Question

An electron is confined to a box. In the 3rd allowed energy level, the energy is 27 eV. Find the length of the box, and the energy in the ground state.

Answer 1

Given E = 27 eV = 27*1.6*10^-19 J

For particle in a box,

The energy of n^th quantum state or n^th energy level is

for 3rd allowed energy level,

According to question 27*1.6*10^-19 J =

h = 6.626176 x 10^-34joule-seconds.

   

                                                     = 3.5428509 * 10^-10 m = 3.54 Angstrom