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ziro4ka [17]
3 years ago
5

The number of radioactive nuclides from a radioactive source has reduced to 1/6

Physics
1 answer:
Anni [7]3 years ago
4 0

Answer:

λ = 0.03 s⁻¹

Explanation:

The formula for decay constant can be used as follows:

N = N_oe^{-\lambda t}\\\\\frac{N}{N_o} = e^{-\lambda t}

where,

\frac{N}{N_o} = ratio of remaining nuclei to the initial value of nuclei = \frac{1}{6} = 0.167

t = time = 60 s

λ = decay constant = ?

Therefore,

0.167 = e^{-\lambda(60\ s)}\\\\-\lambda (60\ s) = ln(0.167)\\\\\lambda = \frac{-1.7917}{- 60\ s}

<u>λ = 0.03 s⁻¹</u>

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