Two radioactive elements A and B initial...

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 `lambda`_A` and `lambda`_B` are decay constants of A and B respectively,then choose the correct relation from the given options:

`lambda`_Aln2=`lambda_B`

`lambda`_A=2`lambda_B`

`lambda`_A=`lambda_B`

`lambda`_A=`lambda_B`ln_2

Text Solution

AI Generated Solution

Topper's Solved these Questions

JEE MAIN 2022
JEE MAINS PREVIOUS YEAR|Exercise Question|492 Videos
JEE MAIN 2024
JEE MAINS PREVIOUS YEAR|Exercise Questions|22 Videos

Similar Questions

Explore conceptually related problems

Half life of A is same as that of mean life of B

Calculate the ratio of half-life to the mean life of a radioactive sample . If lambda be the decay constant of a radioactive sample.

Two sources A and B have same power . The wavelength of radiation of A is lambda_a and that of B is lambda_b .The number of photons emitted per second by A and B are n_a and n_b respectively, then

The half life of 1 gm of a radioactive element of atomic weight M is T. The half life of M gm of the same element will be

Sample of two radioactive nuclides A and B are taken. lambda_(A) and lambda_(B) are the disintergration constants of A and B respectively. In which of the following cases, the two sample can simultaneously have the same decay rate at any time ?

The half-life of a radioactive sample A is same as the mean life of sample B. The number of atoms present initially in both the samples is same.

The decay constant of a radioactive sample is lambda . The half-life and the average-life of the sample are respectively

The half-life period of a radioactive element x is same as the mean life time of another radioactive element y. Initially, both of them have the same number of atoms. Then, (a) x and y have the same decay rate initially (b) x and y decay at the same rate always (c) y will decay at a faster rate than x (d) x will decay at a faster rate than y

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question

A coin placed on a rotating table just slips when it is placed at a di...
Text Solution
|
Two identical heater filaments are connected first in parallel and the...
Text Solution
|
Two radioactive elements A and B initially have same number of atoms.T...
Text Solution
|
The electric field in an electromagnetic wave is given as vecE = 20 si...
Text Solution
|
The magnetic field B crossing normally a square metallic plate of area...
Text Solution
|
The length of a wire becomes l1 and l2 when 100 N and 120 N tensions a...
Text Solution
|
The radius of curvature of each surface of a convex lens having refrac...
Text Solution
|
A solid sphere of mass 500 g and radius 5 cm is rotated about one of i...
Text Solution
|
As shown in the figure,a configuration of two equal point charges (q0=...
Text Solution
|
In the circuit diagram shown in figure given belowthe current flowing ...
Text Solution
|
A force vecF=(2+3x), acts on a particle in the x direction where F is ...
Text Solution
|
The equation of wave is given by Y = 10^(-2) sin 2pi (160t -0.5x+pi/4)...
Text Solution
|
A monochromatic light is incident on a hydrogen sample in ground state...
Text Solution
|
A projectile fired at 30^@ to the ground is observed to be at same hei...
Text Solution
|
The amplitube of 15 sin (1000 pit) is modulated by 10 sin(4pit) signal...
Text Solution
|
A proton and an alpha- particle are accelerated from rest by 2 V and 2...
Text Solution
|
A particle is executing simple harmonic moton (SHM). The ratio of pote...
Text Solution
|
Three forces F(1)=10 N, F(2)=8 N, F(3)=6N areacting on a particle of m...
Text Solution
|
Given below are two statements: one is labelled as Assertion A and the...
Text Solution
|
A12.5 e V electron beam is used to bombard gaseous hydrogen at room te...
Text Solution
|