A) \[16:1\]
B) \[1:4\]
C) \[12:1\]
D) \[1:12\]
Correct Answer: D
Solution :
\[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{\sigma {{A}_{1}}T_{1}^{2}}{\sigma {{A}_{2}}T_{2}^{2}}\] \[\therefore \] \[\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{{{p}_{1}}}{{{p}_{2}}}\times {{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}\] \[=\frac{20}{15}{{\left( \frac{500}{1000} \right)}^{4}}=\frac{1}{12}\]
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