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A radioactive material of half-life T wa...

A radioactive material of half-life T was produced in nuclear reactor at dirrent instants, the quantitiy produced second. Time was twic of that produced first time,If now their present acitivies are `A_(1)` and `A_(2)` respectively then their age difference equals

A

`T_(ln2)|ln'(A_(1))/(A_(2))|`

B

`T|ln'(A_(1))/(A_(2))|`

C

`T_(A)/(ln2)|ln'(A_(2))/(2A_(1))|`

D

`T|ln'(A_(2))/(2A_(1))|`

Text Solution

Verified by Experts

The correct Answer is:
C
`A_(1)=lambda^(-lambda(t_(1)-t_(2))) implies "ln" (2A_(1))/A_(2)=-lambda Deltatimplies Deltat= (T"ln" A_(2)/(2A_(1)))/(ln2)`
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Knowledge Check

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