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The half-life period of a radioactive el...

The half-life period of a radioactive element is 140 days. After 560 days, `1g` of the element will reduce to
a. `0.5 g` b. `0.25 g` c. `1//8 g` d. `1//16 g`

A

a. `0.5 g`

B

b. `0.25 g`

C

c. `1//8 g`

D

d. `1//16 g`

Text Solution

Verified by Experts

The correct Answer is:
d. `1//16 g`
`T = 560` days, `t_(1//2) = 140` days
`:. N = (T)/(t_(1//2)) = (500)/(140) = 4`
`:. N = ((1)/(2))^(n) N_(0) = ((1)/(2))^(4) xx 1 = (1)/(16) g`
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