Modern Physics> From a radioactive substance 'n' nuclei d...

From a radioactive substance 'n' nuclei decay per second at an instant when total number of nuclei are 'N' .Find half life of radioactive substance.

astha jha , 5 Years ago

Grade 11

1 Answers

Samyak Jain

Last Activity: 5 Years ago

In radioactive decay, rate of decay (– dN/dt) of nuclei at an instant is proportional to the number of nuclei

present (N) at that instant.

– dN/dt = $\lambda$ .N , $\lambda$ is constant of proportionality.

Here rate of decay = n i.e. – dA/dt = n.

n = $\lambda$ .N $\Rightarrow$ $\lambda$ = n/N

As we know that half life of radioactive substance is

t_1/2 = ln2 / $\lambda$ , t_1/2 = ln2 /(n/N)

t_1/2 = N.ln2 / n .

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Modern Physics> From a radioactive substance 'n' nuclei d...

From a radioactive substance 'n' nuclei decay per second at an instant when total number of nuclei are 'N' .Find half life of radioactive substance.

astha jha , 5 Years ago

Samyak Jain

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