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प्रश्न
State the Bohr's postulate of angular momentum of an electron.
उत्तर
The angular momentum postulate proposed by Bohr argues that electrons can only rotate in orbits when their angular momentum is an integral multiple of `h/(2pi)` where h is Planck's universal constant.
Given an electron with mass 'm' and orbital velocity 'v', it can be explained using Bohr's postulate.
`mvr = (nh)/(2pi)`
Here n is an integer (n = 1, 2, 3.....) and is called the 'principal quantum number' of the orbit.
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संबंधित प्रश्न
(a) Using the Bohr’s model calculate the speed of the electron in a hydrogen atom in the n = 1, 2, and 3 levels.
(b) Calculate the orbital period in each of these levels.
The radius of the innermost electron orbit of a hydrogen atom is 5.3 × 10−11 m. What are the radii of the n = 2 and n = 3 orbits?
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
Answer the following question.
Calculate the de-Broglie wavelength associated with the electron revolving in the first excited state of the hydrogen atom. The ground state energy of the hydrogen atom is – 13.6 eV.
The angular momentum of electron in nth orbit is given by
The simple Bohr model cannot be directly applied to calculate the energy levels of an atom with many electrons. This is because ______.
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 ______.
- because of energy conservation.
- without simultaneously releasing energy in the from of radiation.
- because of momentum conservation.
- because of angular momentum conservation.
A hydrogen atom in its first excited state absorbs a photon of energy x × 10-2 eV and exited to a higher energy state where the potential energy of electron is -1.08 eV. The value of x is ______.
What is the energy associated with first orbit of Li2+ (RH = 2.18 × 10-18)?
On the basis of Bohr's theory, derive an expression for the radius of the nth orbit of an electron of hydrogen atom.