Advertisements
Advertisements
प्रश्न
If aO is the Bohr radius and n is the principal quantum number then, state the relation for the radius of nth orbit of the electron in terms of Bohr radius and principal quantum number.
Advertisements
उत्तर
The required relation is rn = a0n2
APPEARS IN
संबंधित प्रश्न
Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to ______.
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 ______
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.
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.
The ratio of speed of an electron in the ground state in the Bohr's first orbit of hydrogen atom to velocity of light (c) is ____________.
(h = Planck's constant, ε0 = permittivity of free space, e = charge on electron)
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)
With the increase in principal quantum number, the energy difference between the two successive energy levels ____________.
The ratio of the velocity of the electron in the first orbit to that in the second orbit is ____________.
When the electron in hydrogen atom jumps from fourth Bohr orbit to second Bohr orbit, one gets the ______.
In Bohr's model of hydrogen atom, the period of revolution of the electron in any orbit is proportional to ______.
According to Bohr's theory, the expression for the kinetic and potential energy of an electron revolving in an orbit is given respectively by ______.
Which of the following models was successful in explaining the observed hydrogen spectrum?
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?
Ratio of centripetal acceleration for an electron revolving in 3rd orbit to 5th orbit of hydrogen atom is ______.
The minimum energy required to excite a hydrogen atom from its ground state 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 ______.
The ground state energy of the hydrogen atom is -13.6 eV. The kinetic and potential energy of the electron in the second excited state is respectively ______
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 ______.
When an electron in hydrogen atom revolves in stationary orbit, it ______.
The orbital frequency of an electron in the hydrogen atom ______.
The speed of an electron in ground state energy level is 2.6 × 106 ms-1, then its speed in third excited state will be ______.
Ultraviolet light of wavelength 300 nm and intensity 1.0 Wm−2 falls on the surface of a photosensitive material. If one percent of the incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of 1.0 cm2 of the surface is nearly ______.
What is the origin of spectral lines? Obtain an expression for the wave number of a line in hydrogen spectrum.
Show that the angular speed of an electron in the nth Bohr orbit is w = `(πme^4)/(2ε_0^2h^3n^3)` and the corresponding frequency of the revolution of the electron is f = `(me^4)/(4ε_0^2h^3n^3)`.
