JEE Main 2021 (25 Jul, Shift 1) Physics Q5: Nuclei

Question

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as :
(where $\lambda$ is the decay constant)

Accepted Answer

Option 1: $\frac{\ln\frac{3}{2}}{\lambda}$

Answer

$\frac{\ln\frac{3}{2}}{\lambda}$

Answer

$\frac{1}{2}\frac{\ln2}{\lambda}$

Answer

$\frac{2\ln2}{\lambda}$

Answer

$\frac{\ln2}{\lambda}$

JEE Main 25 July 2021, Shift 1, Physics Q5

Same idea in other shifts