nuclei Question 13

Question: Q. 1. (i) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number A.

(ii) A radioactive isotope has a half life of 10 years. How long will it take for the activity to reduce to 3.125 ?

U] A [CBSE SQP 2018]

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Solution:

Ans. (i)

1/2

From the above graph, it’s clear that binding energy per nucleon is low for very light and for very heavy nuclei. If a nucleus of lower binding energy is converted into higher binding energy nucleuśs then energy is released. There are two methods of converting lower binding energy into higher binding energy.

Fission : A heavy nucleus (low BEN is broken into two lower nuclei (higher BEN) and energy is released. This process is known as Fission.

Fusion : Two light nuclei (bom BEN) are joined and formed one nucleus of higher BEN, energy is released. This process is known as Fusion.

(ii)

NN0=3.125100 =(1/2)5

Comparing this with the following standard equation

We may write NN0=(12)n where, n=tT1/2

(12)5=(12)n; hence n=51/2

Half life of the radioisotope is given 10 years.

Putting the value of n and T1/2 in [n=tT1/2]

5=t10 t=50 years 

(Please note that part (ii) is from second topic of the chapter. Kindly refer ‘revision notes’ of second topic for more clarity. )



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