मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता ११

Hydrogen atom has only one electron, so mutual repulsion between electrons is absent. However, in multielectron atoms mutual repulsion between the electrons is significant

Advertisements
Advertisements

प्रश्न

Hydrogen atom has only one electron, so mutual repulsion between electrons is absent. However, in multielectron atoms mutual repulsion between the electrons is significant. How does this affect the energy of an electron in the orbitals of the same principal quantum number in multielectron atoms?

टीपा लिहा
Advertisements

उत्तर

The energy of electrons is determined by the value of n in the hydrogen atom and by `n + l` in the multielectron atom. Thus for a given principal quantum number the electrons of different orbitals would have different energy.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Structure of Atom - Multiple Choice Questions (Type - I) [पृष्ठ २०]

APPEARS IN

एनसीईआरटी एक्झांप्लर Chemistry Exemplar [English] Class 11
पाठ 2 Structure of Atom
Multiple Choice Questions (Type - I) | Q 41 | पृष्ठ २०

संबंधित प्रश्‍न

(i) State Bohr's quantization condition for defining stationary orbits. How does the de Broglie hypothesis explain the stationary orbits?

(ii) Find the relation between three wavelengths λ1, λ2 and λ3 from the energy-level diagram shown below.


Calculate the radius of Bohr’s fifth orbit for hydrogen atom


If the photon of the wavelength 150 pm strikes an atom and one of its inner bound electrons is ejected out with a velocity of 1.5 × 107 ms–1, calculate the energy with which it is bound to the nucleus.


State Bohr's postulate to define stable orbits in the hydrogen atom. How does de Broglie's hypothesis explain the stability of these orbits?


Find the wavelength of the radiation emitted by hydrogen in the transitions (a) n = 3 to n= 2, (b) n = 5 to n = 4 and (c) n = 10 to n = 9.


Calculate the magnetic dipole moment corresponding to the motion of the electron in the ground state of a hydrogen atom.


A beam of  light having wavelengths distributed uniformly between 450 nm to 550 nm passes through a sample of hydrogen gas. Which wavelength will have the least intensity in the transmitted beam?


When a photon is emitted by a hydrogen atom, the photon carries a momentum with it. (a) Calculate the momentum carries by the photon when a hydrogen atom emits light of wavelength 656.3 nm. (b) With what speed does the atom recoil during this transition? Take the mass of the hydrogen atom = 1.67 × 10−27 kg. (c) Find the kinetic energy of recoil of the atom.


Calculate the de-Broglie wavelength associated with the electron revolving in the first excited state of the hydrogen atom. The ground state energy of the hydrogen atom is −13.6 eV.


In Bohr model of hydrogen atom, which of the following is quantised?


According to Bohr's model of hydrogen atom, an electron can revolve round a proton indefinitely, if its path is ______.


The Bohr model for the spectra of a H-atom ______.

  1. will not be applicable to hydrogen in the molecular from.
  2. will not be applicable as it is for a He-atom.
  3. is valid only at room temperature.
  4. predicts continuous as well as discrete spectral lines.

If a proton had a radius R and the charge was uniformly distributed, calculate using Bohr theory, the ground state energy of a H-atom when (i) R = 0.1 Å, and (ii) R = 10 Å.


The inverse square law in electrostatics is |F| = `e^2/((4πε_0).r^2)` for the force between an electron and a proton. The `(1/r)` dependence of |F| can be understood in quantum theory as being due to the fact that the ‘particle’ of light (photon) is massless. If photons had a mass mp, force would be modified to |F| = `e^2/((4πε_0)r^2) [1/r^2 + λ/r]`, exp (– λr) where λ = mpc/h and h = `h/(2π)`. Estimate the change in the ground state energy of a H-atom if mp were 10-6 times the mass of an electron.


How will the energy of a hydrogen atom change if n increases from 1 to ∞?


The number of times larger the spacing between the energy levels with n = 3 and n = 8 spacing between the energy level with n = 8 and n = 9 for the hydrogen atom is ______.


A hydrogen atom in its first excited state absorbs a photon of energy x × 10-2 eV and exited to a higher energy state where the potential energy of electron is -1.08 eV. The value of x is ______.


A 20% efficient bulb emits light of wavelength 4000 Å. If the power of the bulb is 1 W, the number of photons emitted per second is ______.

[Take, h = 6.6 × 10-34 J-s]


On the basis of Bohr's theory, derive an expression for the radius of the nth orbit of an electron of hydrogen atom.


Energy and radius of first Bohr orbit of He+ and Li2+ are:

[Given RH = −2.18 × 10−18 J, a0 = 52.9 pm]


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×