Q3) Figure shows the wavefunction of a particle confined within the region between x=0 nm and x=L=1.0 nm. The wave function is zero outside this region. [10] ψ(x) = c(1 - x/L)
a) Determine the values of the constant c that makes this normalized wavefunction.
b) Draw the graph of probability density P(x).
c) Calculate the probability of finding the particle in a region of width δx = 0.01 nm at positions x1 = 0.05 nm, x2 = 0.5 nm, and x3 = 0.95 nm.