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A sample of radioactive isotope with a h...

A sample of radioactive isotope with a half life of 20 days weighs `1 g`. After 40 days the weight of the remaining elements is
a. `0.5 g` b. `0.0 g` c. `0.25 g` d. `1//6 g`

A

a. `0.5 g`

B

b. `0.0 g`

C

c. `0.25 g`

D

d. `1//6 g`

Text Solution

Verified by Experts

The correct Answer is:
c. `0.25 g`
`t_(1//2) = 20` days
`T = 40` days
`:.` Number of half life `= (T)/(t_(1//2)) = (40)/(20) = 2`
`:. N = ((1)/(2))^(n) N_(0)) = ((1)/(2))^(2) xx 1 = (1)/(4) = 0.25 g`
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