Nuclei Ques 3

3. The half life of radium is $1600$ years. The fraction of a sample of radium that would remain after $6400$ years

[1991]

(a) $1 / 4$

(b) $1 / 2$

(c) $1 / 8$

(d) $1 / 16$

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Answer:

Correct Answer: 3.(d)

Solution: (d) $\frac{N}{N_0}=\left(\frac{1}{2}\right)^{6400 / 1600}=\left(\frac{1}{2}\right)^4=\frac{1}{16}$