The Wave Function for a Particle Confined to a One-Dimensional $\Psi$

The wave function for a particle confined to a one-dimensional box located between x = 0 and x = L is given by $\Psi$ (x) = A sin (n $\pi$ x/L) + B cos (n $\pi$ x/L) .The constants A and B are determined to be

A) $\sqrt { 2 / L }$ ,0
B) $\sqrt { 1 } / L$ , $\sqrt { 1 / L }$
C) 0, $\sqrt { 2 / L }$
D) $\sqrt { 2 } / L$ , $\sqrt { 2 / L }$
E) 2/L,0

Correct Answer:

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