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If half life of a radioactive element is 3 hours after 27 hours it activity becomes ______.

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Question

If half life of a radioactive element is 3 hours after 27 hours it activity becomes ______.

Options

  • `1/32`

  • `1/512`

  • `1/8`

  • `1/264`

MCQ
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Solution

If half life of a radioactive element is 3 hours after 27 hours it activity becomes `underline(1/512)`.

Explanation:

A = `"A"_0 [1/2]^("t"/("T_(1/2)))`

`"A"/"A"_0 = [1/2]^(27/3) = [1/2]^9 = 1/512`

`"A"/"A"_0 = 1/512`

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Radioactive Decay Law
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