An electron is described by the wave function with the following x dependence: ψ(x) = 0 for x < 0 = Ce−x for x ≥ 0, where C is a constant. (a) Determine the value of C is the wave-function is normalised. (b) Where is the electron most likely to be found? (c) Calculate the expectation value of position < x > for the electron. (d) What is the uncertainty in finding the position of the electron?

An electron is described by the wave function with the following x dependence: ψ(x) = 0 for x < 0 = Ce−x for x ≥ 0, where C is a constant. (a) Determine the value of C is the wave-function is normalised. (b) Where is the electron most likely to be found? (c) Calculate the expectation value of position < x > for the electron. (d) What is the uncertainty in finding the position of the electron?

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Question

An electron is described by the wave function with the following x dependence:

ψ(x) = 0 for x < 0

= Ce^−x for x ≥ 0,

where C is a constant.

(a) Determine the value of C is the wave-function is normalised.
(b) Where is the electron most likely to be found?
(c) Calculate the expectation value of position < x > for the electron.
(d) What is the uncertainty in finding the position of the electron?

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