Aparticle of mass m is placed in a three-dimensional rect- angular box with edge lengths 2l, l, and l. inside the box the potential energy is zero, and outside it is in nite; therefore, the wave function goes smoothly to zero at the sides of the box. calculate the energies and give the quan- tum numbers of the ground state and the rst ve excited states (or sets of states of equal energy) for the particle in the box.

the energy of groud state =

Explanation:

the energy of a 3 dimensional rectangular box is given by

where h is planks constant m is the mass of the particle , and are principal quantum number in x y and z direction. and , and are length of box in x y and z direction.

therefore the energy of ground state will be when , and = 1

therefore energy of ground state =

=

hello there!

your answer is a “generator”

a generator does not create energy but instead it transforms it.

it’s basically a motor working in reverse.

they should be similar or the same