V(x) Problem 4 - 25 points When a particle of mass mis confined in the semi-infinite square well shown at the right, it's wave function will be of the form 4 (x ) = A sin kx for 0 /2 Suppose that for L = 10 nm, one of the L/2 X bound states has k = 3.4 m. (a) Find the energy of the state. (b) Write down the matching conditions that the wave function must satisfy at x = L/2. (c) Determine which state this is; i.e. find the value of n where n = 1 for the ground state, n = 2 for the first excited state, etc. You need to explain or show some work to get credit