Atoms And Nuclei Question 16

Question: The kinetic energy of the electron in an orbit of radius r in hydrogen atom is (e = electronic charge [MP PMT 1987]

Options:

A) $ \frac{e^{2}}{r^{2}} $

B) $ \frac{e^{2}}{2r} $

C) $ \frac{e^{2}}{r} $

D) $ \frac{e^{2}}{2r^{2}} $

Show Answer

Answer:

Correct Answer: B

Solution:

Potential energy of electron in nth orbit of radius r in H-atom $ U=-\frac{e^{2}}{r} $ (in CGS) ∵ K.E. $ =\frac{1}{2}|P.E.| $
Þ $ K=\frac{e^{2}}{2r} $



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