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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

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. - Physics

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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. 

एका वाक्यात उत्तर

उत्तर

The required relation is rn = a0n2   

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Bohr’s Atomic Model
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पाठ 15: Structure of Atoms and Nuclei - Very Short Answer

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एससीईआरटी महाराष्ट्र Physics [English] 12 Standard HSC
पाठ 15 Structure of Atoms and Nuclei
Very Short Answer | Q 2

संबंधित प्रश्‍न

Answer in brief.

State the postulates of Bohr’s atomic model.


Derive the expression for the energy of an electron in the atom.


Answer in one sentence:

Name the element that shows the simplest emission spectrum.


The radii of Bohr orbit are directly 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 ______ 


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) 


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.


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?


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


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.)


The total energy of an electron in an atom in an orbit is -3.4 eV. Its kinetic and potential energies are, respectively ______.


Which of the following models was successful in explaining the observed hydrogen spectrum?


If a charge on the body is 1 nC, then how many electrons are present on the body?


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


The de-Broglie wavelength of an electron in 4th orbit is ______.

(r = radius of 1st orbit)


Electron in Hydrogen atom first jumps from third excited state to second excited state and then from second excited state to first excited state. The ratio of the wavelengths λ1 : λ2 emitted in the two cases respectively 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 relation between magnetic moment of revolving electron 'M' and principle quantum number 'n' is ______.


The orbital frequency of an electron in the hydrogen atom ______.


Let Ee and Ep represent the kinetic energy of electron and photon, respectively. If the de-Broglie wavelength λp of a photon is twice the de-Broglie wavelength λe of an electron, then `E_p/E_e` is ______.

(speed of electron = `c/100`, c = velocity of light)


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 ______.


Compute the shortest and the longest wavelength in the Lyman series of hydrogen atom.


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 ______.


Explain Balmer series of spectral lines for the hydrogen atom.

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