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

`E'xx(12.5)/(100)=E`
`E=(E)/(8) " " ( E="Power requirement to the village", E'="Power of plant")`
`E=(E')/(2^(3))`
Number of half life`=3`
So total time required `=3xxT"years"`