In a nuclear reactor, the fuel is consumed at the rate of 1 m g s - 1 . The power generated in kilowatt is

Question

In a nuclear reactor, the fuel is consumed at the rate of 1 m g s - 1 . The power generated in kilowatt is, 9 × 10 4, 9 × 10 7, 9 × 10 8, 9 × 10 12

MARKS App · Accepted Answer

From Einstein's mass energy relation the energy released is ∆ E = ∆ m c 2 where ∆ m is mass and c is speed is light. Given Δ m = 1mg = 1 × 1 0 - 6 kg, c = 3 × 1 0 8 m / s ∴ ∆ E = 1 × 10 - 6 × 3 × 10 8 2 ∆ E = 9 × 10 10 J The rate at which energy is dissipated is known as power, i e , P = ∆ E t = 9 × 10 10 1 = 9 × 10 10 W Since, 10 3 W = 1 k W ∴ P = 9 × 10 7 k W

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