Question

The half-life period of a substance is 1600 min. How much fraction of the substance will remain after 6400 min?

• A. 1/16
• B. 1/4
• C. 1/8
• D. 1/2

Answer 1

The correct option is A 1/16

$t_{1/2}$ $=1600min,T=6400min$

Number of half time $=\frac{6400}{1600}=4$

We know that, N $={\left(\frac{1}{2}\right)}^n{N}_0$

or, $\frac{N}{N_0}={\left(\frac{1}{2}\right)}^n={\left(\frac{1}{2}\right)}^4=\frac{1}{16}$