A) \[\text{63 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{20}}}\text{J}\]
B) \[\text{63 }\!\!\times\!\!\text{ 1}{{\text{0}}^{14}}\text{J}\]
C) \[\text{63 }\!\!\times\!\!\text{ 1}{{\text{0}}^{11}}\text{J}\]
D) \[\text{63 }\!\!\times\!\!\text{ 1}{{\text{0}}^{10}}\text{J}\]
Correct Answer: D
Solution :
Here: Mass of hydrogen \[{{m}_{1}}=1g=1\times {{10}^{-3}}kg\] mass of helium \[{{m}_{2}}=0.993\,g\] \[=0.993\times {{10}^{-3}}kg\] Energy released in this reaction \[E=\Delta m{{c}^{2}}=({{m}_{1}}-{{m}_{2}}){{c}^{2}}\] \[=\{(1\times {{10}^{-3}})-(0.993\times {{10}^{-3}})\}\times {{(3\times {{10}^{8}})}^{2}}\] \[=7\times {{10}^{-6}}\times 9\times {{10}^{16}}=63\times {{10}^{10}}J\]
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