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The half-life of At^215 is 100 mus.The t...

The half-life of `At^215` is 100 `mus`.The time taken for the radioactivity of a sample of the element to decay `1/16`th of its initial value is

A

`400 mus `

B

`6.3 mus`

C

`40 mus`

D

`300 mus`

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The correct Answer is:
A
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The initial number of radioactive atoms in a radioactive sample is N_0 . If after time t the number of becomes N, then N=N_0e^(-lambdat) , where lambda is known as the decay constant of the element. The time in which the number of radioactive atoms becomes half of its initial number is called the half-life (T) of the element. The time in which the number of atoms falls to 1/e times of its initial number is the mean life (tau) of the element. The product lambdaN is the activity (A) of the radioactive sample when the number of atoms is N. The SI unit of activity is bequerel (Bq)' where 1 Bq = 1 decay. s^(-1) . The half-life of Iodine-131 is 8 d. Its mean life (in SI) is - (A) 4.79xx10^5 s. (B) 6.912xx10^5 s. (C) 9.974 xx 10^5 s. (D) 22.96xx10^5 s.

CHHAYA PUBLICATION-ATOMIC NUCLEUS-EXERCISE
  1. In a freshly prepared radioactive sample the rate of radiation is 64 t...

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  2. The mean life of a radioactive element is 13 days. Initially a sample ...

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  3. The half-life of At^215 is 100 mus.The time taken for the radioactivit...

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  4. The half-life of a radioactive substance is 20 min. The approximate t...

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  5. The half-life of a radioactive isotope X is 50 years . It decays to an...

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  6. A nucleus .n^mX emits one alpha particle and two beta^- particles .The...

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  7. Two radioactive nuclei P and Q in a given sample decay into a stable n...

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  8. Of the following equations which one is the probable nuclear fusion re...

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  9. In the nuclear reaction .7^14N + X to .6^14C + .1^1H the X will be

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  10. Fast moving neutrons are retarded

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  11. In nuclear fusion,

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  12. 4.1H^1 to .2He^4 + 2e^(+)+ 26 MeV : this is an equation of

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  13. The power obtained in a reactor using U^235 disintegration is 1000 kW....

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  14. What is the relation between unified atomic mass unit (u) and electron...

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  15. The mass of a proton or a neutron is nearly 1.67xx10^(-24) g . What i...

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  16. What is the order of magnitude of the density of nuclear matter ?

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  17. What is the difference in the structures of Cl^35 and Cl^37 nuclei?

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  18. What is the relation between the atomic number (Z) and the mass number...

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  19. What is the difference in the properties of the two carbon isotopes C^...

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