Atomic Structure - Result Question 61

####37. The wavelength of a spectral line for an electronic transition is inversely related to

(a) the number of electrons undergoing the transition

(b) the nuclear charge of the atom

(c) the difference in the energy of the energy levels involved in the transition

(d) the velocity of the electron undergoing the transition

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Answer:

Correct Answer: 37. (c)

Solution:

  1. Transition energy $(\Delta E)=k Z^{2}\left(\frac{1}{n _1^{2}}-\frac{1}{n _2^{2}}\right)=\frac{h c}{\lambda}$

$$ \text { i.e. } \Delta E \propto \frac{1}{\lambda} $$



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