Home
Class 12
PHYSICS
Two radioactive substances X and Y initi...

Two radioactive substances X and Y initially contain equal number of nuclei. X has a half life of 1 hour and Y has a half life of 2 hours. After two hours the ratio of the activity of X to the activity of Y is

A

`1:4`

B

`1:2`

C

`1:1`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
C
`(N_(1))/(N_(2))=(N_(0)(1/2)^(2/1))/(N_(0)(1/2)^(2/2))=1/2`
`(A_(1))/(A_(2))=(lamda_(1)N_(1))/(lamda_(2)N_(2))=(T_(2)N_(1))/(T_(1)N_(2))[ :. lamda=63/T]`
`(A_(1))/(A_(2))=2/1xx1/2=1/1`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 38

    NTA MOCK TESTS|Exercise Physics|30 Videos

  • NTA TPC JEE MAIN TEST 41

    NTA MOCK TESTS|Exercise PHYSICS|30 Videos

Similar Questions

Explore conceptually related problems

Two radioactive substance X and Y initially contain an equal number of atoms. Their half lives are 1 hour and 2 hours respectiely. Then the ratio of their rates of disintegration after two hours is

Two radioactive substances X and Y initially contain an equal number of atoms. Their half-lives are 1 hour and 2 hours respectively. Then the ratio of their rates of disintergration after two hours is

Knowledge Check

  • Two radioactive substances X and Y initially contain equal number of nuclei X has a half life of 1 hour and Y has half life of 2 hours .After two hours the ratio of the activity of X to the activity of Y will be :

    A
    `1:4`
    B
    `1:2`
    C
    `1:1`
    D
    `2:1`

  • Two radioactive substance X and Y initially contain equal number of nuclei. X has a half life of 1 hour and X has a half-life of 2 hours. After the ratio of activity of X to that of y is

    A
    `1:4`
    B
    `1:2`
    C
    `1:1`
    D
    `2:1`

  • Equal number of radioactive atoms of two radioactive sources A and B are taken. Source A has a half life of 1 hour and source B has a half life of 2 hours. At the end of 2 hours, the ratio of the rate of disintegration of A to that of B is

    A
    `1:2`
    B
    `2:1`
    C
    `1:1`
    D
    `1:4`

    • Similar Questions

    Explore conceptually related problems

    Two radioactive substances have half-lives T and 2T. Initially, they have equal number of nuclei. After time t=4T , the ratio of their number of nuclei is x and the ratio of their activity is y. Then,

    A radioactive substance has a half life of 60 minutes. After 3 hours, the fraction of atom that have decayed would be.

    Samples of two radioactive nuclides, X and Y , each have equal activity A at time t=0 . X has a half-life of 24 years and Y a half-life of 16 years . The samples are mixed together. What will be the total activity of the mixture at t=48 years?

    If half-life of a radioactive element is 3 hours. After 9 hours its activity becomes

    A 300 gram radioactive sample has a half life 3 hours. After 18 hours remaining quantity

    Home
    Profile