Question

Ratio between potential energy, kinetic energy and total energy of electron in hydrogen atom are

• A. $\frac{KE}{PE}=-\frac{1}{2}$
• B. $\frac{E}{PE}=\frac{1}{2}$
• C. $\frac{KE}{E}=-\frac{1}{2}$
• D. $\frac{E}{PE+KE}=-1$

Answer 1

Answer: (A), (B)

$\frac{E}{PE}=\frac{1}{2}$

Magnitude of:
$KE=\frac{z{e}^2}{2r}PE=\frac{-z{e}^2}{r}TE=\frac{-z{e}^2}{2r}$
Hence
$A)PE=-2\times KE.\text{Hence (a) is correct}$
$B)PE=2E.\text{Hence (b) is correct}$
$C)E=-KE\text{Hence (c) is wrong}$
$D)PE+KE=-2KE+KE=-KE=E.\text{Hence (d) is wrong}$
Hence (a) and (b) are correct