Mathematics 1 Deneme Sınavı Sorusu #1232181

A radioactive material losses 20 % of its weight after 10 years. What is the half-life of this material approximately?


31

25

20

16

14


Yanıt Açıklaması:

Since 20 percent is lost, 80 percent is remaining at the end of 10 years. Thus we can write:

0.8Q=Q.e10k

ln0.8/10=k=-0.0223

So we can find the half life by:

0.5Q=Q.e-0.0223t

ln0.5=-0.0223t, then t=31.06 years

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