Determine a value for N so that the wave function is appropriately normalized and calculate the uncertainty △x in the particle's position.

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See the provided image for the wave function for a particle in a box, where N is a constant. 

Determine a value for N so that the wave function is appropriately normalized and calculate the uncertainty △x in the particle's position.

(Hint: In reality, the wave function does not drop discontinuously to zero at the ends of the well. Assume the change in the wave functino occurs over such a small distance that you can neglet this effect in your calculation. 

The image displays a piecewise function, denoted as Ψ(x), and is defined as follows:

- Ψ(x) = N for the interval 0 < x < L
- Ψ(x) = 0 elsewhere

This function is commonly used to represent a region where a specific condition or property is met within the interval (0, L) and is zero elsewhere outside this interval.
Transcribed Image Text:The image displays a piecewise function, denoted as Ψ(x), and is defined as follows: - Ψ(x) = N for the interval 0 < x < L - Ψ(x) = 0 elsewhere This function is commonly used to represent a region where a specific condition or property is met within the interval (0, L) and is zero elsewhere outside this interval.
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