For eigen functions $\psi_{1}=\sqrt{\frac{1}{b}} \sin \left(\frac{\pi \mathrm{x}}{\mathrm{b}}\right)$ and $\psi_{2}=\sqrt{\frac{2}{\mathrm{b}}} \sin \left(\frac{2 \pi \mathrm{x}}{\mathrm{b}}\right)$ of a particle in a $1-\mathrm{D}$ box of length $b\;(0 \leq \mathrm{x} \leq \mathrm{b})$
(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 $\psi_{1}$