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JEE Advanced 2015 Paper 1
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© examsnet.com
Question : 7
Total: 60
A nuclear power plant supplying electrical power to 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
3T
5T
6T
1T
Validate
Solution:
A
A
0
(
1
2
)
1
T
Where
A
0
is th initial activity of the radioactive material and A is the activity at t.
So,
12.5
100
=
(
1
2
)
∴t=3T
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