Question

In the Bohr model of the hydrogen atom, radiation is emitted when the electron?

Answer 1

Bohr's Model of a Hydrogen Atom:

• Bohr Model of the hydrogen atom was first proposed as the planetary model, and later an assumption concerning the electrons was made.
• The assumption was based on the quantization of the structure of atoms.
• Bohr’s model of the hydrogen atom is generally based on three postulates, which can be given as:
• An electron moves around the nucleus in a fixed circular orbit.
• An electron’s angular momentum in the orbit is said to be quantized.
• The change in an electron’s energy when it makes a quantum jump from one orbit to another is always known to be accompanied by the emission or absorption of a photon.

Emission of radiation:

• According to the Bohr model of the hydrogen atom, radiation is only emitted when an electron jumps from a higher energy state to a lower energy state.
• According to the model, the electron being in its stable stationary orbital does not emit or absorb any energy.
• Only when an electron gets energy equal to its energy gap between the transition orbits, does it get excited and jumps to the higher state.
• But as it is unstable at the higher energy level, hence it emits the radiation and jumps back to its lower state.
• The energy of the emitted photon is always said to be equal to the difference in energy between the two energy levels for a specific transition, which is given as:

$\mathrm{E}=\mathrm{h\nu }$

( where $\mathrm{h}=$ planks constant and $\mathrm{v}=$ frequency of the photon emission)

Hence, In the Bohr model of the hydrogen atom, radiation is emitted when the electron jumps back from a higher to lower energy state.