For question 1 & 2 choose from the following options for graphs of the probabili
ID: 1432582 • Letter: F
Question
For question 1 & 2 choose from the following options for graphs of the probability density |?(x)|2 as a function of position x (in nm).
1) Suppose you measure the position of the electron and you find that it is located at 4 nm with an uncertainty of ±1 nm. Which of the probability density functions above represents the electron after the measurement?
2) What if your detector was much better, and measure the electron's position with an uncertainty of ±0.1 nm? Which of the probability density functions above would represent the electron after this measurement?
0 246 8 0 24 6 00 2 46 0 2 46 100 2 6 8 10 0 2 468 10 G. There is not enough information to determine the probability densityExplanation / Answer
Concepts :
A) density function must have peak at the point where electron is located ( in question at X =4)
B) wider the graph higher the deviation and so higher the uncertainty.
Thus conclusion is as follows
In question no. 1 uncertainty is very large so deviation is highest . THUS GRAPH (A) WILL BE THE ANSWER
In question no.2 uncertainty is relatively less so graph will be narrower . THUS GRAPH (E) will be the answer
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