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half life of radium is 1580 years. Its a...

half life of radium is 1580 years. Its average life will be

A

`8.25xx10^(2)` years

B

`1.8xx10^(3)` years

C

`2.5xx10^(3)` years

D

`2.279xx10^(3)` years

Text Solution

Verified by Experts

The correct Answer is:
D
Average life, `tau=(1)/(lambda)=(t_(1//2))/(0.693)`
`=(1580)/(0.693)=2.279 xx 10^(3)` years
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