A) \[4.58\times {{10}^{-6}}J/{{m}^{3}}\]
B) \[6.37\times {{10}^{-9}}J/{{m}^{3}}\]
C) \[81.35\times {{10}^{-12}}J/{{m}^{3}}\]
D) \[3.3\times {{10}^{-3}}J/{{m}^{3}}\]
Correct Answer: A
Solution :
[a] \[{{E}_{rms}}=720\] The average total energy density \[=\frac{1}{2}{{\in }_{0}}E_{0}^{2}=\frac{1}{2}{{\in }_{0}}{{[\sqrt{2}{{E}_{rms}}]}^{2}}={{\in }_{0}}E_{rms}^{2}\] \[=8.85\times {{10}^{-12}}\times {{(720)}^{2}}=4.58\times {{10}^{-6}}\,J/{{m}^{3}}\]
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