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The radioactivity of a sample is R(1) at...

The radioactivity of a sample is `R_(1)` at a time `T_(1)` and `R_(2)` at time `T_(2)`. If the half-life of the specimen is T, the number of atoms that have disintegrated in the time `(T_(2) -T_(1))` is proporational to

A

`(R""_(1)T""_(1)-R""_(2)T""_(2))`

B

`(R""_(1)-R""_(2))`

C

`((R""_(1)-R""_(2)))/T`

D

`((R""_(1)-R""_(2))T)/0.693`

Text Solution

Verified by Experts

The correct Answer is:
d
`R""_(1)=lamdaN""_(1),R""_(2)=lamdaN""_(2),` no. of atoms decays in time
`(T""_(2)-T""_(1))=N""_(1)-N""_(2)=(R""_(1)-R""_(2))/(lamda)=((R""_(1)-R""_(2)))/0.693T`
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