Question

An electron in an atom jumps in such a way that its kinetic energy changes from $x$ to $\frac{x}{4}$. The change in potential energy will be:

• A. $+\frac{3}{2}x$
• B. $-\frac{3}{8}x$
• C. $+\frac{3}{4}x$
• D. $-\frac{3}{4}x$

Answer 1

The correct option is A $+\frac{3}{2}x$

We know that:
$potentialenergy=-2\times kineticenergy$

$△(P.E)=P{E}_2-P{E}_1$

$P{E}_1=-2x$
$P{E}_2=-2\times \frac{x}{4}$

$△(P.E)=-2\times \frac{x}{4}-(-2x)$

$△(P.E)=-2\times \frac{x}{4}+2x$
$△(P.E)=+\frac{3}{2}x$