Suppose the potential energy between an electron and proton at a separation r is given by…

Chemistry · JEE Main · NTA ExamsAtomic Structure

Suppose the potential energy between an electron and proton at a separation r is given by \(U=-\frac{k e^{2}}{Z r}\), where k is a constant. For such a hypothetical hydrogen atom, calculate the radius of first Bohr's orbit.
  1. \(\frac{h^{2}}{2 \pi^{2} m e^{2} k}\)
  2. \(\frac{h}{\pi^{2} m e^{2} k}\)
  3. \(\frac{e^{2} k^{2}}{2 \pi^{2} m}\)
  4. \(\frac{k}{4 \pi^{2} m e^{2}}\)

Answer

(A) h^ 2 2 ^ 2 m e^ 2 k

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