Which of the following statements is incorrect. Select one: 

O a. Hermition operators do not give real eigenvalues 

O b. Eigenfunctions must go to zero as X goes to infinity 

O c. The Hamiltonian is a Hermitian operator 

O d. eigenfunctions of Hermitian operators with different eigenvalues are orthogonal 

O e. As temperature increases, the wavelength corresponds to the maximum intensity in black body radiation shifts to lower wavelength 

For a particle in a box of length L and in state with n = 2, at what positions is the probability density a maximum? Select one: 

O a. L/8 and 3L / 8 

O b. L /6 and 3L /6 

O c.L/3 and 2L /3 

O d. L /7 and 3L/7 

e.L/4 and 3L/4