Home
Class 12
PHYSICS
The ratio of half-life times of two elem...

The ratio of half-life times of two elements `A` and `B` is `(T_(A))/(T_(B))`. The ratio of respective decay constant `(lambda_(A))/(lambda_(B))`,is

A

`T_(B)//T_(A)`

B

`T_(A)//T_(B)`

C

`(T_(A)- T_(B))/(T_(A))`

D

`(T_(A)- T_(B))/(T_(A))`

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(1//2)= (ln 2)/(lamda)`
`therefore (T_(A))/(T_(B)) = (lamda_(B))/(lamda_(A)) rArr (lamda_(A))/(lamda_(B))= (T_(B))/(T_(A))`
Promotional Banner

Similar Questions

Explore conceptually related problems

The relationship between distintegration constant (lambda) and half-life (T) will be

Photons of energies 4.25eV and 4.7eV are incident on two metal surfaces A and B respectively.The maximum KE of emitted electrons are respectively T_(A)eV and T_(B)=(T_(A)-1.5)eV .The ratio de-Broglie wavelengths of photoelectrons from them is lambda_(A):lambda_(B)=1.2 ,then find the work function of A and B

Two spherical starts A and B emit black body radiation. The radius of A is 400 times that of B and A emits 10^(4) times the power emitted from B. The ratio (lambda_(A)//lambda_(B)) of their wavelengths lambda_(A) and lambda_(B) at which the peaks oc cur in their respective radiation curves is :

At t= 0 ,a sample of radionuclide A has the same decay rate as a sample of radionuclide B has at t = 60 min. The disintegration constants of A and B are lambda_(A) and lambda_(B) respectively, with lambda_(A) lt lambda_(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.

The ratio of the atoms of two elements A and B at radioactive equilibrium is 5.0 xx 10^(5) : 1 respectively. Calculate half life of B if half life of A is 245 days.

At t=0, a sample of radionuclide A has the same decay rate as a sample of radionuclide B has at t=30min. The disintegration constants are lambda_(A) and lambda_(B) , with lambda_(A)ltlambda_(B) . Will the two samples ever have (simultaneously) the same decay rate?

Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 10^4 times the power emitted from B. The ratio ((lambda_A)/(lambda_B)) of their wavelengths lambda_A and lambda_B at which the peaks occur in their respective radiation curves is