Question

A particle in an infinite well is in the ground state with an energy of 1.92 eV. How much energy must be added to the particle to reach the fifth excited state

(n = 6)? The seventh excited state (n = 8)?

fifth excited state	eV
seventh excited state	eV

Answer 1

The energy levels of the particle in infinite potential well is given by,

where

is the mass of the particle

is the length of the potential well.

for the ground state,

Then the energy of fifth excited level is

Then energy added to the particle is

similarly, the energy for seventh excited state is

Then energy added to the particle is