Home
Class 12
PHYSICS
Obtain an expression for the kinetic ene...

Obtain an expression for the kinetic energy of the electrons in the Bohr.s model of hydrogen atom (Z - 1). Start from equating the electrostatic force with the centripetal force required and then use the quantisation condition for angular momentum.

Text Solution

AI Generated Solution

To derive the expression for the kinetic energy of electrons in the Bohr model of the hydrogen atom, we will follow these steps: ### Step 1: Equate Electrostatic Force and Centripetal Force In the Bohr model, the electron is in a circular orbit around the nucleus (proton). The electrostatic force (Coulomb's law) provides the necessary centripetal force for the electron's circular motion. The electrostatic force \( F_e \) between the electron and the nucleus is given by: \[ F_e = \frac{k \cdot e^2}{r^2} ...
Promotional Banner

Similar Questions

Explore conceptually related problems

The energy of electron in an excited hydrogen atom is -3.4eV . Its angular momentum according to bohr's theory will be

In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number (n) as

Using Bohr's postulates, obtain the expression for the total energy of the electron in the stationary states of the hydrogen atom. Hence draw the energy level diagram showing how the line spectra corresponding to Balmer series occur due to transition between energy levels.

In the Bohr model of the hydrogen atom, the ratio of the kinetic energy to the total energy of the electron in a quantum state n is ……..

In the Bohr model of the hydrogen atom, the ratio of the kinetic energy to the total energy of the electron in a quantum state n is ……..

An electron in Bohr's hydrogen atom has an energy of -3.4 eV. The angular momentum of the electron is

The ratio of the energy required to remove an electron from the first three Bohr's orbit of Hydrogen atom is

The energy that is needed to remove an electron from the 1st Bohr orbit or Hydrogen atom is

The energy of an electron in excited hydrogen atom is -3.4 eV . Then, according to Bohr's therory, the angular momentum of the electron of the electron is

Using Bohr's postulates, obtain the expressions for (i) kinetic energy and (ii) potential energy of the electron in stationary state of hydrogen atom. Draw the energy level diagram showing how the transitions between energy levels result in the appearance of Lymann Series.