Q46 / 60 · JEE Advanced 2015 (Paper 1) · Physics

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 that 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

Correct answer: 3

Solution

12.5%→18th of initial power
∵ After each T, P will be half
P→TP2 →TP4 →TP8
∴ Total time =3T
n=3

Hence, the correct answer is 3.

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