For eigen functions $\psi_1 = \sqrt{\frac{1}{b}}\sin\left(\frac{\pi x}{b}\right)$ and $\psi_2 = \sqrt{\frac{2}{b}}\sin\left(\frac{2\pi x}{b}\right)$ os particle in a 1 – D box of length $b\,(0 \leq x \leq b)$
(b)$\psi_2$ is normalized but not orthogonal to $\psi_1$
(a)$\psi_1$ is normalized but not orthogonal to $\psi_2$
(c)$\psi_2$ is normalized and orthogonal to $\psi_1$
(d)$\psi_2$ is neither normalized nor orthogonal to $\psi_1$