`3.8` days is the half-life period of a sample. After how many days. The sample will become `1//8 th ` of the original substance ?

Options

A. `11.4`
B. `3.8`
C. 3
D. None of these

Answer

A

Explanation

(a) `(N)/(N_0) = ((1)/(2))^n rArr (1)/(8) = ((1)/(2))^n rArr n = 3`
Now `t = n xx T_(1//2) = 3 xx 3.8 = 11.4 days`.