A) \[4\times {{10}^{-5}}kg\]
B) \[3\times {{10}^{-5}}kg\]
C) \[5\times {{10}^{-5}}kg\]
D) \[8\times {{10}^{-5}}kg\]
Correct Answer: A
Solution :
Einstein by his theory of relativity proved that mass and energy are related to each other. If a substance loses an amount Am of its mass, an equivalent amount A£ of energy is produced i.e., \[\Delta E=\Delta m\,{{c}^{2}}\] where c is speed of light. Given, \[E=10\times {{10}^{5}}kWh={{10}^{6}}\times 3.6\times {{10}^{6}}J.\], \[c=3\times {{10}^{8}}m/s\]. \[\therefore \] \[\Delta m=\frac{E}{{{c}^{2}}}=\frac{3.6\times {{10}^{12}}}{{{(3\times {{10}^{8}})}^{2}}}\] \[\Delta m=4\times {{10}^{-5}}\,kg\]
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