| Date | May 2012 | Marks available | 1 | Reference code | 12M.1.SL.TZ2.16 |
| Level | Standard level | Paper | Paper 1 | Time zone | Time zone 2 |
| Command term | Question number | 16 | Adapted from | N/A |
Question
A metal wire X with length L and radius r has a resistance R. A wire Y of length 4L made from the same material as X has the same resistance R. What is the radius of Y?
A. 2r
B. 4r
C. \(\frac{r}{2}\)
D. \(\frac{r}{4}\)
Markscheme
A
Examiners report
The vast majority of candidates understood, correctly, that the radius had to be larger – but many chose B, incorrectly thinking that the radius, rather than the cross-sectional area, changes proportionately with the length for two wires of common resistance.
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