Question

Suppose that the electron in the previous problem could be measured while in its ground state. (a) What would be the probability of finding it somewhere in the region 0 < x < L/4? (b) What would be the probability of finding it in a very narrow region Δx = 0.01L wide centered on x = 5L/8?

Name: suppose that the electron in the previous problem could be measured while in its ground state a what would be the probability of finding it somewhere in the region 0 x l4 b what would be the 20607
Uploaded: 2022-06-25T03:04:09-08:00
Duration: 3 min 48 s
Channel: Suzanne W.
Description: suppose that the electron in the previous problem could be measured while in its ground state a what would be the probability of finding it somewhere in the region 0 x l4 b what would be the 20607

          Suppose that the electron in the previous problem could be measured while in its ground state.
(a) What would be the probability of finding it somewhere in the region 0 < x < L/4?
(b) What would be the probability of finding it in a very narrow region Δx = 0.01L wide centered on x = 5L/8?

Added by Nicholas W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Suzanne W.

06/25/2022

Step 1

In the ground state of the electron, the probability density function is given by |Ψ(x)|^2 = (2/L)sin^2(nπx/L), where n = 1 for the ground state. To find the probability of finding the electron in the region 0 < x < L/4, we need to integrate the probability Show more…

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Suppose that the electron in the previous problem could be measured while in its ground state. (a) What would be the probability of finding it somewhere in the region 0 < x < L/4? (b) What would be the probability of finding it in a very narrow region Δx = 0.01L wide centered on x = 5L/8?