Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If and are decay constants of A and B respectively, then choose the correct relation from the given options.

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If $λ_{A}$ and $λ_{B}$ are decay constants of A and B respectively, then choose the correct relation from the given options. [2023]

1 $λ_{A} = λ_{B}$

2 $λ_{A} = 2 λ_{B}$

3 $λ_{A} = λ_{B} \ln 2$

4 $λ_{A} \ln 2 = λ_{B}$

Ans.
(3)

$T_{1 / 2} (A) = T_{a v} (B)$

$\frac{l n 2}{λ_{A}} = \frac{1}{λ_{B}} \Rightarrow λ_{A} = λ_{B} \ln 2$

Want Us to Email you About Special Offers & Updates?