A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fuel. The amount of fuel at the beginning is such that the total power requirement of the village is 12.5% of the electrical power available from the plant at the time. If the plant is able to meet the total power needs of the village for a maximum period of nT years, then the value of n is

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answer is 3.

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Detailed Solution

Pfinal =12.5100Pinitial ⇒PfinalPinitial=18=NE1N0E1=12nE1=Energy emitted per sec⇒n=3,no of half lives

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