The power obtained in a reactor using U235 disintegration is 1000 kW. The mass decay of U235 per hour is (a) 10 microgram (b) 20 microgram (c) 40 microgram (d) 1 microgram

Answer: (c). Energy in one hour E = Pt = 10⁶×3600 = 3.6×10⁹ J. Mass converted m = E/c² = 3.6×10⁹9×10¹⁶ = 4×10⁻⁸ kg. 4×10⁻⁸ kg = 40 microgram. So the answer is (c) 40 microgram.

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Nuclear Fission & Fusion

The power obtained in a reactor using U235 disintegration is 1000 kW. The mass decay of U235 per hour is

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Answer: (c)

Energy in one hour $E = Pt = 10^6\times3600 = 3.6\times10^9\text{ J}$ .
Mass converted $m = \dfrac{E}{c^2} = \dfrac{3.6\times10^9}{9\times10^{16}} = 4\times10^{-8}\text{ kg}$ .
$4\times10^{-8}\text{ kg} = 40\text{ microgram}$ .
So the answer is (c) $40$ microgram.

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