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AP EAMCET · Chemistry · Structure of Atom

The angular momentum of electron in \(\mathrm{H}\) atom in a particular \(n\) state is \(\frac{h}{\pi}\). What is the energy in \(J\) required to excite the electron from this particular \(\mathrm{n}\) state to \((\mathrm{n}+1)\) state?
\(\left(x=+2.18 \times 10^{-18} \mathrm{~J}\right)\)

  1. A \(\mathrm{x}\)
  2. B \(\frac{5 x}{36}\)
  3. C \(\frac{36 x}{5}\)
  4. D \(\frac{3 x}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{5 x}{36}\)

Step-by-step Solution

Detailed explanation

Since \(\mathrm{L}=\frac{\mathrm{nh}}{2 \pi}=\frac{\mathrm{h}}{\pi} \Rightarrow \mathrm{n}=2 ;(\mathrm{n}+1)=3\) Thus, \(\Delta \mathrm{E}=13.6\left(\frac{1}{\mathrm{n}_1^2}-\frac{1}{\mathrm{n}_2^2}\right) \mathrm{eV}\)…