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Question

Physics Question on Bohr’s Model for Hydrogen Atom

In Bohr’s atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level:

A

All K, P and E increase

B

K decreases, P and E increase

C

P decreases, K and E increase

D

K increases, P and E decrease

Answer

K decreases, P and E increase

Explanation

Solution

TE=Z2me48(nh0)2TE = \frac{-Z^2me^4}{8(nh∈_0)^2}

PE=Z2me44(nh0)2PE = \frac{-Z^2me^4}{4(nh∈_0)^2}

KE=Z2me48(nh0)2KE = \frac{Z^2me^4}{8(nh∈_0)^2}

As electron makes transition to higher level, total energy and potential energy increases (due to negative sign) while the kinetic energy reduces.