Home
Class 12
PHYSICS
Two radioactive X(1) and X(2) have decay...

Two radioactive `X_(1)` and `X_(2)` have decay constants `10 lambda ` and `lambda` respectively . If initially they have the same 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 .

A

`(1)/(10 lambda)s`

B

`(1)/(11 lambda)`

C

`(11)/(10 lambda)`

D

`(1)/(9lambda)`

Text Solution

Verified by Experts

The correct Answer is:
d
`N_(1)=N_(0) e^(-10 lambda t)` and `N_(2)=N_(0) e^(-lambda t)`
`:. (N_(1))/(N_(2))=(e^(-10lambda t))/(e^(-lambda t))=(1)/(e^(lambda t))`
Given,
`(N_(1))/(N_(2))=(1)/(e) rArr(1)/e^(( lambda t))=(1)/(e)`
or `9 lambda t=1` or `t=(1/9 lambda)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Two radioactive materials X_(1) and X_(2) have decay constants 5 lambda and lambda respectively. If initially they have the same number of nuclei, then the ratio of the number of muclei of X_(1) to that of X_(2) will be 1/e after a time

Two radioactive X_(1) and X_(2) have docay constants 10 lambda and lambda respecttively . If inittially they have the same number of noclei, then the radio of the number of nuclei of X_(1) to that of X_(2) will be 1//e after a time .

Two radioactive materials X_(1) and X_(2) have decay constants 10 lamda and lamda respectively. If initially they have the same number of nuclei, if the ratio of the number of nuclei of X_(1) to that of X_(2) will be 1//e after a time n/(9lamda) . Find the value of n ?

Two radioactive materials X_1 and X_2 have decay constants 10 lamda and lamda respectively. If initially they have the same 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.

Two redioactive materials X_(1)andX_(2) have decay constants 10lamdaandlamda , respecitvely. If initially they have the same 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

Two radioactive materials X_(1) and X_(2) have decay constants 10 lambda and lambda respectively. If initially they have the same numbers of nucle, then the ratio fo the nclie of X_(1) to that X_(2) will be 1//e after a time:

Two radioactive materials X_(1) and X_(2) have decay constant 11 lambda and lambda respectively. If initially they have same number of nuclei, then ratio of number of nuclei of X_(1) to X_(2) will be (1)/(e^(2)) after a time