English
Karnataka Board PUCPUC Science 2nd PUC Class 12

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

Advertisements
Advertisements

Question

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

Short/Brief Note
Advertisements

Solution

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.

shaalaa.com
  Is there an error in this question or solution?
Chapter 12: Atoms - Exercises [Page 78]

APPEARS IN

NCERT Exemplar Physics Exemplar [English] Class 12
Chapter 12 Atoms
Exercises | Q 12.14 | Page 78

RELATED QUESTIONS

(i) State Bohr's quantization condition for defining stationary orbits. How does the de Broglie hypothesis explain the stationary orbits?

(ii) Find the relation between three wavelengths λ1, λ2 and λ3 from the energy-level diagram shown below.


Calculate the radius of second Bohr orbit in hydrogen atom from the given data.

Mass of electron = 9.1 x 10-31kg

Charge on the electron = 1.6 x 10-19 C

Planck’s constant = 6.63 x 10-34 J-s.

Permittivity of free space = 8.85 x 10-12 C2/Nm2


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

Calculate the energy required for the process 

\[\ce{He^+_{(g)} -> He^{2+}_{(g)} + e^-}\]

The ionization energy for the H atom in the ground state is 2.18 ×10–18 J atom–1


In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 1011 m with orbital speed 3 × 104 m/s. (Mass of earth = 6.0 × 1024 kg)


Using Bohr’s postulates, obtain the expression for the total energy of the electron in the stationary states of the hydrogen atom. Hence draw the energy level diagram showing how the line spectra corresponding to Balmer series occur due to transition between energy levels.


Balmer series was observed and analysed before the other series. Can you suggest a reason for such an order?


When a photon stimulates the emission of another photon, the two photons have
(a) same energy
(b) same direction
(c) same phase
(d) same wavelength


When a photon is emitted by a hydrogen atom, the photon carries a momentum with it. (a) Calculate the momentum carries by the photon when a hydrogen atom emits light of wavelength 656.3 nm. (b) With what speed does the atom recoil during this transition? Take the mass of the hydrogen atom = 1.67 × 10−27 kg. (c) Find the kinetic energy of recoil of the atom.


Consider a neutron and an electron bound to each other due to gravitational force. Assuming Bohr's quantization rule for angular momentum to be valid in this case, derive an expression for the energy of the neutron-electron system.


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?


The angular momentum of electron in nth orbit is given by


If a proton had a radius R and the charge was uniformly distributed, calculate using Bohr theory, the ground state energy of a H-atom when (i) R = 0.1 Å, and (ii) R = 10 Å.


A hydrogen atom in is ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of ______.

(Given, Planck's constant = 6.6 × 10-34 Js)


What is the energy associated with first orbit of Li2+ (RH = 2.18 × 10-18)?


According to Bohr's theory, the radius of the nth Bohr orbit of a hydrogen like atom of atomic number Z is proportional to ______.


Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength λ. If R is the Rydberg constant then the principal quantum number n of the excited state is ______.


Write the ionisation energy value for the hydrogen atom.


What is the velocity of an electron in the 3rd orbit of hydrogen atom if its velocity in the 1st orbit is v0?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×