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An electron has a wavefunction 4(x) = Ce-lxl/xo where xo is a constant and C=1/√x, for normalization. For this case, obtain expressions for (a) (x) and Ax in terms of xo. (b) Also calculate the probability that the electron will be found within a standard deviation of its average position, that is, in the range (x) - Ax to (x) + Ax, and show that this is independent of xo.

An electron has a wavefunction 4(x) = Ce-lxl/xo where xo is a constant and C=1/√x, for normalization. For this case, obtain expressions for (a) (x) and Ax in terms of xo. (b) Also calculate the probability that the electron will be found within a standard deviation of its average position, that is, in the range (x) - Ax to (x) + Ax, and show that this is independent of xo.

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An electron has a wavefunction 4(x) = Ce-lxl/xo where xo is a constant and C=1/√x, for normalization. For this case, obtain expressions for (a) (x) and Ax in terms of xo. (b) Also calculate the probability that the electron will be found within a standard deviation of its average position, that is, in the range (x) - Ax to (x) + Ax, and show that this is independent of xo.
Transcribed Image Text:An electron has a wavefunction 4(x) = Ce-lxl/xo where xo is a constant and C=1/√x, for normalization. For this case, obtain expressions for (a) (x) and Ax in terms of xo. (b) Also calculate the probability that the electron will be found within a standard deviation of its average position, that is, in the range (x) - Ax to (x) + Ax, and show that this is independent of xo.
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