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A piece of radioactive material contains 1020 a... - JAMB Physics 2009 Question

A piece of radioactive material contains 1020 atoms.
If the half life of the material is 20 seconds, the number of disintegration in the first second is
A
3.47 x 1018
B
6.93 x 10 20
C
3.47 x 1020
D
6.93 x 1018
correct option: a

The number of disintegration,∆N in time interval At, is given by

  • ∆N = N∆t

Where N is the number of atoms present at the time t

But ^ = (0.693)/T

∴ ∆N = (0.693)/1(1)/2 N∆t = (0.693 x 10)20 x 10/20 = 3.47 x 1018

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