An electron in an atom jumps in such a way that its kinetic energy changes from x to `x/4`. The change in potential energy will be:

Options

A. `+(3)/(2)x`
B. `-(3)/(8)x`
C. `+(3)/(4)x`
D. `-(3)/(4)x`

Answer

A

Explanation

`PE=-2KE`
`therefore` PE will change from `-2x` to `-(2x)/(4)`
Change in potential energy `=(-(2x)/(4))-(-2x)`
`=-(x)/(2)+2x+(3x)/(2)`.