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Page 1 ATOMIC NUCLEUS 1. Rutherford’s Alpha Scattering Experiment 2. Distance of Closest Approach (Nuclear Size) 3. Impact Parameter 4. Composition of Nucleus 5. Atomic Number, Mass Number and Atomic Mass Unit 6. Radius of the Nucleus and Nuclear Density 7. Mass Energy Relation and Mass Defect 8. Binding Energy and Binding Energy per Nucleon 9. Binding Energy Curve and Inferences 10.Nuclear Forces and Meson Theory 11.Radioactivity and Soddy’s Displacement Law 12.Rutherford and Soddy’s Laws of Radioactive Decay 13.Radioactive Disintegration Constant and Half-Life Period 14.Units of Radioactivity 15.Nuclear Fission and Fusion Page 2 ATOMIC NUCLEUS 1. Rutherford’s Alpha Scattering Experiment 2. Distance of Closest Approach (Nuclear Size) 3. Impact Parameter 4. Composition of Nucleus 5. Atomic Number, Mass Number and Atomic Mass Unit 6. Radius of the Nucleus and Nuclear Density 7. Mass Energy Relation and Mass Defect 8. Binding Energy and Binding Energy per Nucleon 9. Binding Energy Curve and Inferences 10.Nuclear Forces and Meson Theory 11.Radioactivity and Soddy’s Displacement Law 12.Rutherford and Soddy’s Laws of Radioactive Decay 13.Radioactive Disintegration Constant and Half-Life Period 14.Units of Radioactivity 15.Nuclear Fission and Fusion Rutherford’s Alpha Scattering Experiment + Lead Box Bi-214 or Radon a - Beam Thin Gold Foil ZnS Screen Gold Atom a - Beam Scattering angle (?) No. of a-particles scattered (N) a a Page 3 ATOMIC NUCLEUS 1. Rutherford’s Alpha Scattering Experiment 2. Distance of Closest Approach (Nuclear Size) 3. Impact Parameter 4. Composition of Nucleus 5. Atomic Number, Mass Number and Atomic Mass Unit 6. Radius of the Nucleus and Nuclear Density 7. Mass Energy Relation and Mass Defect 8. Binding Energy and Binding Energy per Nucleon 9. Binding Energy Curve and Inferences 10.Nuclear Forces and Meson Theory 11.Radioactivity and Soddy’s Displacement Law 12.Rutherford and Soddy’s Laws of Radioactive Decay 13.Radioactive Disintegration Constant and Half-Life Period 14.Units of Radioactivity 15.Nuclear Fission and Fusion Rutherford’s Alpha Scattering Experiment + Lead Box Bi-214 or Radon a - Beam Thin Gold Foil ZnS Screen Gold Atom a - Beam Scattering angle (?) No. of a-particles scattered (N) a a Alpha – particle is a nucleus of helium atom carrying a charge of ‘+2e’ and mass equal to 4 times that of hydrogen atom. It travels with a speed nearly 10 4 m/s and is highly penetrating. Rutherford Experiment Geiger & Marsden Experiment Source of a-particle Radon 86 Rn 222 Bismuth 83 Bi 214 Speed of a-particle 10 4 m/s 1.6 x 10 7 m/s Thickness of Gold foil 10 -6 m 2.1 x 10 -7 m Page 4 ATOMIC NUCLEUS 1. Rutherford’s Alpha Scattering Experiment 2. Distance of Closest Approach (Nuclear Size) 3. Impact Parameter 4. Composition of Nucleus 5. Atomic Number, Mass Number and Atomic Mass Unit 6. Radius of the Nucleus and Nuclear Density 7. Mass Energy Relation and Mass Defect 8. Binding Energy and Binding Energy per Nucleon 9. Binding Energy Curve and Inferences 10.Nuclear Forces and Meson Theory 11.Radioactivity and Soddy’s Displacement Law 12.Rutherford and Soddy’s Laws of Radioactive Decay 13.Radioactive Disintegration Constant and Half-Life Period 14.Units of Radioactivity 15.Nuclear Fission and Fusion Rutherford’s Alpha Scattering Experiment + Lead Box Bi-214 or Radon a - Beam Thin Gold Foil ZnS Screen Gold Atom a - Beam Scattering angle (?) No. of a-particles scattered (N) a a Alpha – particle is a nucleus of helium atom carrying a charge of ‘+2e’ and mass equal to 4 times that of hydrogen atom. It travels with a speed nearly 10 4 m/s and is highly penetrating. Rutherford Experiment Geiger & Marsden Experiment Source of a-particle Radon 86 Rn 222 Bismuth 83 Bi 214 Speed of a-particle 10 4 m/s 1.6 x 10 7 m/s Thickness of Gold foil 10 -6 m 2.1 x 10 -7 m S. No. Observation Conclusion 1 Most of the a-particles passed straight through the gold foil. It indicates that most of the space in an atom is empty. 2 Some of the a-particles were scattered by only small angles, of the order of a few degrees. a-particles being +vely charged and heavy compared to electron could only be deflected by heavy and positive region in an atom. It indicates that the positive charges and the most of the mass of the atom are concentrated at the centre called ‘nucleus’. 3 A few a-particles (1 in 9000) were deflected through large angles (even greater than 90°). Some of them even retraced their path. i.e. angle of deflection was 180°. a-particles which travel towards the nucleus directly get retarded due to Coulomb’s force of repulsion and ultimately comes to rest and then fly off in the opposite direction. N(?) a 1 sin 4 (?/2) Page 5 ATOMIC NUCLEUS 1. Rutherford’s Alpha Scattering Experiment 2. Distance of Closest Approach (Nuclear Size) 3. Impact Parameter 4. Composition of Nucleus 5. Atomic Number, Mass Number and Atomic Mass Unit 6. Radius of the Nucleus and Nuclear Density 7. Mass Energy Relation and Mass Defect 8. Binding Energy and Binding Energy per Nucleon 9. Binding Energy Curve and Inferences 10.Nuclear Forces and Meson Theory 11.Radioactivity and Soddy’s Displacement Law 12.Rutherford and Soddy’s Laws of Radioactive Decay 13.Radioactive Disintegration Constant and Half-Life Period 14.Units of Radioactivity 15.Nuclear Fission and Fusion Rutherford’s Alpha Scattering Experiment + Lead Box Bi-214 or Radon a - Beam Thin Gold Foil ZnS Screen Gold Atom a - Beam Scattering angle (?) No. of a-particles scattered (N) a a Alpha – particle is a nucleus of helium atom carrying a charge of ‘+2e’ and mass equal to 4 times that of hydrogen atom. It travels with a speed nearly 10 4 m/s and is highly penetrating. Rutherford Experiment Geiger & Marsden Experiment Source of a-particle Radon 86 Rn 222 Bismuth 83 Bi 214 Speed of a-particle 10 4 m/s 1.6 x 10 7 m/s Thickness of Gold foil 10 -6 m 2.1 x 10 -7 m S. No. Observation Conclusion 1 Most of the a-particles passed straight through the gold foil. It indicates that most of the space in an atom is empty. 2 Some of the a-particles were scattered by only small angles, of the order of a few degrees. a-particles being +vely charged and heavy compared to electron could only be deflected by heavy and positive region in an atom. It indicates that the positive charges and the most of the mass of the atom are concentrated at the centre called ‘nucleus’. 3 A few a-particles (1 in 9000) were deflected through large angles (even greater than 90°). Some of them even retraced their path. i.e. angle of deflection was 180°. a-particles which travel towards the nucleus directly get retarded due to Coulomb’s force of repulsion and ultimately comes to rest and then fly off in the opposite direction. N(?) a 1 sin 4 (?/2) Distance of Closest Approach (Nuclear size): + r 0 When the distance between a-particle and the nucleus is equal to the distance of the closest approach (r 0 ), the a-particle comes to rest. At this point or distance, the kinetic energy of a-particle is completely converted into electric potential energy of the system. ½ mu 2 = 1 4pe 0 2 Ze 2 r 0 r 0 = 1 4pe 0 2 Ze 2 ½ mu 2Read More
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