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Question: Radioactive element has a half life of one day. After three days the amount of the element left will...

Radioactive element has a half life of one day. After three days the amount of the element left will be :

A

1/2 of the original amount

B

1/4 of the original amount

C

1/8 of the original amount

D

1/16 of the original amount

Answer

1/8 of the original amount

Explanation

Solution

C3=C023=C08C_{3} = \frac{C_{0}}{2^{3}} = \frac{C_{0}}{8}

C3C0=18\frac{C_{3}}{C_{0}} = \frac{1}{8}