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The activity of a certain radionuclide decreases to 15 percent of its original value in 10 days. What is its half life? [ln (0.15) = -1.9] -

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Question

The activity of a certain radionuclide decreases to 15 percent of its original value in 10 days. What is its half life?

[ln (0.15) = -1.9]

Options

  • 3.00 days

  • 3.50 days

  • 3.65 days

  • 3.8 days

MCQ

Solution

3.65 days

Explanation:

`t = 1/lambdaIn[N_0/N]`

`lambda = 1/tIn[N_0/N] = 1.9/10` day-1

`t_{1"/"2} = 0.693/lambda = 6.93/1.9 = 3.65` days

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