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The half life period of `C^(14)` is 5760 years. For a 200 mg of sample of `C^(14)`, the time taken to change to 25 mg isA. 11520 yearsB. 23040 yearsC. 5760 yearsD. 17280 years. |
Answer» Correct Answer - D d) `R_(0)=200mg`, R=25mg, `t_(1//2)=5760` years, Suppose required years =x Suppose no. of half lifes=n `(R/R_(0)) = (1/2)^(n)` or `(25/250) = (1/2)^(n)` `(1/8) = (1/2)^(n)` or `(1/3)^(3) = (1/2)^(n)` n=3 Now, `n=x/(t_(1//2)) = 3 xx 5760 Y` `=17280` years. |
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