A) Equal to that on A
B) Four times that on A
C) Two times that on A
D) Half that on A
Correct Answer: B
Solution :
\[\text{Stress}=\frac{\text{force}}{\text{Area}}\]\ \[\text{Stress}\propto \frac{\text{1}}{\pi {{\text{r}}^{\text{2}}}}\] \[\frac{{{S}_{B}}}{{{S}_{A}}}={{\left( \frac{{{r}_{A}}}{{{r}_{B}}} \right)}^{2}}={{(2)}^{2}}\Rightarrow {{S}_{B}}=4{{S}_{A}}\]
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