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The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transition is associated with :
  • a)
    Lyman series
  • b)
    Balmer series
  • c)
    Paschen series
  • d)
    Brackett series
Correct answer is option 'B'. Can you explain this answer?
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The electron in the hydrogen atom undergoes transition from higher orb...
Explanation:


The hydrogen atom consists of a nucleus which is a proton, and an electron which revolves around the nucleus in different energy levels or orbitals. When an electron jumps from a higher energy level to a lower energy level, it releases energy in the form of a photon or electromagnetic radiation. Based on the energy released, the radiation can be classified into different series.




Balmer Series:


The Balmer series is the set of spectral lines produced when an electron in a hydrogen atom transitions from an energy level with n > 2 to the energy level with n=2. The Balmer series lies in the visible spectrum and is characterized by the presence of four lines: H-alpha, H-beta, H-gamma, and H-delta. The H-alpha line is the first line in the Balmer series and is produced when the electron transitions from the third energy level to the second energy level. The H-beta line is the second line in the Balmer series and is produced when the electron transitions from the fourth energy level to the second energy level.




Answer:


The given transition is from a higher energy level to the energy level with n=2, which is the second energy level. Therefore, the transition corresponds to the Balmer series. The radius of the orbital is given as 211.6 pm, which corresponds to an energy level of n=3. Hence, the electron is transitioning from n=3 to n=2, and the spectral line produced will be the H-alpha line in the Balmer series.
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The only electron in the hydrogen atom resides under ordinary conditions on the first orbit. When energy is supplied, the electron moves to higher energy orbit depending on the amount of energy absorbed. When this electron returns to any of the lower orbits, it emits energy. Lyman series is formed when the electron returns to the lowest orbit while Balmer series is formed when the electron returns to second orbit. Similarly, Paschen, Brackett and Pfund series are formed when electron returns to the third, fourth and fifth orbits from higher energy orbits respectively. Maximum number of lines produced when an electron jumps from nth level to ground level is equal to . For examle, in the case of n = 4, number of lines produced is 6. (4 3, 4 2, 4 1, 3 2, 3 1, 2 1). When an electron returns from n2 to n1 state, the number of lines in the spectrum will be equal toIf the electron comes back from energy level having energy E2 to energy level having energy E1, then the difference may be expressed in terms of energy of photon as :Since h and c are constants, E corresponds to definite energy; thus each transition from one energy level to another will produce a light of definite wavelength. This is actually observed as a line in the spectrum of hydrogen atom.Wave number of line is given by the formulawhere R is a Rydbergs constant(R = 1.1 107 m-1)Q.In a collection of Hatom, electrons make transition from 5th excited state to 2nd excited state then maximum number of different types of photons observed are

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The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transition is associated with :a)Lyman seriesb)Balmer seriesc)Paschen seriesd)Brackett seriesCorrect answer is option 'B'. Can you explain this answer?
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