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The amount of C-14 isotope in a piece of wood is found to be 1/16th of its amount present in a fresh piece of wood. The age of wood, half-life period of C-14 is 5770 years, is ______ years. -

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Question

The amount of C-14 isotope in a piece of wood is found to be 1/16th of its amount present in a fresh piece of wood. The age of wood, half-life period of C-14 is 5770 years, is ______ years.

Options

  • 10000

  • 23080

  • 3526

  • 40036

MCQ
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Solution

The amount of C-14 isotope in a piece of wood is found to be 1/16th of its amount present in a fresh piece of wood. The age of wood, half-life period of C-14 is 5770 years, is 23080 years.

Explanation:

`"N"/"N"_0 = 1/16`

`(1/2)^"n" = (1/2)^4`

n = 4

Total time = n × t1/2

= 4 × 5770

= 23080 years.

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