Engineering
Physics
Radioactivity New
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 nT years, then the value of n is

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Solution

If N0 is total initial material available

Power requirement = 12.5% of available, so plant will be able to supply till the amount becomes 12.5% of initial, so

 N0TN0250%TN0425%TN0812.5%

So total time = 3T