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46. The Nucleus
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Q25 of 94 Page 442

The half-life of 226Ra is 1602 y. Calculate the activity of 0.1g of RaCl2 in which all the radium is in the form of 226Ra. Taken atomic weight of Ra to be 226 g mol–1 and that of Cl to be 35.5 g mol–1.

Molecular weight of RaCl2


So, 297 g of RaCl2 contains 6.023×1023 atoms


0.1 g contains



Now for decay constant(λ)



Activity = λA


where


A= no. of atoms


λ = decay constant




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23

A certain sample of a radioactive material decays at the rate of 500 per second at a certain time. The count rate falls to 200 per second after 50 minutes.

(a) What is the decay constant of the sample?


(b) What is its half-life?


24

The count rate from a radioactive sample falls from 4.0 × 106 per second to 1.0 × 106 per second in 20 hours. What will be the count rate 100 hours after the beginning?

26

The half-life of a radioisotope is 10 h. Find the total number of disintegrations in the tenth hour measured from a time when the activity was 1 Ci.

27

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Questions · 94
46. The Nucleus
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