Home
Class 12
PHYSICS
A freshly prepared sample of a certain r...

A freshly prepared sample of a certain radioactive isotope has an activity of 10mCi. Afte 4.0h its activity is 8.00 mCi.
(a) Find the decay constant and half-life
How many atoms of the isotope were contained in the freshly preapared sample?
(c) What is the sample's activity 30.0 h after it is prepared?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D

(a) `R=R_0e^(-lambdat)`
`R_(0)=20MCl`
`R=8MCl`
`t=4.0h`
Find `lambda`.
(b) `R_(0)=lambdaN_(0)` . Find `N_(0)=(R_(0))/(lambda)`
(c) Find `R=R_(0e^(-lambdat))`
Promotional Banner

Topper's Solved these Questions

  • MODERN PHYSICS - 2

    DC PANDEY ENGLISH|Exercise Exercise 34.2|9 Videos
  • MODERN PHYSICS - 2

    DC PANDEY ENGLISH|Exercise Assertion And Reason|11 Videos
  • MODERN PHYSICS - 2

    DC PANDEY ENGLISH|Exercise Miscellaneous Examples|9 Videos
  • MODERN PHYSICS - 1

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|23 Videos
  • NUCLEI

    DC PANDEY ENGLISH|Exercise C MADICAL ENTRANCES GALLERY|46 Videos

Similar Questions

Explore conceptually related problems

The half-life of a certain radioactive isotope is 32 h .What fraction of a sample would ramain after 16h ?

Half-life period of a radioactive substance is 6 h . After 24 h activity is 0.01 muC , what was the initial activity ?

A radioactive sample has initial activity of 28 dpm 30 minutes later its activity 14 dpm . How many atoms of nuclide were present initially?

A radioactive isotope X has a half life of 3 seconds. At t=0, a given sample of this isotope contains 8000 atom. Calculate (i) its decay constant (ii) average life (iii) the time t_1 , when 1000 atoms of the isotope X remain in the sample (iv) number of decay/sec in the sample at t=t_1sec.

A freshly prepared smaple contains 16xx10^(20) raadioactive nuclei, whose mean life is 10^(10) seconds The acitiivity of the sample just after 4 ahlr lives time is

A freshly prepared sample of a radioisotope of half - life 1386 s has activity 10^(3) disintegrations per second Given that ln 2 = 0.693 the fraction of the initial number of nuclei (expressed in nearest integer percentage ) that will decay in the first 80 s after preparation of the sample is

A freshly prepared sample of a radioisotope of half - life 1386 s has activity 10^(3) disintegrations per second Given that ln 2 = 0.693 the fraction of the initial number of nuclei (expressed in nearest integer percentage ) that will decay in the first 80 s after preparation of the sample is

Four thousand active nuclei of a radioactive material are present at t= 0. After 60 minutes 500 active nuclei are left in the sample. The decay constant of the sample is

A sample of a radioactive substance has 10^(6) radioactive nuclei. Its half life time is 20 s How many nuclei will remain after 10 s ?

In a sample of radioactive material, what fraction of initial number of active nuclei will remain undistintegrated after half of a half0life of the sample?