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प्रश्न
उत्तर
- The spectral lines of this series corresponds to the transition of an electron from a higher energy state to the 4th orbit.
For this series, p = 4 and n = 5, 6, 7, .... - The wave numbers and the wavelengths of the spectral lines constituting the Bracket series are given by
`barv = 1/lambda = R(1/4^2 - 1/n^2)`
These series lie in the near infrared region of the spectrum.
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संबंधित प्रश्न
The linear momentum of the particle is 6.63 kg m/s. Calculate the de Broglie wavelength.
Using de Broglie’s hypothesis, obtain the mathematical form of Bohr’s second postulate.
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.
State the postulates of Bohr’s atomic model. Hence show the energy of electrons varies inversely to the square of the principal quantum number.
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 radius of electron's second stationary orbit in Bohr's atom is R. The radius of the third orbit will be ______
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)
With the increase in principal quantum number, the energy difference between the two successive energy levels ____________.
If the ionisation potential of helium atom is 24.6 volt, the energy required to ionise it will be ____________.
Taking the Bohr radius as a0= 53 pm, the radius of Li++ ion in its ground state, on the basis of Bohr's model, will be about ______.
The total energy of an electron in an atom in an orbit is -3.4 eV. Its kinetic and potential energies are, respectively ______.
If m is mass of electron, v its velocity, r the radius of stationary circular orbit around a nucleus with charge Ze, then from Bohr's second postulate, the kinetic energy `"K.E." = 1/2"mv"^2` of the electron in C.G.S. system is 2 equal to ____________.
If the speed of an electron of hydrogen atom in the ground state is 2.2 x 106 m/s, then its speed in the third excited state 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.
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?
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)
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 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)
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 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 ______.
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 ______.
In Bohr’s atomic model, speed and time period of revolution of an electron in n = 3 level are respectively.
Find the momentum of the electron having de Broglie wavelength of 0.5 A.
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)`.
