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Question

Question: \(C^{14}\) has half life 5700 years. At the end of 11400 years, the actual amount left is....

C14C^{14} has half life 5700 years. At the end of 11400 years, the actual amount left is.

A

0.5 of original amount

B

0.25 of original amount

C

0.125 of original amount

D

0.0625 of original amount

Answer

0.25 of original amount

Explanation

Solution

N=N0×(12)11400/5700=N0(12)2N = N_{0} \times \left( \frac{1}{2} \right)^{11400/5700} = N_{0}\left( \frac{1}{2} \right)^{2} =0.25N0= 0.25N_{0}.