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Radioactivity

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Question
ICSEENIPH12029790
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Half life of a certain radioactive substance is 6 hours. If you had 3.2 kg of this substance in the beginning, how much of it will disintegrate in one day?

Solution

Using the formula of radioactive decay, 

straight N space equals space straight N subscript straight o open parentheses space 1 half close parentheses to the power of straight n space straight n space equals space 24 over 6 space equals space 4 space hours straight N space equals space 3.2 space open parentheses 1 half close parentheses to the power of 4 space space space space equals space fraction numerator 3.2 space over denominator 16 end fraction space space space space equals space 0.2 space kg

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Question
ICSEENIPH12029791
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(i) What is the significance of binding energy per nucleon of nucleus?

(ii) In a certain star, three alpha particles undergo fusion in a single reaction to form C presubscript 6 presuperscript 12 nucleus. Calculate the energy released in the reaction in MeV.

Given colon space straight m space left parenthesis space He presubscript 2 presuperscript 4 right parenthesis space equals space 4.002604 space straight u space and space straight m space left parenthesis straight C presubscript 6 presuperscript 12 right parenthesis space equals space 12.000000 space straight u

Solution

(i) Binding Energy is the total binding energy of nucleus divided by number of nucleons inside it.

Higher the average binding energy per nucleon, greater is the stability of nucleus.
He presubscript 2 presuperscript 4 space plus space He presubscript 2 presuperscript 4 space plus space He presubscript 2 presuperscript 4 space rightwards arrow space straight C presubscript 6 presuperscript 12 Mass space of space reactants space equals space 3 space straight x space 4.002604 space space space space space space space space space space space space space space space space space space space space space space space space equals space 12.007812 space straight mu space Mass space of space products space equals space 12.000000 space straight mu increment straight m space equals space increment mc squared space 14 space equals space 931 space MeV straight E space equals space 0.007812 space straight x space 931 space space space space equals space 7.27972 space straight M space eV

Question
ICSEENIPH12029812
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What is the essential difference between the working of a nuclear reactor and that of a fission bomb?

Solution

In a nuclear reactor energy released is controlled that is by the use of neutron absorbing material such as Cadmium, where as in a fission bomb their is no control in the amount of energy released. 

Question
ICSEENIPH12029836
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Complete the following table for a radioactive element whose half life is 5 minutes. Assume that you have 32 g of this element at start, i.e. at t = 0.
Now, using this data, plot the “decay curve”.

Solution

b)
 

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