Solveeit Logo

Question

Question: A radio-isotope has a half- life of 5 years. The fraction of the atoms of this material that would d...

A radio-isotope has a half- life of 5 years. The fraction of the atoms of this material that would decay in 15 years will be.

A

1/8

B

2/3

C

7/8

D

5/8

Answer

7/8

Explanation

Solution

NN0=(12)15/5=18\frac{N}{N_{0}} = \left( \frac{1}{2} \right)^{15/5} = \frac{1}{8} ⇒ Decayed fraction =118=78= 1 - \frac{1}{8} = \frac{7}{8}