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State the Law of Radioactive Decay. Hence Derive The Expression N = Noe^-λT Where Symbols Have Their Usual Meanings. - Physics

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प्रश्न

State the law of radioactive decay.

दीर्घउत्तर
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उत्तर

Law of radioactive decay:
The number of nuclei undergoing the decay per unit time is proportional to the number of unchanged nuclei present at that instant. 

If ‘N’ is the number of nuclei present at any instant ‘t’, ‘dN’ is the number of nuclei that disintegrated in short interval of time ‘dt’, then according to decay law,

`- (dN)/dt ∝ N`

`:.(dN)/dt = -lambda N`

where, `lambda` is known as decay constant or disintegration constant. The negative sign indicates disintegration of atoms.

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2012-2013 (March)

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