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
Derive the expression for the energy of an electron in the atom.
According to Bohr's second postulate, the angular momentum of the electron is the integral multiple of `h/(2pi)`. The S.I unit of Plank constant h is the same as ______
For the hydrogen atom, the minimum excitation energy ( of n =2) is ______
What is the energy of an electron in a hydrogen atom for n = ∞?
The linear momentum of the particle is 6.63 kg m/s. Calculate the de Broglie wavelength.
Starting with 𝑟 = `(ε_0h^2n^2)/(pimZe^2),` Show that the speed of an electron in nth orbit varies inversely to principal quantum number.
Calculate the longest wavelength in the Paschen series.
(Given RH =1.097 ×107 m-1)
The angular momentum of an electron in the 3rd Bohr orbit of a Hydrogen atom is 3.165 × 10-34 kg m2/s. Calculate Plank’s constant h.
Derive an expression for the radius of the nth Bohr orbit for the hydrogen atom.
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.
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?
When the electron in hydrogen atom jumps from fourth Bohr orbit to second Bohr orbit, one gets the ______.
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 ____________.
When an electron in hydrogen atom is excited from its 3rd to 5th stationary orbit, tbe change in angular momentum of electron is (Planck's constant: h = 6.62 x 10-34 Js) ____________.
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.
Angular speed of an electron in the ground state of hydrogen atom is 4 × 1016 rad/s. What is its angular speed in 4th orbit?
An 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 (h = Planck's constant).
The radius of orbit of an electron in hydrogen atom in its ground state is 5.3 x 10-11 m After collision with an electron, it is found to have a radius of 13.25 x 10-10 m. The principal quantum number n of the final state of the atom is ______.
If Vn and Vp are orbital velocities in nth and pth orbit respectively, then the ratio Vp: Vn is ______.
The relation between magnetic moment of revolving electron 'M' and principle quantum number 'n' is ______.
The momentum of an electron revolving in nth orbit is given by ______.
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 ______.
The value of Rydberg constant in joule is ______.
Calculate the radius of the first Bohr orbit in the hydrogen atom.
Find the momentum of the electron having de Broglie wavelength of 0.5 A.
