The particle wave with a trapped quantum particle is quantized. Consider a particle trapped in a Cone$-$dimensional well of fixed size. Suppose you have a particle in the ground state. You also have a device allow you to add energy to the particle.$(1)$ What is the amount of energy you can successfully add to the particle and make the particle jump to the next energy level, in eV$.($Consider particle mass of $2\mathrm{.}5$ x $10-27$ kg in a one$-$dimensional box with length $3\mathrm{.}0$ nm$.)(2)$ If photon radiation is added to the particle, what is the frequency of the energy you should use? $(3)$ Does the intensity of the photon radiation affect the jumping of the quantum particle?