Question

An electron in an atoms jumps in such a way that kienetic energy changes from k to k/4.the potential energy will be

Answer 1

If the kienetic energy changes from k to k/4 then then there may be a change in potential energy. As known energy can nither be created nor distroyed. So the decrease in kienetic energy will be equal to increase in potential energy.
$k + p \: = the \: total \: energy \: in \: electron.$
Then if k decrease by 4 times then p must increase by 4 times.
$\frac{k}{4} + 4p = total \: energy.$
Therefore p will change to 4p.

Answer 2

Answer: Here is your answer↓

+ 3x /2

Explanation:

change in K.E.(ΔK.E.) = K.E. final ( K.E. f )  - K.E. initial ( K.E. i )

                        Δ K.E. = X/4 -X

                                   = - 3X/4

Now, we know that Δ K.E. = - ( Δ P.E. /2 )

                                   -3x /4 = Δ P.E. /2

                                      Δ P.E. =3X /2

Therefore ,the change in potential energy will be Δ P.E. =3X /2