A) 3.2 g
B) 6.4 g
C) 1.6 g
D) 2.5 g
Correct Answer: C
Solution :
Key Idea: Mass can be converted into energy through mass energy equivalence relation. From Einsteins mass energy relation the energy is given by \[E=\Delta m{{c}^{2}}\] where c is speed of light. Given, \[E=40\times {{10}^{6}}\,kWh\] \[=40\times {{10}^{6}}\times 36\times {{10}^{5}}\,J\] \[\therefore \] \[\Delta m=\frac{E}{{{c}^{2}}}=\frac{4\times 36\times {{10}^{12}}}{{{(3\times {{10}^{8}})}^{2}}}\] \[=16\times {{10}^{-4}}\,kg\] \[\Rightarrow \] \[\Delta m=1.6\,g\]
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