In an interference experiment with electrons, you find the most intense fringe is at $x=7.0 \mathrm{cm} .$ There are slightly weaker fringes at $x=6.0$ and $8.0 \mathrm{cm},$ still weaker fringes at $x=4.0$ and $10.0 \mathrm{cm},$ and two very weak fringes at $x=1.0$ and $13.0 \mathrm{cm} .$ No electrons are detected at $x<0 \mathrm{cm}$ or $x>14 \mathrm{cm}$
a. Sketch a graph of $|\psi(x)|^{2}$ for these electrons.
b. Sketch a possible graph of $\psi(x)$
c. Are there other possible graphs for $\psi(x) ?$ If so, draw one.