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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PREVIOUS4 × 1023 tritium atoms are contained in a vessel. The half-life of decay of tritium nuclei is 12.3 y. Find(a) the activity of the sample,(b) the number of decays in the next 10 hours(c) the number of decays in the next 6.15 y.NEXT238U decays to 206Pb with a half-life of 4.47 × 109 y. This happens in a number of steps. Can you justify a single half-life for this chain of processes? A sample of rock is found to contain 2.00 mg of 238U and 0.600 mg of 206Pb. Assuming that all the lead has come from uranium, find the life of the rock.
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