Q1. What is the wavelength of light emitted when an electron transitions from n=4 to n=2 in a hydrogen atom? (2020)
Solution:
Using the Rydberg formula, the wavelength for the transition from n=4 to n=2 can be calculated to be approximately 486 nm.
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Q2. In the context of atomic structure, what does the term 'isotope' refer to? (2021)
Solution:
Isotopes are defined as atoms that have the same number of protons but different numbers of neutrons.
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Q3. What is the ionization energy of an atom? (2023)
Solution:
Ionization energy is defined as the energy required to remove an electron from an atom in its gaseous state.
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Q4. What is the main limitation of the Rutherford model of the atom? (2019)
Solution:
The Rutherford model fails to explain why electrons do not spiral into the nucleus, thus not accounting for atomic stability.
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Q5. What is the significance of the Heisenberg Uncertainty Principle in atomic physics? (2023)
Solution:
The Heisenberg Uncertainty Principle states that it is impossible to simultaneously know the exact position and momentum of a particle.
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Q6. What is the maximum number of electrons that can occupy the n=4 energy level? (2021)
Solution:
The maximum number of electrons in an energy level is given by 2n^2. For n=4, it is 2(4^2) = 32.
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Q7. What is the main reason for the stability of the electron orbits in an atom according to the Bohr model? (2019)
Solution:
In the Bohr model, electrons occupy quantized energy levels, which leads to stable orbits around the nucleus.
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Q8. In the photoelectric effect, what happens to the kinetic energy of emitted electrons when the frequency of incident light is increased? (2021)
Solution:
According to the photoelectric effect, the kinetic energy of emitted electrons increases with the frequency of the incident light, provided the frequency is above the threshold frequency.
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Q9. Which of the following transitions in a hydrogen atom will emit the highest energy photon? (2019)
Solution:
The energy of the emitted photon is highest for the transition from n=2 to n=1, as it involves the largest difference in energy levels.
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Q10. What is the maximum number of electrons that can occupy the n=3 energy level in an atom? (2021)
Solution:
The maximum number of electrons in an energy level is given by the formula 2n². For n=3, it is 2(3)² = 18.
