A nuclear power supplying electrical power to a villages uses a radioactive material of half life `T` year 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 `n T` years , then the value of `n ` is

Answer

3

Explanation

`12.5 % rarr (1/8)^(th)` of initial power
`:'` After each T, P will be half
`P overset(T)(rarr) P/2 overset(T)(rarr) P/4 overset(T)(rarr) P/8`
`:.` Total time `=3T`
`n=3`