)By what factor do you need to change the box length, a, to decrease the zero point energy by a factor of 900 for a fixed value of m?

Question

Consider the result for the energy eigenvalues for the one-dimensional box = n = 1,2,3, ...

En= (n^2 h^2)/8ma^2

a)By what factor do you need to change the box length, a, to decrease the zero point energy by a factor of 900 for a fixed value of m?

b) By what factor would you have to increase the box length, a, at constant n to have the zero point energies of an electron be equal to the zero point energy of a proton in the box?

Answer 1