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Q.

Find the age of an ancient Egyptian wooden article (in years) from the given information.i. Activity of 1 g of carbon obtained from ancient wooden article = 7.7 counts/min/gii. Activity of 1 g carbon obtained from fresh wooden sample = 15.4 counts per min/giii. Percentage increase in level of C14 due to nuclear explosions in past 100 years is 10%iv. t1/2 of 6C14=5770 years

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a

5.770 × 103

b

16.87 × 103

c

2488

d

None of these

answer is A.

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Detailed Solution

Corrected Cl4 content:Let initial C14 count = A0A0+A0/10=15.4.;A0=14t=1Klog⁡147=5.770×103 years; t=ln⁡2K=t1/2t=5770 years =5.770×103
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