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

A radioactive material of half-life `T` was kept in a nuclear reactor at two different instants. The quantity kept second time was twice of the kept first time. If now their present activities 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

  • Two electrons are moving with the same speed, v One electron enters at different instants , the quantity 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

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