Question

# The relation between half life (T) and decay constant (λ) is

A
λT=1
B
λT=12
C
λT=loge2
D
λ=log2T
Solution
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#### The correct option is CλT=loge2As per radiaoactive decay law, the radioactive decays per unit time are directly proportional to the total number of nuclei of radioactive compounds in the sample. f the number of nuclei in a sample is N and the number of radioactive decays per unit time dt is dN then,dNdt=−λNIntegrating both limits∫NN0dNN=–λ t∫t0dtTaking initial time t0=0 we have

2
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