A) \[9\times {{10}^{13}}\,J\]
B) \[3\times {{10}^{8}}\,J\]
C) \[3\times {{10}^{15}}\,J\]
D) \[9\times {{10}^{15}}\,J\]
Correct Answer: A
Solution :
According to Einsteins theory of relativity, matter is completely converted into energy or vice-versa. The relation is \[E=\Delta m{{c}^{2}}\] Given, \[\Delta m=1\,mg\,=1\times {{10}^{-3}}g,\,c=3\times {{10}^{8}}m/s\] \[\therefore \] \[E=1\times {{10}^{-3}}\times {{(3\times {{10}^{8}})}^{2}}\] \[=9\times {{10}^{13}}\,J\]
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