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As an electron makes a transition from a...

As an electron makes a transition from an excited state to the ground state of hydrogen-like atom`//`ion:

A

Its kinetic energy increases but potential energy and total energy decrease

B

kinetic energy, potential energy and total energy decrease

C

kinetic energy decreases, potential energy increases but total energy remains same

D

kinetic energy and total energy decrease but potential energy increases.

Text Solution

Verified by Experts

The correct Answer is:
A
From the energy conservation
K.E. = `1/(8piepsilon_0)e^2/r rArr K.E. prop 1/r `
When r is decreased , kinetic energy is increased
P.E. =`(-1)/(4piepsilon_0)e^2/r rArr P.E. prop (-1)/r`
But the potential energy is decreased
T.E.=`(-1)/(8piepsilon_0)e^2/r rArr T.E. prop (-1)/r`
As a result total energy also decreases.
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