Question

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

A. `5319`
B. `5422`
C. `5707`
D. `5818`

Answer 1

Correct Answer - 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`.