define the average life of radioactive sample and obtain its relation to decay constant and half life
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The time required for half of the original population of radioactive atoms to decay is called the half-life. The relationship between the half-life, T1/2, and the decay constant is given by T1/2 = 0.693/λ.
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When t=T12 , then half the initial atoms have decayed, which means that N=N02 . which is mathematically how the rate of radioactive decay is related to half life. From this equation, we can see that if decay rate ( λ ) increases, T12 will get shorter, and if decay slows down, half life will increase.
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