The Wave Function for a Particle in a One-Dimensional Box $\Psi = A \sin \left( \frac { n \pi x } { L } \right)$

question 25

Multiple Choice

The wave function for a particle in a one-dimensional box is $\Psi = A \sin \left( \frac { n \pi x } { L } \right)$ .Which statement is correct?

• A)This wavefunction gives the probability of finding the particle at x.
• B)|\(\Psi\)(x)|² gives the probability of finding the particle at x.
• C)|\(\Psi\)(x)|² \(\Delta\)x gives the probability of finding the particle between x and x + \(\Delta\)x.
• D) \(\int _ { 0 } ^ { L } \Psi ( x ) d x\) gives the probability of finding the particle at a particular value of x.
• E) \(\int _ { 0 } ^ { L } | \Psi ( x ) | ^ { 2 } d x\) gives the probability of finding the particle between x and x +\(\Delta\)x.

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