First slide

Radio activity

Question

The half-life of radon is 3.8 days. Three fourth Of a radon sample decay in

Easy

A

5.02 days
B

15.2 days
C

7.6 days
D

I 1.4 days

Solution

Decayed fraction $= \frac{3}{4}$ , so undecayed fraction $= \frac{1}{4}$
$Now \frac{N}{N_{0}} = {(\frac{1}{2})}^{n} \Rightarrow \frac{1}{4} = {(\frac{1}{2})}^{n} \Rightarrow n = 2 \Rightarrow t = n x T_{1 / 2} = 2 x 3.8 = 7.6 days$

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