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…

Question

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 n T years, then the value of n is

Aicharya · Accepted Answer

12.5 % → 1 8 t h of initial power ∵ After each T, P will be half P → T P 2 → T P 4 → T P 8 ∴ Total time = 3 T n = 3

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

Solution