A nuclear power supplying electrical power to a villages uses a radioactive meterial of half life `T` year as the fiel . 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 plate at that time if the plate is able to meet the total power needs of the village for a maximum period of `n T` year , then the value of `n ` is

Answer

C

Explanation

`N_(0) overset(T) rarr (N_(0))/(2) overset(T) rarr (N_(0))/(4) overset(T) rarr (N_(0))/(8)`
`100% 50% 25% 12.5%`
therefore half life are required Therefore `n = 3`