a) The pi electrons in benzene can crudely be viewed as particles moving in a two-dimensional box whose length is a = b = 3.0 . Predict the wavelength for the HOMO and LUMO transitions

b) The pi electrons in anthracene can be viewed as particles moving in a two-dimensional box whose length is a and width is b. The max wavelength of its absorption spectrum is 357 nm. Assuming a = 3b. Calculate b.