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A radioactive nucleus A with a half life...

A radioactive nucleus A with a half life T, decays into a nucleus B. At t = 0, there is no nucleus B. At sometime t, the ratio of the number of B to that of A is 0.3. Then, t is given by :

A

`t = T/(log(1.3))`

B

`t = T/2(log2)/(log1.3)`

C

`t = T (log 1.3)/(log 2)`

D

`t = T log (1.3)`

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The correct Answer is:
C
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