| Date | May 2011 | Marks available | 3 | Reference code | 11M.2.HL.TZ1.1 |
| Level | Higher level | Paper | Paper 2 | Time zone | Time zone 1 |
| Command term | Explain | Question number | 1 | Adapted from | N/A |
Question
Data analysis question.
The photograph below shows a magnified image of a dark central disc surrounded by concentric dark rings. These rings were produced as a result of interference of monochromatic light.
The graph below shows how the ring diameter D varies with the ring number n. The innermost ring corresponds to n = 1. The corresponding diameter is labelled in the photograph. Error bars for the diameter D are shown.
It is suggested that the relationship between D and n is of the form
D = cnp
where c and p are constants.
Explain what graph you would plot in order to determine the value of p.
Markscheme
we can re-write the suggested relation as log D = log c + p log n;
now we can plot a graph of log D versus log n;
the slope of the (straight line) graph is equal to p;
Accept logs in any base.
Examiners report
[N/A]
Syllabus sections
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