Calculate (P) and (P₂) for the n = 2 state of a particle in a one-dimensional box of length a. Show that __________.
a. P = ħ²π² / (2ma²)
b. P₂ = 4ħ²π² / (2ma²)
c. P = 2ħ²π² / (ma²)
d. P₂ = ħ²π² / (ma²)