Answered

a radioactive nucleus has a half-life of 5 × 108 years. consider a sample of rock (say, in an asteroid) that solidified right after the solar system formed (4.5 × 109 years ago).



Answer :

Therefore, the current mass will be 0.0017002 times the sample's initial mass.

Given:

half life of the sample in question, t^=5 x 108 years

We are aware that the solar system formed roughly 4.6 x 109 years ago.

Let the starting amount for the solar system's formation sample be, mo

The current ultimate quantity would then be:

m = mo x (1/2) (t^/t)

m= mo x (1/2) 4.6 x 10^9/(5x10^8)

m= mo x 0.0017002

Therefore, the current mass will be 0.0017002 times the sample's initial mass.

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