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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

What is the mathematical formula for third postulate of Bohr's atomic model? - Physics

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प्रश्न

What is the mathematical formula for the third postulate of Bohr's atomic model?

एका वाक्यात उत्तर
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उत्तर

The change in energy of an electron as it moves from one orbit to another is always accompanied by the emission or absorption of a photon.

E = En - Em

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2021-2022 (March) Set 1

संबंधित 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. 


State any two limitations of Bohr’s model for the hydrogen atoms.


Using de Broglie’s hypothesis, obtain the mathematical form of Bohr’s second postulate.


Calculate the longest wavelength 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.  


The radius of electron's second stationary orbit in Bohr's atom is R. The radius of the third orbit will be ______


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?


With the increase in principal quantum number, the energy difference between the two successive energy levels ____________.


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 ______.


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.)


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 ____________.


According to Bohr's theory, the expression for the kinetic and potential energy of an electron revolving in an orbit is given respectively by ______.


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]


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 acceleration of electron in the first orbit of hydrogen atom is ______.


When an electron in hydrogen atom jumps from third excited state to the ground state, the de-Broglie wavelength associated with the electron becomes ____________.


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)


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 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 ______.


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 ______.


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 ______.


Draw a near labelled energy level diagram for hydrogen atom.

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


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