A) \[8.2\times {{10}^{10}}J\]
B) \[8.2\times {{10}^{9}}J\]
C) \[8.2\times {{10}^{13}}J\]
D) \[8.2\times {{10}^{16}}J\]
Correct Answer: C
Solution :
Mass of a uranium nucleus \[=92\times 1.6725\times {{10}^{-27}}+143\times 1.6747\times {{10}^{-27}}\] \[=393.35\times {{10}^{-27}}kg\] Number of nuclei in the given mass \[=\frac{1}{393.35\times {{10}^{-27}}}=2.542\times {{10}^{24}}\] Energy released \[=200\times 2.542\times {{10}^{24}}MeV\] \[=5.08\times {{10}^{26}}MeV=8.135\times {{10}^{13}}J=8.2\times {{10}^{13}}J\]
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