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AP EAMCET · PHYSICS · Atomic Physics

The electrostatic potential energy of the electron in an orbit of hydrogen is -6.8 eV . The speed of the electron in this orbit is ( C is speed of light in vacuum)

  1. A \(\frac{C}{137}\)
  2. B \(\frac{C}{274}\)
  3. C \(\frac{2 C}{137}\)
  4. D \(\frac{3 C}{137}\)
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Answer & Solution

Correct Answer

(B) \(\frac{C}{274}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{U}=-6.8 \mathrm{eV}\) \(\therefore\) Total energy, \(\mathrm{E}_{\mathrm{n}}=\frac{\mathrm{U}}{2}=\frac{-6.8}{2}=-3.4 \mathrm{eV}\) \(\Rightarrow \frac{-13.6}{\mathrm{n}^2}=-3.4\) \(\therefore \quad \mathrm{n}=2\) \(\therefore\) Speed,…
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