Question

Given: Half life is $5730$ years.

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Updated on : 2022-09-05

Solution

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Correct option is A)

Decay constant, $λ=t_{1/2}ln2 =1.209×10_{−4}yr_{−1}$

Activity is given by: $dtdN =λN$

Hence, $N=λdN/dt =6.66×10_{10}$

Number of carbon atoms in 1 gm is $126×10_{23} =5×10_{22}$

Fraction of $_{14}C$ is given by:

$5×10_{22}6.66×10_{10} =1.33×10_{−12}$

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