To determine the half life of a radioactive element a student plots a graph of
ln∣∣∣dN(t)dt∣∣∣ versus
t. Here
dN(t)dt is the rate of radio active decay at time
t. If the number of radio active nuclei of this element decreases by a factor of
p after
4.16years, the value
p is:
![1078735_830a598aa4044f83860fd969de5969de.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1078735_830a598aa4044f83860fd969de5969de.png)