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1. Given the spatial wavefunction (x) = Ax exp(-kx) (0 < x < ∞, k > 0), 4(x) = 0 (0 > x), (a) what value must the constant A take in terms of k in order that u is normalized?

1. Given the spatial wavefunction (x) = Ax exp(-kx) (0 < x < ∞, k > 0), 4(x) = 0 (0 > x), (a) what value must the constant A take in terms of k in order that u is normalized?

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PLEASE SHOW THE STEPS OF INTEGRATION! thats the part i need help with

 

1. Given the spatial wavefunction y(x) = Ax exp(-kx) (0 < x < ∞, k > 0), 4(x) = 0 (0 > x), (a) what value must the constant A take in terms of k in order that ų is normalized? (b) If k = 0.5 x 10¹⁰ m‍¹, what is the probability of finding the particle described by ↳ between x = 0 m and x = 2.0 x 10-10 m?
Transcribed Image Text:1. Given the spatial wavefunction y(x) = Ax exp(-kx) (0 < x < ∞, k > 0), 4(x) = 0 (0 > x), (a) what value must the constant A take in terms of k in order that ų is normalized? (b) If k = 0.5 x 10¹⁰ m‍¹, what is the probability of finding the particle described by ↳ between x = 0 m and x = 2.0 x 10-10 m?
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Step 1: Concept

We will use the concept of normalization condition 

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