Start Free Mock LoginAlready registered? Login here

Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityMedium2 minQB

PhysicsMediumsingle choice

Two radioactive material $X_{1}$ and $X_{2}$ have decay constants $10 λ$ and $λ$ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei, then the ratio of the number of nuclei of $X_{1}$ to that of $X_{2}$ will be 1/e after a time :

Options:

Answer:

Solution:

$\frac{N _{1}}{N _{2}} = \frac{N _{0} e ^{- 10 λ t}}{N _{0} e ^{- λ t}} = e^{- 9 λ t}$

$e^{- 9 λ t} = \frac{1}{e} \Rightarrow t = \frac{1}{9 λ}$

Hence option (D).

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...