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The first four spectral lines in the Lym...

The first four spectral lines in the Lyman series of a H-atom are `lambda=1218Å, 1028Å,974.3Å and 951.4Å`. If instead of Hydrogen, we consider Deuterium, calculate the shift in the wavelength of these lines.

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To calculate the shift in the wavelengths of the first four spectral lines in the Lyman series of a hydrogen atom when considering deuterium instead, we will follow these steps: ### Step 1: Understand the Concept of Reduced Mass The reduced mass (\( \mu \)) of a two-body system, such as an electron and a nucleus, is given by the formula: \[ \mu = \frac{m_e \cdot m_N}{m_e + m_N} \] where \( m_e \) is the mass of the electron and \( m_N \) is the mass of the nucleus (proton for hydrogen and deuteron for deuterium). ...
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Given that ionization energy of hydrogen atom is 13.6 eV, calculate the wavelength of first line of the Lyman series.

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Knowledge Check

  • the wavelength of spectral line in the lyman series of a H-atom is 1028 Å . If instead of hydrogen, we consider deuterium then shift in the wavelength of this line be (m_p=1860m_e)

    A
    `1027.7Å`
    B
    `1036Å`
    C
    `1028Å`
    D
    `1021Å`
  • The first line of the lyman series in a hydrogen spectrum has a wavelength of 1210 Å. The corresponding line of a hydrogen like atom of Z=11 is equal to

    A
    `4000 Å`
    B
    `100 Å`
    C
    `40 Å`
    D
    `10 Å`
  • The first line of the lyman series in a hydrogen spectrum has a wavelength of 1210 Å. The corresponding line of a hydrogen like atom of Z=11 is equal to

    A
    4000 Ã…
    B
    100 Ã…
    C
    40 Ã…
    D
    10 Ã…
  • Similar Questions

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    Hydrogen atom is its ground state is excited by means of monochromatic radiation of wavelength 1023 Å . How many different lines are possible in the resulting spectrum? Calculate the longes wavelength among them. You may assume the ionization energy of hydrogen atom as 13.6 eV.

    A mu-meson ("charge -e , mass = 207 m, where m is mass of electron") can be captured by a proton to form a hydrogen - like ''mesic'' atom. Calculate the radius of the first Bohr orbit , the binding energy and the wavelength of the line in the Lyman series for such an atom. The mass of the proton is 1836 times the mass of the electron. The radius of the first Bohr orbit and the binding energy of hydrogen are 0.529 Å and 13.6 e V , repectively. Take R = 1.67 xx 109678 cm^(-1)

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    An electron in the first excited state of H atom absorbed a photon and further excited. The de broglie wavelength of the electron in this state is found to be 13.4 Å. Find the wavelength of the photon absorbed by the electron in angstroms. Also find the longest and the shortest wavelength emitted when this electron de-excited back to the ground state.