Atomic Structure Question 367

Question: The angular momentum of an electron in a given orbit is J. Its kinetic energy will be:

Options:

A) $ \frac{1}{2},\frac{J^{2}}{mr^{2}} $

B) $ \frac{Jv}{r} $

C) $ \frac{J^{2}}{2m} $

D) $ \frac{J^{2}}{2,\pi } $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Angular momentum $ J=mvr $ $ J^{2}=m^{2}v^{2}r^{2} $ or $ \frac{J^{2}}{2}=( \frac{1}{2}mv^{2} )mr^{2} $ or $ KE=\frac{J^{2}}{2mr^{2}} $


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