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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

The radii of Bohr orbit are directly proportional to ______ - Physics

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प्रश्न

The radii of Bohr orbit are directly proportional to ______ 

पर्याय

  • Principal quantum number

  • Square of principal quantum number

  • Cube of principal quantum number

  • Independent of principal quantum number

MCQ
रिकाम्या जागा भरा

उत्तर

The radii of Bohr orbit are directly proportional to the Square of principal quantum number. 

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Bohr’s Atomic Model
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 15: Structure of Atoms and Nuclei - MCQ’S

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संबंधित प्रश्‍न

Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to ______.


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


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.


Derive an expression for the radius of the nth Bohr orbit for the hydrogen atom.


Using the expression for the radius of orbit for the Hydrogen atom, show that the linear speed varies inversely to the principal quantum number n the angular speed varies inversely to the cube of principal 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 ______


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 ____________.


For which one of the following, Bohr model is not valid?


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


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For an electron, discrete energy levels are characterised by ____________.


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)


If n is principal quantum number and r is the radius of the orbit in which electron revolves around nucleus, then its kinetic energy is ____________.


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)


When an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength 'λ'. When it jumps from the fourth orbit to third orbit, the wavelength emitted by the photon will be ______.


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 ______.


If Vn and Vp are orbital velocities in nth and pth orbit respectively, then the ratio Vp: Vn is ______.


In Bohr’s atomic model, speed and time period of revolution of an electron in n = 3 level are respectively.


Calculate the energy of the electron in the ground state of the hydrogen atom. Express it in joule and in eV.


Calculate the radius of the first Bohr orbit in the hydrogen atom.


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)`.


Find the ratio of radius of 1st Bohr orbit to that of 4th Bohr orbit.


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