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Half life of a radio-active substance is...

Half life of a radio-active substance is 2 yr. The amount of substance lift after 6 yr is

A

`(1)/(16)`

B

`(1)/(8)`

C

`(1)/(4)`

D

`(1)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B

We have
Hall life T= 2уr
Total life t = 6 yr
`:. N= ((t)/(T))= (6)/(2)= 3`
Number of half life n = 3
From `N= N_(0)((1)/(2))^(n)`
`(N)/(N_(0))= ((1)/(2))^(3)= ((1)/(8))`
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