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The half-line period of a radioactive el...

The half-line period of a radioactive element A is same as the mean life time of another radioactive element B. Initially both have the same number of atoms. Then

A

A and B have the same decay rate initially

B

A and B decay at the same rate always

C

B will decay at faster rate than A

D

A will decay at faste rate then B

Text Solution

Verified by Experts

The correct Answer is:
C

B will decay at faster rate than A
`(t_(1//2))_(A) = (t_("mean"))_(B)`
`(0.6931)/(lambda_(A)) = (1)/(lambda_(B))`
`lambda_(A) = 0.6931 lambda_(B)`
` lambda_(A) lt lambda_(B)`
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