Show that the delay rate 'R' of a sample of a radio nuclei is related to the number of radio active nuclei 'N' at the same instant by the expression R=λN
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For a radioactive sample, the rate of disintegeration is given by
R = -dn/dt --- equation 1
According to radioactive decay law
= -dn/dt ∞ N --- equation 2
= -dn/dt = λN
Thus, R = λN
Activity of sample is calculated as-
R = λN = 0.693/ T.12 * N
= 0.693/1.5 *10`17 * 25 * 10`20
= 11550 disintegrations per second
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