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The energy produced by converting 1 gram mass of a nuclear fuel into energy completely is:(a) 9 × 1016 J (b) 9 × 1014 J (c) 9 × 1015 J (d) 9 × 1013 J
(d) 9 × 1013 J
Explanation
Given,
Mass, m = 1 gram = $\frac{1}{100}kg$ [converted gram into kilogram]
Speed of light, c = 3 × 10 8m/s
Energy, E = ?
Solution
The energy produced by converting 1 gram $(\frac{1}{100}kg)$ mass of a nuclear fuel is given by Einstein's equation as:
$E=m{c}^{2}$
Substituting the given values in the above equation
$E=\left(\frac{1}{1000}\right)\times {\left(3\times {10}^{8}\right)}^{2}=9\times {10}^{13}J$
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