A(t) = Aoe-t
At = number of atoms at time t (disintegration rate )
Ao = number of atoms originally present = 60000 atom/g
λ = decay constant = 0.459 x 10^-6 y^-1 for Be
t = time = 1y
At = 60000 x e ^ (- 0.459 x 10^-6 x 1)
At = 60000x 0.99
= 59999 dpy/g
Now
525600(min) in 1 year and 0.001(kg) in 1 gram
So,
At = ( 59999/ 525600(min))X 0.001(kg)
= 1.1415 x 10 ^-4 dpm/kg
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