A radioactive element has half-life period 1600 year. After 6400 year, what part of element will remain?

Question

A radioactive element has half-life period 1600 year. After 6400 year, what part of element will remain? (A)  (1/4)  (B)  (1/8)  (C)  (1/16)  (D)  (1/2)

Tardigrade Admin · Accepted Answer

Number of half lives =(6400/1600)=4 So, amount of element left =(1/24)=(1/16) part

Q. A radioactive element has half-life period $1600$ year. After $6400$ year, what part of element will remain?

$\frac{1}{4}$

$\frac{1}{8}$

$\frac{1}{16}$

$\frac{1}{2}$

Number of half lives $= \frac{6400}{1600} = 4$
So, amount of element left $= \frac{1}{2 ^{4}} = \frac{1}{16}$ part

Q. A radioactive element has half-life period 1600 year. After 6400 year, what part of element will remain?

41​

81​

161​

21​