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प्रश्न
If in nuclear fission of a piece of uranium, 0.6 g mass is lost, how much energy (in kW h) is obtained?
संख्यात्मक
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उत्तर
Given Data:
Mass lost (Δm) = 0.6 g = 0.6 × 10−3 kg
Speed of light (c) = 3 × 108 m/s
Conversion factor = 1 kW h = 3.6 × 106 J
1. Calculate Energy in Joules (E):
E = Δm × c2
= (0.6 × 10−3) × (3 × 108)2
= 0.6 × 10−3 × 9 × 1016
= 5.4 × 1013 J
2. Convert Energy to kW h:
E (in kW h) = `(5.4 xx 10^13 J)/(3.6 xx 10^6 J//kW h)`
= 1.5 × 107 kW h
The energy obtained is 1.5 × 107 kW h.
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