The following Eigen function is a typical solution of the time-independent Schrödinger equation andsatisfies boundary conditions for a particle in a confined space of a certain length.y(x) = sin(~77)(a) Plot the wave function as a function of x for L = 30 cm and n = 1, 2, 3 and 4.Note: You will need to have 4 plots in the same graph.(b) On a separate graph, plot the probability density (112) as a function of x using the conditionsspecified in part (a). Note: You will need to have 4 plots in the same graph.(c) Report your observations for parts (a) and (b)

a) Graph of wavefunction as a function of "X" wavefunction for n=1 and L=30cm wavefunction for n=2…

Answered: The following Eigen function is a…

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