Home
Class 12
PHYSICS
Using Bohr's postulates obtain the e...

Using Bohr's postulates obtain the expression for Bohr radius .

Text Solution

Verified by Experts

Considered an electron revolving around the nucleus of hydrogen atom.The electrostatic force of attraction,between the revolving electron and the nucleus provides the required centripetal force to keep the elctron in its orbits.
i.e., `(mv^(2))/(r )=(1)/(4piepsi_(0))(e^(2))/(r^(2))`
`implies mv^(2)r=(e^(2))/(4piepsi_(0))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KARNATAKA II PUC APRIL 2020 CLASS -XII

    OSWAAL PUBLICATION|Exercise PART-D (Answer any three of the following questions:)|5 Videos
  • KARNATAKA II PUC APRIL 2020 CLASS -XII

    OSWAAL PUBLICATION|Exercise PART-C (Answer any five of the following questions:)|8 Videos
  • II PUC MARCH-2018

    OSWAAL PUBLICATION|Exercise PART-D|11 Videos
  • MAGNETISM & MATTER

    OSWAAL PUBLICATION|Exercise TOPIC-2 Magnetism ( Short Answer Type questions-II)|3 Videos

Similar Questions

Explore conceptually related problems

Give the expression for Bohr magneton.

(a) Using Bohr's postulates, derive the expression for the total energy of the electron in the stationary states of the hydrogen atom. (b) Using Rydberg formula, calculate the wavelengths of the spectral lines of the first member of the Lyman series and of the Balmer series.

Using Bohr.s postulates, derive the expression for the frequency of radiation emitted when electron in hydrogen atom undergoes transition from higher energy state (quantum number n_1 ) to the lower state ( n_f ). When electron in hydrogen atom jumps from energy state n_1 = 4 to n_f = 3, 2, 1, indentify the spectral series to which the emission lines belong.

Using Bohr's postulates of the atomic model, derive the expression for radius of the electron orbit. Hence obtain the expression for Bohr's radius.

Write Bohr's postulates for the hydrogen atom model.

Write Bohr's postulates for the hydrogen atom model.

Write Bohrs postulates for the hydrogen atom model.

Writer Bohr's postulates for the hydrogen atom model.

Show that the electron revolving around the nucleus in a radius 'r with orbital speed 'r' has magnetic moment evr/2. Hence, using Bohr's postulate of the quantization of angular momentum, obtain the expression for the magnetic moment of hydrogen atom in its ground state.

Derive an expression for the radius of n^(th) Bohr's orbit of hydrogen atom hence write the expression for the radius of first orbit of hydrogen atom.