Modern Physics 1 Question 14

11. As an electron makes a transition from an excited state to the ground state of a hydrogen like atom/ion

(2015 Main)

(a) kinetic energy, potential energy and total energy decrease

(b) kinetic energy decreases, potential energy increases but total energy remains same

(c) kinetic energy and total energy decrease but potential energy increases

(d) its kinetic energy increases but potential energy and total energy decrease

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Solution:

  1. The expressions of kinetic energy, potential energy and total energy are

and

Kn=me48ε02n2h2Kn1n2Un=me44ε02n2h2Un1n2En=me48ε02n2h2En1n2

In the transition from some excited state to ground state value of n decreases, therefore kinetic energy increases, but potential and total energy decreases.



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