Question

In Bohr's model of hydeogen atom, let PE represent potential energy, and TE the total energy. In going to a higher level:

• A. PE increases, TE increases
• B. PE decreases. TE decreases
• C. PE increases, TE decreases
• D. PE decreases, TE increases

Answer 1

The correct option is A PE increases, TE increases

In Bohr's model of hydrogen atom PE is given by,

$\frac{-kz{e}^2}{r}$

Here we go from lower level to higher level, which implies that radius increases, which implies that numerically PE of system decreases.

But due to negative sign it actually increases.Hence when going to higher energy level, PE increases.

And as we know TE is given by,

$\frac{-2{\pi }^{2}m{k}^2{z}^2{e}^4}{n^2{h}^2}$

And as we go into higher level, n increases and TE numerically decreases. But due to negative sign , it increases.

Ans: PE increases, TE increases.