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The half life of a radioactive isotope i...

The half life of a radioactive isotope is 44 days. In how many days 1.0 g will be reduced to 62.5 mg?

A

275 days

B

704 days

C

352 days

D

176 days

Text Solution

Verified by Experts

The correct Answer is:
D
`N= N_(0) ((1)/(2))^(n)`
`62.5 =1000 ((1)/(2))^(n) rArr (62.5)/(1000) =(1)/(16)=((1)/(2))^(n)`
`rArr n= ((1)/(2))^(4) =((1)/(2))^(n)` So, n =4
Total time `= nxx t_(1//2) = 4xx44 =176` days
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