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TS EAMCET · Chemistry · Structure of Atom

Which one of the following transitions of an electron in hydrogen atom emits radiation of the lowest wavelength?

  1. A \(n_2=\infty\) to \(n_1=2\)
  2. B \(n_2=4\) to \(n_1=3\)
  3. C \(n_2=2\) to \(n_1=1\)
  4. D \(n_2=5\) to \(n_1=3\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(n_2=2\) to \(n_1=1\)

Step-by-step Solution

Detailed explanation

As the value of \(n\) increases, the difference of energy between successive orbits decreases, ie, \(E_2-E_1>E_3-E_2>E_4-E_3 \text { and so on... }\) \(\because \quad \Delta E=\frac{h c}{\lambda}\) \(\therefore \lambda\) is lowest for \(n_2=2\) to \(n_1=1\) transition.