Advertisements
Advertisements
प्रश्न
State Bohr's second postulate for the atomic model. Express it in its mathematical form.
उत्तर
Bohr’s second postulate:
The radius of the orbit of an electron can only take certain fixed values such that the angular momentum of the electron in these orbits is an integral multiple of `h/(2π)`, h being Planck’s constant.
Mathematical form: mernvn = `"nh"/(2pi)`
where, me = mass of electron, rn = radius of nth Bohr’s orbit, vn = linear velocity of electron in nth orbit, n = principal quantum number.
APPEARS IN
संबंधित प्रश्न
Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to ______.
Answer in one sentence:
Name the element that shows the simplest emission spectrum.
For the hydrogen atom, the minimum excitation energy ( of n =2) is ______
Derive an expression for the radius of the nth Bohr orbit for the hydrogen atom.
Calculate the wavelength for the first three lines in the Paschen series.
(Given RH =1.097 ×107 m-1)
Obtain an expression for wavenumber, when an electron jumps from a higher energy orbit to a lower energy orbit. Hence show that the shortest wavelength for the Balmar series is 4/RH.
Which of the following series of transitions in the spectrum of hydrogen atom falls in ultraviolet region?
Using Bohr's model, the orbital period of electron in hydrogen atom in nth orbit is (ε0 = permittivity of free space, h = Planck's constant, m = mass of electron and e = electronic charge)
Bohr model is applied to a particle of mass 'm' and charge 'q' is moving in a plane under the influence of a transverse magnetic field 'B. The energy of the charged particle in the nth level will be (h = Planck's constant).
The wavelength of the first line in Balmer series in the hydrogen spectrum is 'λ'. What is the wavelength of the second line in the same series?
Which of the following statements about the Bohr model of the hydrogen atom is FALSE?
For a certain atom when the system moves from 2E level to E, a photon of wavelength `lambda` is emitted. The wavelength of photon produced during its transition from `(4"E")/3` level to E is ____________.
What is the de Broglie wavelength of an electron of energy 180 eV?
(Mass of electron = 9 x 10-31 kg and Planck's constant = 6.6 x 10-34 Js.)
The total energy of an electron in an atom in an orbit is -3.4 eV. Its kinetic and potential energies are, respectively ______.
In Bohr's model of hydrogen atom, the period of revolution of the electron in any orbit is proportional to ______.
When hydrogen atom is in its first excited level, its radius is how many time its ground state radius?
According to Bohr's theory, the expression for the kinetic and potential energy of an electron revolving in an orbit is given respectively by ______.
The binding energy of an electron in nth orbit of the hydrogen atom is given by `"E"_"n" = 13.6/"n"^2 "eV."` The energy required to knock an electron from the second orbit in eV will be ____________.
The time of revolution of an electron around a nucleus of charge Ze in nth Bohr orbit is directly proportional to ____________.
In hydrogen spectnun, the wavelengths of light emited in a series of spectral lines is given by the equation `1/lambda = "R"(1/3^2 - 1/"n"^2)`, where n = 4, 5, 6 .... And 'R' is Rydberg's constant.
Identify the series and wavelenth region.
If a charge on the body is 1 nC, then how many electrons are present on the body?
Using Bohr's quantization condition, what is the rotational energy in the second orbit for a diatomic molecule. (I = moment of inertia of diatomic molecule, h = Planck's constant)
Electron in Hydrogen atom first jumps from third excited state to second excited state and then from second excited state to first excited state. The ratio of the wavelengths λ1 : λ2 emitted in the two cases respectively is ______.
The electron of mass 'm' is rotating in first Bohr orbit of radius 'r' in hydrogen atom. The orbital acceleration of the electron in first orbit is ______.
(b =Planck's constant)
If Vn and Vp are orbital velocities in nth and pth orbit respectively, then the ratio Vp: Vn is ______.
An electron of mass m and charge e initially at rest gets accelerated by a constant electric field E. The rate of change of de-Broglie wavelength of this electron at time t ignoring relativistic effects is ______.
Compute the shortest and the longest wavelength in the Lyman series of hydrogen atom.
The radius of the first Bohr orbit in the hydrogen atom is 0.5315 Å. The radius of the second Bohr orbit in the hydrogen atom is ______.
