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The half life of radius is 1620 years. T...

The half life of radius is 1620 years. The fraction decayed out of the original sample is 3/4. How many years required for it?

A

3224 years

B

2234 years

C

3422 year

D

3242 years

Text Solution

Verified by Experts

The correct Answer is:
D
`lambda=0.693/T`
Now `t=2.303/lambda "log" N_(0)/N=(2.303 T)/0.693 "log" N_(0)/N`
`=(2.303xx1620)/0.693"log"4/1`
`=(2.303xx1620xx0.6020)/0.693`
`=3242` years
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