Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard
  1. Home
  2. Engineering
  3. Confused! kindly explain, - Atoms And Nuclei - JEE Main-3
# Engineering

Two radioactive substances A and B have decay constants 5\lambda and \lambda respectively . At t=0, sample has the same number of the two nuclei . The time taken for the ratio of the number of nuclei to become \left ( \frac{1}{e} \right )^{2}will be

:

 

 

 

 

 

 

 

  • Option 1)

    \frac{1}{2\lambda }

  • Option 2)

    \frac{1}{4\lambda }

  • Option 3)

    \frac{1}{\lambda }

  • Option 4)

    \frac{2}{\lambda }

Answers (1)
V Vakul

\frac{N_{1}}{N_{2}}=\frac{N_0e^{-5\lambda t} }{N_0e^{-\lambda t}}=\frac{1}{e^{2}}

e^{-4\lambda t}=\frac{1}{e^{2}}

en \left ( e^{-4\lambda t} \right )=en \left ( \frac{1}{e^{2}} \right )

-4\lambda t=-2

t= \frac{1}{2\lambda }


Option 1)

\frac{1}{2\lambda }

Option 2)

\frac{1}{4\lambda }

Option 3)

\frac{1}{\lambda }

Option 4)

\frac{2}{\lambda }

Similar Questions

Latest Asked Questions

Most Viewed Questions

Preparation Products

JEE Main Rank Booster 2022

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Knockout JEE Main 2022 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Knockout JEE Main 2023 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Knockout JEE Main (One Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 2999/- ₹ 1999/-
Buy Now
Knockout JEE Main (Twelve Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 23999/- ₹ 14999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
Start Now
 
Exams
Articles
Questions