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Two radiactive material A(1) and A(2) ha...

Two radiactive material `A_(1)` and `A_(2)` have decay constants of `10 lambda_(0)` and `lambda_(0)`. If initially they have same number of nyclei, the ratio of number of their undecayed nuclei will be `(1/e)` after a time

A

(a)`1/(lambda_(0))`

B

(b)`1/(9lambda_(0))`

C

(c)`(1)/(10lambda_(0))`

D

(d)`1`

Text Solution

Verified by Experts

The correct Answer is:
B
`N=N_(0)e^(-lambda_(0)t), N'=N_(0)e^(-10lambda_(0)t)implies 1/e =e^(-9lambda_(0)t)`
`implies t= 1/(9lambda_(0))`
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