मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Calculate the Radius of Second Bohr Orbit in Hydrogen Atom from the Given Data

Advertisements
Advertisements

प्रश्न

Calculate the radius of second Bohr orbit in hydrogen atom from the given data.

Mass of electron = 9.1 x 10-31kg

Charge on the electron = 1.6 x 10-19 C

Planck’s constant = 6.63 x 10-34 J-s.

Permittivity of free space = 8.85 x 10-12 C2/Nm2

बेरीज
Advertisements

उत्तर

`r_n=((h^2epsilon_0)/(pime^2))n^2`


`:.r_2=((h^2epsilon_0)/(pime^2))(2)^2`

`r_2=((6.63xx10^(-34))^2xx8.85xx10^(-12)xx(2)^2)/(3.14xx9.1xx10^(-31)xx(1.6xx10^(-19))^2)`

`=(43.96 xx 10^-68 xx 8.85 xx 10^-12 xx 4)/(3.14 xx 9.1 xx 10^-31 xx 2.56 xx 10^-38)`

 =2.127x10-10m

=2.127 A° 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2013-2014 (March)

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

An electron is orbiting in 5th Bohr orbit. Calculate ionisation energy for this atom, if the ground state energy is -13.6 eV.


State Bohr’s third postulate for hydrogen (H2) atom. Derive Bohr’s formula for the wave number. Obtain expressions for longest and shortest wavelength of spectral lines in ultraviolet region for hydrogen atom


The energy associated with the first orbit in the hydrogen atom is - 2.18 × 10-18 J atom-1. What is the energy associated with the fifth orbit?


In Bohr’s model of the hydrogen atom, the radius of the first orbit of an electron is r0 . Then, the radius of the third orbit is:

a) `r_0/9`

b) `r_0`

c) `3r_0`

d) `9r_0`


A positive ion having just one electron ejects it if a photon of wavelength 228 Å or less is absorbed by it. Identify the ion.


A filter transmits only the radiation of wavelength greater than 440 nm. Radiation from a hydrogen-discharge tube goes through such a filter and is incident on a metal of work function 2.0 eV. Find the stopping potential which can stop the photoelectrons.


In which of the following systems will the wavelength corresponding to n = 2 to n = 1 be minimum?


Answer the following question.
Calculate the orbital period of the electron in the first excited state of the hydrogen atom.


Write postulates of Bohr’s Theory of hydrogen atom.


For an electron in the second orbit of hydrogen, what is the moment of momentum as per the Bohr's model?


Which of these statements correctly describe the atomic model according to classical electromagnetic theory?


If the radius of first electron orbit in hydrogen atom be r then the radius of the fourth orbit ill be ______.


When an electric discharge is passed through hydrogen gas, the hydrogen molecules dissociate to produce excited hydrogen atoms. These excited atoms emit electromagnetic radiation of discrete frequencies which can be given by the general formula

`bar(v) = 109677 1/n_1^2 - 1/n_f^2`

What points of Bohr’s model of an atom can be used to arrive at this formula? Based on these points derive the above formula giving description of each step and each term.


Consider two different hydrogen atoms. The electron in each atom is in an excited state. Is it possible for the electrons to have different energies but same orbital angular momentum according to the Bohr model? Justify your answer.


Derive an expression for the frequency of radiation emitted when a hydrogen atom de-excites from level n to level (n – 1). Also show that for large values of n, this frequency equals to classical frequency of revolution of an electron.


The simple Bohr model cannot be directly applied to calculate the energy levels of an atom with many electrons. This is because ______.


An ionised H-molecule consists of an electron and two protons. The protons are separated by a small distance of the order of angstrom. In the ground state ______.

  1. the electron would not move in circular orbits.
  2. the energy would be (2)4 times that of a H-atom.
  3. the electrons, orbit would go around the protons.
  4. the molecule will soon decay in a proton and a H-atom.

The ground state energy of hydrogen atoms is -13.6 eV. The photon emitted during the transition of electron from n = 3 to n = 1 unknown work function. The photoelectrons are emitted from the material with a maximum kinetic energy of 9 eV. Calculate the threshold wavelength of the material used.


The value of angular momentum for He+ ion in the first Bohr orbit is ______.


According to Bohr atom model, in which of the following transitions will the frequency be maximum?


Orbits of a particle moving in a circle are such that the perimeter of the orbit equals an integer number of de-Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth orbital will therefore be proportional to:


Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is ______.


The total energy of an electron in the nth orbit of the hydrogen atom is proportional to ______.


Find the angular momentum of an electron revolving in the second orbit in Bohr's hydrogen atom.


How much is the angular momentum of an electron when it is orbiting in the second Bohr orbit of hydrogen atom?


The figure below is the Energy level diagram for the Hydrogen atom. Study the transitions shown and answer the following question:

  1. State the type of spectrum obtained.
  2. Name the series of spectrum obtained.


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


The de Broglie wavelength of an electron in the first Bohr’s orbit of hydrogen atom is equal to ______.


Calculate the radius of the second orbit of He+.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×