Question:

Which of the following statement(s) is(are) correct about the spectrum of hydrogen atom?

Updated On: Mar 20, 2024
  • The ratio of the longest wavelength to the shortest wavelength in Balmer series is $\frac{9}5$
  • There is an overlap between the wavelength ranges of Balmer and Paschen series

  • The wavelength of Lyman series are given by $\left(1+\frac{1}{ m ^{2}}\right) \lambda_{0}$, where $\lambda_{0}$ is the shortest wavelength of Lyman series and $m$ is an integer
  • The wavelength ranges of Lyman and Balmer series do not overlap
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The Correct Option is A, D

Solution and Explanation

The correct answer is option
(A):The ratio of the longest wavelength to the shortest wavelength in Balmer series is $\frac{9}5$
(D): The wavelength ranges of Lyman and Balmer series do not overlap

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Concepts Used:

Dual Nature of Matter

  • The concept of Dual Nature of Matter was proposed after various experiments supported both wave as well particle nature of light.
  • The particle nature of matter came into the picture when Albert Einstein looked up to the experiment conducted by Max Planck and observed that the wavelength and intensity of matter have a certain impact on the ejected electrons. Experiments such as the photoelectric effect suggested that light has a particle nature, i.e. light travels in form of packets of energy (E = h\(\nu\))
  • On the other hand, the wave nature of matter was hypothesised by De-Broglie and confirmed by the Davisson - German experiment.
  • Therefore, it’s concluded that matter has dual nature; it means that it has both the properties of a particle as well as a wave.
dual nature of matter
Dual Nature of Matter