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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The Answer of 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.

The Wave Function for a Particle in a One-Dimensional Box Ψ=Asin⁡(nπxL)\Psi = A \sin \left( \frac { n \pi x } { L } \right)Ψ=Asin(Lnπx​)

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