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The electron in a hydrogen atom makes a ...

The electron in a hydrogen atom makes a transition from an excited state the to ground state. Which of the following statements is true?

A

Its kinetic energy increases and its potential and total energies decrease.

B

Its kinetic energy decreases, potential energy increases, and its total energy remains the same.

C

Its kinetic and total energies decrease and its potential energy increases

D

Its kinetic, potential, and total energy decreases.

Text Solution

Verified by Experts

We know that the electron comes nearer to the nucleus, the potential energy decreases. So `(-KZ e ^(2))/(r )= ` PE and r decreases.
The KE will increase `[ K E = (1)/(2) |PE| = (1)/(2) (kZ E ^(2))/(r )]`
The total energy decreases . `[ TE = (1)/(2) (kZe ^(2))/( r )]`
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