CML 511 Quantum Chemistry: Tutorial 3, Due date: 6th Sep 2024, 9 am I sem, 2024-25 1. A particle of mass m is confined to a one-dimensional box of length L. Calculate the probability of finding it in the following regions: (a) 0 ≤ x ≤ ½-½ 4, (b) 0 ≤ x ≤ ≤L, (c) L - 8x ≤ x ≤L + 8x. Derive expressions for a general value of n. Then evaluate the probabilities (i) for n = 1, (ii) in the limit n co. Compare the latter to the classical expectations.