Advertisements
Advertisements
प्रश्न
Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to ______.
पर्याय
`1/n`
`1/n^2`
n
`n^2`
Advertisements
उत्तर
Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to `bbunderline(1/n)`.
Explanation:
Linear momentum, p = mv
Velocity of electron in Bohr's orbit is given as
`"v"=e^2/(2epsilon_0"nh")`
`therefore"mv"=e^2/(2epsilon_0"nh")`
`rArr"p"=(me^2)/(2epsilon_0"nh")`
`rArr"p"prop1/"n"`
APPEARS IN
संबंधित प्रश्न
Derive the expression for the energy of an electron in the atom.
The speed of electron having de Broglie wavelength of 10 -10 m is ______
(me = 9.1 × 10-31 kg, h = 6.63 × 10-34 J-s)
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)
Derive an expression for the radius of the nth Bohr orbit for the hydrogen atom.
Calculate the shortest wavelength in the Paschen series if the longest wavelength in the Balmar series is 6563 Ao.
How the linear velocity 'v' of an electron in the Bohr orbit is related to its quantum number 'n'?
The radius of electron's second stationary orbit in Bohr's atom is R. The radius of the third orbit will be ______
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)
The total energy of an electron in an atom in an orbit is -3.4 eV. Its kinetic and potential energies are, respectively ______.
In the nth orbit, the energy of an electron `"E"_"n"= -13.6/"n"^2"eV"` for hydrogen atom. The energy required to take the electron from first orbit to second orbit will be ____________.
In hydrogen atom, the de Broglie wavelength of an electron in the first Bohr's orbit is ____________.
[Given that Bohr radius, a0 = 52.9 pm]
Ratio of centripetal acceleration for an electron revolving in 3rd orbit to 5th orbit of hydrogen atom is ______.
In Bohr model, speed of electron in nth orbit of hydrogen atom is ______. (b = Planck's constant, n = principal quantum number, ∈0 is the permittivity of free space, e = electronic charge)
An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct?
In hydrogen atom, during the transition of electron from nth outer orbit to first Bohr orbit, a photon of wavelength `lambda` is emitted. The value of 'n' is [R =Rydberg's constant] ____________.
The de-Broglie wavelength of an electron in 4th orbit is ______.
(r = radius of 1st orbit)
In any Bohr orbit of hydrogen atom, the ratio of K.E to P.E of revolving electron at a distance 'r' from the nucleus is ______.
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 ______.
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 ______
The third line of the Balmer series, in the emission spectrum of the hydrogen atom, is due to the transition from the ______.
The momentum of an electron revolving in nth orbit is given by ______.
When an electron in hydrogen atom revolves in stationary orbit, it ______.
The value of Rydberg constant in joule is ______.
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 ______.
In Bohr’s atomic model, speed and time period of revolution of an electron in n = 3 level are respectively.
The ratio of energies of photons produced due to the transition of an electron of a hydrogen atom from its (i) second to first energy level and (ii) highest energy level to the third level is respectively
