1.

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 is

Answer»

11520 YEARS
23040 years
5760 years
17280 years.

Solution :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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