = 34.87 × 10–20 J Rate of emission of quanta per second is given by R = P/ E, Where R is the rate of emission, P is the power & E is the energy Substituting the values in the equation we get XI - Some Basic Concept © Lotus Valley International School, Gurugram 146 NCERT Exercise: 2.46 Nitrogen laser produces a radiation at a wavelength of 337.1 nm. If the number of photons emitted is 5.6 × 1024, calculate the power of this laser. 3.33 × 106 J 2.47 Neon gas is generally used in the sign boards. If it emits strongly at 616 nm, calculate (a) the frequency of emission, (b) distance travelled by this radiation in 30 s (c) energy of quantum and (d) number of quanta present if it produces 2 J of energy. (a) 4.87 × 1014 s– XI - Some Basic Concept (b) 9.0 × 109 m (c) 32.27 ×10–20 J © Lotus Valley International School, Gurugram (d) 6.2 ×1018 147 NCERT Exercise: 2.48 In astronomical observations, signals observed from the distant stars are generally weak. If the photon detector receives a total of 3.15 × 10–18 J from the radiations of 600 nm, calculate the number of photons received by the detector. 9.51 ≈ 10 2.49 Lifetimes of the molecules in the excited states are often measured by using pulsed radiation source of duration nearly in the Nano second range. If the radiation source has the duration of 2 ns and the number of photons emitted during the pulse source is 2.5 × 1015, calculate the energy of the source. 8.282 × 10–10 J XI - Some Basic Concept © Lotus Valley International School, Gurugram 148 Thank You XI - Some Basic Concept © Lotus© Valley International School, Gurugram Lotus Valley International School, Gurugram 149