1.

The half-life of C^(14 is 5760 years.for a 200 mg sample ofC^(14) , the time taken to change to 25 mg is

Answer»

11520 years
23040 years
5760 years
17280 years.

Solution :`R_(0) = 200 mg , R= 25 mg , R = 25 mg , t_(1//2) = 5720` years
SUPPOSE REQUIRED years are x.
ALSO, suppose no. of half lives = n
`:. (R/(R_0))= (1/2)^n IMPLIES (25/100) = (1/2)^(n)`
`implies (1/8) = (1/2)^(n) implies (1/2)^(3) = (1/2)^(n) implies n = 3`
`:. n = x/(5760) implies 3 = x/(5760) implies x = 5760 xx 3 = 17280` years.


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