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Atomic Spectra, Numerical Problems

This page consists of numerical problems included in the second year Physics course.

S.No Problem
Problem 1 Find the shortest wavelength photon emitted in the lyman series of hydrogen atom.
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Problem 2 What is the wavelength of the second line of Paschen series.
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Problem 3 Calculate the longest wavelength of radiation for the Paschen series.
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Problem 4 The series limit wavelength of the Balmer series is emitted as the electron in the hydrogen atom falls from n = ∞ to the n = 2 state. What is the wavelength of this line where ΔE = 3.40 eV.
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Problem 5 A photon is emitted from a hydrogen atom, which undergoes a transition from that n = 3 state to the n = 2 state. Calculate (a) the energy (b) the wavelength, and (c) frequency of the emitted photon.
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Problem 6 Find the longest wavelength of light capable of ionizing a hydrogen atom. How much energy is needed to ionize a hydrogen atom?
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Problem 7 Calculate the radius of the innermost orbital level of hydrogen atom?
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Problem 8 Determine the energy associated with the innermost orbit of the hydrogen atom (n=1). (b) Determine the energy associated with the second orbit of the hydrogen atom. (c) What energy does an incoming photon possess to raise an electron from the first to the second allowed orbit of the hydrogen atom?
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Problem 9 An electron drops from the second energy level to the first energy level within an excited hydrogen atom. (a) Determine the energy of the photon emitted. (b) calculate the frequency of the photon emitted (c) calculate the wavelength of the photon emitted.
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