Q. 31

A point source emitting alpha particles is placed at a distance of 1m from a counter which records any alpha particle falling on its 1 cm2 window. If the source contains 6.0 × 1016 active nuclei and the counter records a rate of 50000 counts/second, find the decay constant. Assume that the source emits alpha particles uniformly in all directions and the alpha particles fall nearly normally on the window.

Answer :

Given, Count received at 1m from source = 50000 counts/cm2sec

As it is a point source, total nuclei radiated from the source


= Counts received per unit area × total area



So,



No. of active nuclei


Now,




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