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The half life of radioactive substance i...

The half life of radioactive substance is T. Then the fraction of the substance that has decayed in time t is-

A

(t/T)

B

`2^(t//T)`

C

`(1//2)^(t//T)`

D

`1-(1//2)^(t//T)`

Text Solution

Verified by Experts

The correct Answer is:
D
`N=(No)/(2^(n))`
`(No-N)/(No)=1-N/(No)`
`=1-1/(2^(n))(nT=t)`
`=1-(1//2)^(t//T)`
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