A) Greater than that of sphere B
B) Less than that of sphere B
C) Equal to that of sphere B
D) Equal to double that of sphere B
Correct Answer: C
Solution :
\[\frac{{{E}_{A}}}{{{E}_{B}}}=\left( \frac{{{A}_{A}}}{{{A}_{B}}} \right)\,\,{{\left( \frac{{{T}_{A}}}{{{T}_{B}}} \right)}^{4}}\] \[={{\left( \frac{{{A}_{A}}}{{{r}_{B}}} \right)}^{2}}{{\left( \frac{{{T}_{A}}}{{{T}_{B}}} \right)}^{4}}\] \[={{\left( \frac{1}{4} \right)}^{2}}{{\left( \frac{4000}{2000} \right)}^{4}}=1\]
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