Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2015-Paper-1 A nuclear power plant supplying electrical p…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2015-Paper-1 Numeric Response
Published on: August 14, 2026

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 form 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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Verified by Experts
The correct answer is:
3

(3)

Where, A 0 is the initial activity of the radioactive material and A is the activity at t.

So,

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