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A radioactive substnce havig N nuclei ha...

A radioactive substnce havig N nuclei has activity R.Write down an expressin for its half-life in terms of R and N.

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Radioactive disintegration is a first order reaction and its rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure. The rate of radioactive disintegration (Activity) is represented as -(dN)/(dt)=lambdaN Where lambda= decay constant, N= number of nuclei at time t, N_(0) =intial no. of nuclei. The above equation after integration can be represented as lambda=(2.303)/(t)log((N_(0))/(N)) Calculate the half-life period of a radioactive element which remains only 1//16 of its original amount in 4740 years: a) 1185 years b) 2370 years c) 52.5 years d) none of these

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Radioactive disintegration is a first order reaction and its rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure. The rate of radioactive disintegration (Activity) is represented as -(dN)/(dt)=lambdaN Where lambda= decay constant, N= number of nuclei at time t, N_(0) =initial no. of nuclei. The above equation after integration can be represented as lambda=(2.303)/(t)log((N_(0))/(N)) Half-life period of U is 2.5xx10^(5) years. In how much time will the amount of U^(237) remaining be only 25% of the original amount ? a) 2.5xx10^(5) year b) 1.25xx10^(5) years c) 5xx10^(5) years d) none of these

MODERN PUBLICATION-Radioactivity-EXERCISE
  1. A radioactive substnce havig N nuclei has activity R.Write down an exp...

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  2. What is meant by radioactive substance?

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  3. What is radioactivity ? State laws of radioactive decay and deduce an ...

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  4. State the law of radioactive decay. Show that radioactive decay is exp...

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  5. State the law of radioactive decay, If N0 is the number of radioactive...

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  6. Show that decay rate R of a sample of a radio-nuclide is related to th...

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  7. State the law of radioactive decay and hence derive the relation N=N0e...

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  8. State the law of radioactive decay and hence derive the relation N=N0e...

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  9. Sketch a graph to illustrate radioactive decay.

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  10. What is meant by half life of a radioactive substance? Derive expressi...

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  11. What is radioactivity ? State laws of radioactive decay and deduce an ...

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  12. An isotope (92)U^(238) decays successively to form (90)Th^(234),(91)P...

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  13. Define decay constant of a radioactive sample. Which of the following ...

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  14. Define decay constant of a radioactive sample. Which of the following ...

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  15. Define decay constant of a radioactive sample. Which of the following ...

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  16. Define decay constant of a radioactive sample. Which of the following ...

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  17. The rate constant and half life of a first order reaction are related...

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  18. State the law of radioactive decay. Show that radioactive decay is exp...

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  19. State the law of radioactive decay. Show that radioactive decay is exp...

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  20. Define half life of a radioactive substance.

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  21. What is radioactivity ? State laws of radioactive decay and deduce an ...

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