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

Question

Half-life period of a substance is 1600 min. How much fraction of the substance will remain after 6400mm? (A)  (1/16)  (B)  (1/4)  (C)  (1/8)  (D)  (1/2)

Tardigrade Admin · Accepted Answer

Given, half-life period = 1600 min Total time = 6400 min Number of life (n)=(Total text time/Half-life text period) =(6400/1600)=4 Amount left =(1/2n)=(1/24)=(1/16)

Q. Half-life period of a substance is 1600 min. How much fraction of the substance will remain after 6400mm?

$\frac{1}{16}$

$\frac{1}{4}$

$\frac{1}{8}$

$\frac{1}{2}$

Given, half-life period = 1600 min
Total time = 6400 min
Number of life $(n) = \frac{T o t a l t im e}{H a l f - l i f e p er i o d}$
$= \frac{6400}{1600} = 4$
Amount left $= \frac{1}{2 ^{n}} = \frac{1}{2 ^{4}} = \frac{1}{16}$