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A radioactive sample is undergoing α decay. At any time t1, its activity is A and another time t2, the activity is AA5. What is the average life time for the sample? -

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Question

A radioactive sample is undergoing α decay. At any time t1, its activity is A and another time t2, the activity is `"A"/5`. What is the average life time for the sample?

Options

  • `("t"_2 - "t"_1)/(ln 5)`

  • `(ln ("t"_2 + "t"_1))/2`

  • `(ln 5)/("t"_2 - "t"_1)`

  • `("t"_1 - "t"_2)/ln 5`

MCQ

Solution

`("t"_1 - "t"_2)/ln 5`

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