Modern Physics 5 Question 30

33. 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

(2015 Adv.)

Analytical & Descriptive Questions

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Solution:

  1. Let initial power available from the plant is P0. After time t=nT or n half lives, this will become 12nP0. Now, it is

given that, 12nP0=12.5 of P0=(0.125)P0

Solving this equation we get, n=3



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