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The mass of a H-atom is less than the sum of the masses of a proton and electron. Why is this?

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प्रश्न

The mass of a H-atom is less than the sum of the masses of a proton and electron. Why is this?

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उत्तर

Einstein’s mass-energy equivalence gives E = mc2. Thus the mass of an H-atom is `m_p + m_e - B/c^2` where B ≈ 13.6 eV is the binding energy.

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अध्याय 12: Atoms - Exercises [पृष्ठ ७८]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 12
अध्याय 12 Atoms
Exercises | Q 12.14 | पृष्ठ ७८

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संबंधित प्रश्न

State Bohr’s postulate of hydrogen atom which successfully explains the emission lines in the spectrum of hydrogen atom. Use Rydberg formula to determine the wavelength of Hα line. [Given: Rydberg constant R = 1.03 × 107 m−1]


Calculate the radius of Bohr’s fifth orbit for hydrogen atom


What is the energy in joules, required to shift the electron of the hydrogen atom from the first Bohr orbit to the fifth Bohr orbit and what is the wavelength of the light emitted when the electron returns to the ground state? The ground state electron energy is –2.18 × 10–11 ergs.


Draw a neat, labelled energy level diagram for H atom showing the transitions. Explain the series of spectral lines for H atom, whose fixed inner orbit numbers are 3 and 4 respectively.


Explain, giving reasons, which of the following sets of quantum numbers are not possible.

  1. n = 0, l = 0, ml = 0, ms = + ½
  2. n = 1, l = 0, ml = 0, ms = – ½
  3. n = 1, l = 1, ml = 0, ms = + ½
  4. n = 2, l = 1, ml = 0, ms = – ½
  5. n = 3, l = 3, ml = –3, ms = + ½
  6. n = 3, l = 1, ml = 0, ms = + ½

If the velocity of the electron in Bohr’s first orbit is 2.19 × 106 ms-1, calculate the de Broglie wavelength associated with it.


State Bohr postulate of hydrogen atom that gives the relationship for the frequency of emitted photon in a transition.


A positive ion having just one electron ejects it if a photon of wavelength 228 Å or less is absorbed by it. Identify the ion.


Calculate the magnetic dipole moment corresponding to the motion of the electron in the ground state of a hydrogen atom.


A neutron having kinetic energy 12.5 eV collides with a hydrogen atom at rest. Nelgect the difference in mass between the neutron and the hydrogen atom and assume that the neutron does not leave its line of motion. Find the possible kinetic energies of the neutron after the event.


A filter transmits only the radiation of wavelength greater than 440 nm. Radiation from a hydrogen-discharge tube goes through such a filter and is incident on a metal of work function 2.0 eV. Find the stopping potential which can stop the photoelectrons.


In which of the following systems will the wavelength corresponding to n = 2 to n = 1 be minimum?


Calculate angular momentum of an electron in the third Bohr orbit of a hydrogen atom.


When the electron orbiting in hydrogen atom in its ground state moves to the third excited state, show how the de Broglie wavelength associated with it would be affected.


What is the energy in joules released when an electron moves from n = 2 to n = 1 level in a hydrogen atom?


In Bohr model of hydrogen atom, which of the following is quantised?


When an electric discharge is passed through hydrogen gas, the hydrogen molecules dissociate to produce excited hydrogen atoms. These excited atoms emit electromagnetic radiation of discrete frequencies which can be given by the general formula

`bar(v) = 109677 1/n_1^2 - 1/n_f^2`

What points of Bohr’s model of an atom can be used to arrive at this formula? Based on these points derive the above formula giving description of each step and each term.


The first ionization energy of H is 21.79 × 10-19 J. The second ionization energy of He atom is ______ × 10-19J.


Write the ionisation energy value for the hydrogen atom.


Calculate the energy associated with third orbit of He+.


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