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JEE Mains · Physics · STD 12 - 12. atoms

A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is \(x \times 10^{15}\,Hz\). The value of \(x\) is (Given \(h =4.25 \times 10^{-15}\,eVs\) )

  1. A \(2\)
  2. B \(3\)
  3. C \(4\)
  4. D \(8\)
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Answer & Solution

Correct Answer

(B) \(3\)

Step-by-step Solution

Detailed explanation

\(6={ }^4 C _2 \quad \Rightarrow n _2=4\) \(h v= E _4- E _1\) \(\therefore v=13.6\left(\frac{1}{1^2}-\frac{1}{4^2}\right) \times \frac{1}{4.25 \times 10^{-15}}\) \(=3 \times 10^{15}\,Hz\)
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