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A radioactive element has a half- life of 2 days. Which fraction represents the amount of an original sample of this element remaining after 6 days?

A radioactive element has a half- life of 2 days. Which fraction represents the amount-example-1
User Karime
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1 Answer

4 votes

Answer : The fraction represents the amount of an original sample of this element remaining after 6 days is
(1)/(8) .

Explanation :

Half-life = 2 days

Time = 6 days

Formula used:


N=N_o* ((1)/(2))^{((t)/(t_(1/2)))}

where,

N = final amount


N_o = initial amount

t = time


t_(1/2) = half-life

Now putting all the given values in the above formula, we get:


N=N_o* ((1)/(2))^{((6)/(2))}


(N)/(N_o)=((1)/(2))^{((6)/(2))}


(N)/(N_o)=((1)/(2))^3


(N)/(N_o)=(1)/(8)

Therefore, the fraction represents the amount of an original sample of this element remaining after 6 days is
(1)/(8) .

User Patrick Shafer
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