If m is mass of electron, v its velocity, r the radius of stationary circular orbit…

Physics · JEE Advanced · NTA ExamsAtoms and Nuclei

If m is mass of electron, v its velocity, r the radius of stationary circular orbit around a nucleus with charge Ze, then from Bohr’s first postulate, the kinetic energy \(\mathrm{K}=\frac{1}{2} \mathbf{m}^{2}\)of the electron in C.G.S. system is equal to
  1. \(\frac{1}{2} \frac{Z^{2}}{r}\)
  2. \(\frac{1}{2} \frac{Z^{2}}{r^{2}}\)
  3. \(\frac{Z^{2}}{r}\)
  4. \(\frac{z}{r^{2}}\)

Answer

(A) 1 2 Z^ 2 r

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