Question:

The minimum energy to ionize an atom is the energy required to

Updated On: Jun 20, 2022
  • add one electron to the atom
  • excite the atom from its ground state to its first excited state
  • remove one outermost electron from the atom
  • remove one innermost electron from the atom
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The Correct Option is C

Solution and Explanation

The minimum energy to ionize an atom is the energy required to excite an electron in the atom from its ground state corresponding to $ n=1, $ to its ionization level corresponding to $ n=\infty $ .
If the electron is given an amount of energy equal to the ionization energy, the electron is just able to become a free electron and the atom is about to be ionized. When this occurs, one outermost electron from the atom is just to be removed from the atom much higher energy is necessary to free an innermost electron from the atom because this will occur only after the outer electrons are all removed.
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Concepts Used:

Atomic Spectra

The emission spectrum of a chemical element or chemical compound is the spectrum of frequencies of electromagnetic radiation emitted due to an electron making a transition from a high energy state to a lower energy state. The photon energy of the emitted photon is equal to the energy difference between the two states.

Read More: Atomic Spectra

Spectral Series of Hydrogen Atom

Rydberg Formula:

The Rydberg formula is the mathematical formula to compute the wavelength of light.

\[\frac{1}{\lambda} = RZ^2(\frac{1}{n_1^2}-\frac{1}{n_2^2})\]

Where,

R is the Rydberg constant (1.09737*107 m-1)

Z is the atomic number

n is the upper energy level

n’ is the lower energy level

λ is the wavelength of light

Spectral series of single-electron atoms like hydrogen have Z = 1.

Uses of Atomic Spectroscopy:

  • It is used for identifying the spectral lines of materials used in metallurgy.
  • It is used in pharmaceutical industries to find the traces of materials used.
  • It can be used to study multidimensional elements.