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Activity of radioactive element decrease...

Activity of radioactive element decreased to one third of original activity `R_0` in `9` years. After further `9` years, its activity will be

A

`R_(0)`

B

`(2)/(3)R_(0)`

C

`R_(0)//9`

D

`R_(0)//6`

Text Solution

Verified by Experts

The correct Answer is:
C
Since, `R= R_(0) e^(- lamda t)`
`(R_(0))/(3)= R_(0)e^(-9 lamda) rArr e^(-9 lamda) = 1//3`
Now, `R.= R e^(-9 lamda) rArr (R_(0))/(3) xx (1)/(3) (" as " R= (R_(0))/(3))`
`rArr R.= (R_(0))/(9)`
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