Discussion Forum

 A nuclear power plant supplying electrical power to a village uses a radioactive material of half-life  T years as 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

Answer:

Explanation:

 Let initial power available from the plant is P₀ . After time t=nT or n half livers , this will become

  $\left(\frac{1}{2}\right)^{n}P_{0}$  , Now , it is given that,

$\left(\frac{1}{2}\right)^{n}P_{0}=12.5$  % of  $P_{0}=(0.125)P_{0}$

    Solving this equation we get ,

                 n=3