What is the probability of finding a particle in a well of width ∝ at a position \( \frac{\alpha }{4} \) from the wall if n = 1, if n = 2, if n = 3. Use the normalized wavefunction ψ(x,t) =\( \left ( \frac{2}{a} \right )^{\frac{1}{2}} \) sin\(\left ( \frac{n\pi x}{a} \right )e^{-\frac{iEt}{h cut}}\).

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