A nuclear power plant supplying electrical power to a village uses...

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

Correct answer

Step-by-step solution

12.5% \to {\left(\dfrac{1}{8}\right)}

^{th}

of initial power<br >

∵

After each T, P will be half<br >

P\overset{T}{\to}\dfrac{P}{2}\overset{T}{\to}\dfrac{P}{4}\overset{T}{\to}\dfrac{P}{8}

<br >

∴

Total time

= 3T

<br >

n = 3

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