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प्रश्न
State the Bohr's postulate of angular momentum of an electron.
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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
State Bohr’s third postulate for hydrogen (H2) atom. Derive Bohr’s formula for the wave number. Obtain expressions for longest and shortest wavelength of spectral lines in ultraviolet region for hydrogen atom
(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
In Bohr’s model of the hydrogen atom, the radius of the first orbit of an electron is r0 . Then, the radius of the third orbit is:
a) `r_0/9`
b) `r_0`
c) `3r_0`
d) `9r_0`
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?
According to Bohr's theory, an electron can move only in those orbits for which its angular momentum is integral multiple of ____________.
The value of angular momentum for He+ ion in the first Bohr orbit is ______.
According to Bohr's theory, the radius of the nth Bohr orbit of a hydrogen like atom of atomic number Z is proportional to ______.
The total energy of an electron in the nth orbit of the hydrogen atom is proportional to ______.
The de Broglie wavelength of an electron in the first Bohr’s orbit of hydrogen atom is equal to ______.
