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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
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उत्तर

The required relation is rn = a0n2   

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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 one sentence:

Name the element that shows the simplest emission spectrum.


The radii of Bohr orbit are directly proportional to ______ 


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)  


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.    


Calculate the wavelength for the first three lines in the Paschen series. 
(Given RH =1.097 ×107 m-1)  


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'?


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


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 Bohr's model of hydrogen atom, the period of revolution of the electron in any orbit is proportional to ______.


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 emission spectrum, for any series, the principal quantum number is n. Corresponding maximum wavelength λ is ______.
(R = Rydberg's constant)


When an electron in hydrogen atom is excited from its 3rd to 5th stationary orbit, tbe change in angular momentum of electron is (Planck's constant: h = 6.62 x 10-34 Js) ____________.


Angular speed of an electron in the ground state of hydrogen atom is 4 × 1016 rad/s. What is its angular speed in 4th orbit?


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


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 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 third line of the Balmer series, in the emission spectrum of the hydrogen atom, is due to the transition from the ______.


The value of Rydberg constant in joule is ______.


The triply ionised beryllium (Be+++) has the same electron orbital radius as that of the ground state of the hydrogen atom. The energy state (n) of triply ionised beryllium is ______.

(Z for beryllium = 4)


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)


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


What is the origin of spectral lines? Obtain an expression for the wave number of a line in hydrogen spectrum.


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


Explain Balmer series of spectral lines for the 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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