Home
Class 12
PHYSICS
The half life of .38Sr^(90) is 28 years....

The half life of `._38Sr^(90)` is 28 years. What is disin. rate of 15g of this isotope?

Text Solution

Verified by Experts

Here `T=28 years =28xx3.154xx10^7s`
As number of atoms in 90g of `._38Sr^(90)=6.023xx10^(23)`
`:.` Number of atoms in 15g of `._38Sr^(90)= (6.023xx10^(23))/90xx5/1000`, i.e, `N=1.0038xx10^(20)`
Rate of disint., `(dN)/(dt)=lambdaN=0.693/TN=(0.693xx1.0038xx10^(20))/(28xx3.154xx10^7)=7.877xx10^(10)Bq`
Promotional Banner

Topper's Solved these Questions

  • ATOMS AND NUCLEI

    PRADEEP|Exercise (II) very short answer 16|1 Videos
  • ATOMS AND NUCLEI

    PRADEEP|Exercise (I) Short Answer questions 1|1 Videos
  • COMMUNICATION SYSTEMS

    PRADEEP|Exercise MODEL TEST PAPER-2|9 Videos

Similar Questions

Explore conceptually related problems

The half life of ._38^90Sr is 28 years. The disintegration rate of 15 mg of this isotope is of the order of

The half line is ._(38)^(90)Sr is 20 year. If the sample of this nuclide has an activity of 8,000 disintergrations min^(-1) today, what will be its activity after 80 year.

A bottle of red wine is thought to have been sealed about 5 years ago. The wine containa a number of different kinds of atoms, incluing carbon, oxygen,and hydrogen. Each of these has a radioactive isotope. The radiaoctive isotope of carbon is the familiar ._6^(14)C with a half-life of 5730 years . The radioactive isotope of oxygen is. ._(8)^(15)O and has a half-life of 122.2 s . The radioactive isotope of hydrogen ._1^(3)H and is called tritium, its half-life is 12.33 years . The activity of each of these isotopes is known at the time the bottle was sealed. However, only one of the isotopes is useful for determining the age of the wine accurately. Which is it?

In a sample initially there are equal number of atoms of two radioactive isotopes A and B. 3 days later the number of atoms of A is twice that of B. Half life of B is 1.5 days. What is half life of isotope A? (in days)