English

Find the angular momentum of an electron revolving in the second orbit in Bohr's hydrogen atom.

Advertisements
Advertisements

Question

Find the angular momentum of an electron revolving in the second orbit in Bohr's hydrogen atom.

Numerical
Advertisements

Solution

The angular momentum of an electron revolving around the nucleus in a hydrogen atom is quantised and given by

`L = (nh)/(2pi)` For n = 2

`L = (2h)/(2pi) = h/pi = (6.6 xx 10^-34)/3.14`

= `2.10 xx 10^34` kg m2s-1

shaalaa.com
  Is there an error in this question or solution?
2022-2023 (March) Delhi Set 1

APPEARS IN

RELATED QUESTIONS

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.


The Bohr radius is given by  `a_0 = (∈_0h^2)/{pime^2}`. Verify that the RHS has dimensions of length.


Radiation coming from transition n = 2 to n = 1 of hydrogen atoms falls on helium ions in n = 1 and n = 2 states. What are the possible transitions of helium ions as they absorbs energy from the radiation?


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.


How are various lines of Lyman series formed? Explain on the basis of Bohr’s theory.


Using Bohr's postulates derive the expression for the radius of nth orbit of the electron.


Consider aiming a beam of free electrons towards free protons. When they scatter, an electron and a proton cannot combine to produce a H-atom ______.

  1. because of energy conservation.
  2. without simultaneously releasing energy in the from of radiation.
  3. because of momentum conservation.
  4. because of angular momentum conservation.

Orbits of a particle moving in a circle are such that the perimeter of the orbit equals an integer number of de-Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth orbital will therefore be proportional to:


A 20% efficient bulb emits light of wavelength 4000 Å. If the power of the bulb is 1 W, the number of photons emitted per second is ______.

[Take, h = 6.6 × 10-34 J-s]


For the reaction \[\ce{2NO2 (g) ⇌ N2O4(g)}\], when ΔS = −176.0 JK−1 and ΔH = −57.8 kj mol−1, the magnitude of ΔG at 298 K for the reaction is ______ kJ mol−1. (Nearest integer)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×