If {N_0} is original mass of substance of half life period {T_{1/2}} = 5 years, then amount of subst

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13.Nuclei

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If ${N_0}$ is the original mass of the substance of half life period ${T_{1/2}} = 5$ years, then the amount of substance left after $15$ years is

A

${N_0}/8$

B

${N_0}/16$

C

${N_0}/2$

D

${N_0}/4$

(AIEEE-2002)

Solution

(a) $N = {N_0}{\left( {\frac{1}{2}} \right)^{\frac{t}{{{T_{1/2}}}}}} $

.$= {N_0}{\left( {\frac{1}{2}} \right)^{\frac{{15}}{5}}} = \frac{{{N_0}}}{8}$

Standard 12

Physics

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