First slide

Radio activity

Question

The half-life of polonium is 140 days. After how many days, 16 gm polonium will be reduced to 1 gm (or 15 gm will decay)?

Moderate

A

700 days
B

280 days
C

560 days
D

420 days

Solution

$\frac{N}{N_{0}} = {(\frac{1}{2})}^{t / 140} \Rightarrow \frac{1}{16} = {(\frac{1}{2})}^{t / 140} \Rightarrow \frac{t}{140} = 4 \Rightarrow t = 560 days$

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