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Question: The activity of a radioactive element decreased to one-third of the original activity I<sub>0</sub> ...

The activity of a radioactive element decreased to one-third of the original activity I0 in a period of nine years. After a further lapse of nine years its activity will be-

A

I0

B

(2/3) I0

C

I0/9

D

I0/6

Answer

I0/9

Explanation

Solution

= ̃ 13\frac { 1 } { 3 } =

= (12)18/T\left( \frac { 1 } { 2 } \right) ^ { 18 / \mathrm { T } } = ̃ I' = I09\frac { \mathrm { I } _ { 0 } } { 9 }