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Ede4ka [16]
3 years ago
5

A radioactive nucleus has a half-life of 5 x 108 years. Assuming that a sample of rock (say, in an asteroid) solidified right af

ter the solar system formed, approximately what fraction of the radioactive element should be left in the rock today?
Physics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

So the present mass will be 0.0017002 times of the initial mass of the sample.

Explanation:

Given:

  • half life of the given sample, t'=5\times 10^8\ yrs
  • We know that solar system came in to existence approximately 4.6\times 10^{9} years ago.

<u>Let the initial quantity on the formation of the solar system be, </u>m_o<u />

Then the final quantity at present be:

m=m_o\times (\frac{1}{2})^{(t/t')}

m=m_o\times (\frac{1}{2} )^{4.6\times 10^9\div(5\times 10^8)}

m=m_o\times 0.0017002

So the present mass will be 0.0017002 times of the initial mass of the sample.

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