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Using Rutherford's model of the atom, derive the expression for the total energy of the electron in hydrogen atom. What is the significance of total negative energy possessed by the electron?
Concept: Alpha-particle Scattering and Rutherford’s Nuclear Model of Atom
Using Bohr's postulates of the atomic model, derive the expression for radius of nth electron orbit. Hence obtain the expression for Bohr's radius.
Concept: Bohr’s Model for Hydrogen Atom
Suppose you are given a chance to repeat the alpha-particle scattering experiment using a thin sheet of solid hydrogen in place of the gold foil. (Hydrogen is a solid at temperatures below 14 K.) What results do you expect?
Concept: Alpha-particle Scattering and Rutherford’s Nuclear Model of Atom
Define the distance of closest approach. An α-particle of kinetic energy 'K' is bombarded on a thin gold foil. The distance of the closest approach is 'r'. What will be the distance of closest approach for an α-particle of double the kinetic energy?
Concept: Alpha-particle Scattering and Rutherford’s Nuclear Model of Atom
Write the expression for the de Broglie wavelength associated with a charged particle having charge ‘q’ and mass ‘m’, when it is accelerated by a potential V.
Concept: Heisenberg and De Broglie Hypothesis
Using Bohr’s postulates, derive the expression for the frequency of radiation emitted when electron in hydrogen atom undergoes transition from higher energy state (quantum number ni) to the lower state, (nf).
When electron in hydrogen atom jumps from energy state ni = 4 to nf = 3, 2, 1, identify the spectral series to which the emission lines belong.
Concept: Bohr’s Model for Hydrogen Atom
Using Bohr’s second postulate of quantization of orbital angular momentum show that the circumference of the electron in the nth orbital state in hydrogen atom is n times the de Broglie wavelength associated with it.
Concept: De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
The electron in hydrogen atom is initially in the third excited state. What is the maximum number of spectral lines which can be emitted when it finally moves to the ground state?
Concept: Bohr’s Model for Hydrogen Atom
What is meant by ionisation energy?
Concept: Bohr’s Model for Hydrogen Atom
The diagram shows the four energy levels of an electron in the Bohr model of the hydrogen atom. Identify the transition in which the emitted photon will have the highest energy.
Concept: Energy Levels
The radius of the nth orbit in the Bohr model of hydrogen is proportional to ______.
Concept: Bohr’s Model for Hydrogen Atom
In the study of Geiger-Marsdon experiment on scattering of α particles by a thin foil of gold, draw the trajectory of α-particles in the coulomb field of target nucleus. Explain briefly how one gets the information on the size of the nucleus from this study.
From the relation R = R0 A1/3, where R0 is constant and A is the mass number of the nucleus, show that nuclear matter density is independent of A
Concept: Atomic Masses and Composition of Nucleus
Write symbolically the process expressing the β+ decay of `""_11^22Na`. Also write the basic nuclear process underlying this decay.
Concept: Law of Radioactive Decay
Is the nucleus formed in the decay of the nucleus `""_11^22Na`, an isotope or isobar?
Concept: Mass-energy and Nuclear Binding Energy >> Nuclear Binding Energy
Why is it found experimentally difficult to detect neutrinos in nuclear β-decay?
Concept: Law of Radioactive Decay
A radioactive nucleus 'A' undergoes a series of decays as given below:

The mass number and atomic number of A2 are 176 and 71 respectively. Determine the mass and atomic numbers of A4 and A.
Concept: Law of Radioactive Decay
Define the activity of a given radioactive substance. Write its S.I. unit.
Concept: Law of Radioactive Decay
Draw the plot of binding energy per nucleon (BE/A) as a functino of mass number A. Write two important conclusions that can be drawn regarding the nature of nuclear force.
Concept: Mass-energy and Nuclear Binding Energy >> Mass - Energy
Use this graph to explain the release of energy in both the processes of nuclear fusion and fission.
Concept: Mass-energy and Nuclear Binding Energy >> Nuclear Binding Energy
Write the basic nuclear process of neutron undergoing β-decay.
Concept: Radioactivity >> Beta Decay
