Q3. [10 marks]: A. Determine the energy for quantum number n = 1, 2, 3, 4, 5, 6, i', 8, 9, 10. (0.5 x 10 = 5 marks, Direct Marking} B. A quantum particle with a particular mass is conned to a one-dimensional region of zero potential energy between x = 0 and x = L. Prove that the wavelength of the [1) wave function, and {2) probability density changed with increasing quantum number. [0.25 x 20 = 5 marks, Direct Marking)