Advertisements
Advertisements
Question
Write down the postulates of Bohr atom model.
Solution
- The electron in an atom moves around the nucleus in circular orbits under the influence of Coulomb electrostatic force of attraction. This Coulomb force gives the necessary centripetal force for the electron to undergo circular motion.
- Electrons in an atom revolve around the nucleus only in certain discrete orbits called stationary orbits where it does not radiate electromagnetic energy. Only those discrete orbits allowed are stable orbits.
- The angular momentum of the electrons in these stationary orbits are quantized that is, it can be written as integer or an integral multiple of `"h"/"2h"` called as reduced Planck’s constant – that is, h (read it as h-bar) and the integer n is called as principal quantum number of the orbit.
l = nh;
L = `"nh"/(2π)`;
mvr = `"nh"/(2π)` where h = `"h"/(2π)`
This condition is known as the angular momentum quantization condition. - An electron can jump from one orbit to another orbit by absorbing or emitting a photon whose energy is equal to the difference in energy (∆E) between the two orbital levels.
energy quantization condition
∆E = `"E"_"final" – "E"_"initial" = hν = "hc"/lambda`
λ – Wavelength or radiation
C – Speed of light
ν – Frequency of the radiation
APPEARS IN
RELATED QUESTIONS
According to the Bohr Theory, which of the following transitions in the hydrogen atom will give rise to the least energetic photon?
In J.J. Thomson e/m experiment, a beam of electron is replaced by that of muons (particle with same charge as that of electrons but mass 208 times that of electrons). No deflection condition is achieved only if
The electric potential between a proton and an electron is given by V = V0 In `("r"/"r"_0)`, where r0 is a constant. Assume that Bohr atom model is applicable to potential, then a variation of radius of nth orbit rn with the principal quantum number n is
What is distance of closest approach?
Define impact parameter.
Explain the J. J. Thomson experiment to determine the specific charge of an electron.
Derive the energy expression for an eletron is the hydrogen atom using Bohr atom model.
Discuss the spectral series of hydrogen atom.
In the Bohr atom model, the frequency of transitions is given by the following expression
v = `"Rc" (1/"n"^2 - 1/"m"^2)`, where n < m
Consider the following transitions:
Transitions | m → n |
1 | 3 → 2 |
2 | 2 → 1 |
3 | 3 → 1 |
Show that the frequency of these transitions obey sum rule (which is known as Ritz combination principle).
- A hydrogen atom is excited by radiation of wavelength 97.5 nm. Find the principal quantum number of the excited state.
- Show that the total number of lines in emission spectrum is `("n"("n - 1"))/2`.
Compute the total number of possible lines in emission spectrum as given in(a).