N atoms of a radioactive element emit n alpha | vedclass

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Question

(c) $\frac{{dN}}{{dt}} = - \lambda N $

$\Rightarrow n = - \lambda N$ (Given $\frac{{dN}}{{dt}} = n$)

$	herefore \lambda = - \frac{n}{N}\;\;$

Vedclass · Accepted Answer

$\frac{{0.693\;N}}{n}\,sec$

Vedclass · Answer

(c) $\frac{{dN}}{{dt}} = - \lambda N $

$\Rightarrow n = - \lambda N$ (Given $\frac{{dN}}{{dt}} = n$)

$	herefore \lambda = - \frac{n}{N}\;\;$

$	herefore $ Half life $ = \frac{{0.693}}{\lambda } = \frac{{0.693\;N}}{n}\sec $

$N$ atoms of a radioactive element emit $n$ alpha particles per second. The half life of the element is

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