Solveeit Logo

Question

Question: If \(N_{0}\) is the original mass of the substance of half life period \(T_{1/2} = 5\) years, then t...

If N0N_{0} is the original mass of the substance of half life period T1/2=5T_{1/2} = 5 years, then the amount of substance left after 15 years is.

A

N0/8N_{0}/8

B

N0/16N_{0} ⥂ / ⥂ 16

C

N0/2N_{0} ⥂ / ⥂ 2

D

N0/4N_{0} ⥂ / ⥂ 4

Answer

N0/8N_{0}/8

Explanation

Solution

N=N0(12)tT1/2=N0(12)155=N08N = N_{0}\left( \frac{1}{2} \right)^{\frac{t}{T_{1/2}}} = N_{0}\left( \frac{1}{2} \right)^{\frac{15}{5}} = \frac{N_{0}}{8}.