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To determine the half life of a radioact...

To determine the half life of a radioactive element , a student plot a graph of in `|(dN(t))/(dt)|` versus `t` , Here `|(dN(t))/(dt)|` is the rate of radioactive decay at time t , if the number of radioactive nuclei of this element decreases by a factor of p after `4.16 ` year the value of p is

Text Solution

Verified by Experts

The correct Answer is:
8
`N =N_0 e^(-lambda t)`
`ln|dN|dt|=1n(N_0 lambda)-lambda t`
From graph
`lambda =(1)/(2)` per year
`(t_(1))/(2)=(0.693)/(1//2)=1.386` year
`4.16` years `=3t_(1//2)`
`p=8`.
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