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Nuclear Fusion MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

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A certain mass of Hydrogen is changed to Helium by the process of fusion. The Mass defect in the fusion reaction is 0.02866 u. The energy liberated per u is:

(given 1u = 931 MeV)

Fusion reaction takes place at high temperature because

To generate a power of 3.2\, \, \mathrm{MW}, the number of fissions of  U^{235} per minute is (Energy released per fission =200 \, \mathrm{MeV}, 1 \mathrm{eV}=1.6 \times 10^{-19} \mathrm{~J} )

The energy released in the fusion of 1 kg of deuterium nuclei

An atomic power reactor furnace can deliver 300\, \mathrm{MW}. The energy released due to the fission of each uranium atom \mathrm{U}^{238} is 170\, \mathrm{MeV}. The number of uranium atoms fissioned per hour will be

The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is :

What is the power output of a  reactor if it takes 30 days to use up 2 Kg of fuel and if each fission gives  of usable energy -

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If the nucleus Al_{13}^{27}  has a nuclear radius of about \mathrm{3.6 \mathrm{fm} }, then Te_{32}^{157} would have its radius approximately -

If a star can convert all the He nuclei completely into oxygen nuclei. The energy released per oxygen nuclei is (Mass of the helium nuclei is 4.0026 amu and mass of oxygen nucleus is 15. 9994 amu)

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Concepts Covered - 1

Nuclear fusion

Nuclear fusion-

In nuclear fusion, two (or) more than two lighter nuclei combine/fuse to form a larger nucleus. In this process energy is released.

Some examples of nuclear fusion:

                                                                   

$$
{ }_1^1 \mathrm{H}+{ }_1^1 \mathrm{H} \rightarrow{ }_1^2 \mathrm{H}+\mathrm{e}^{-}+\mathrm{v}+0.42 \mathrm{MeV}
$$


Here two protons combine to form a deuteron and a positron releasing 0.42 MeV of energy.

$$
{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H} \rightarrow{ }_2^3 \mathrm{He}+\mathrm{n}+3.27 \mathrm{MeV}
$$


Here two deuterons combine to form the light isotope of Helium releasing 3.27 MeV of energy.

$$
{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H} \rightarrow{ }_1^3 \mathrm{H}+{ }_1^1 \mathrm{H}+4.03 \mathrm{MeV}
$$
 

                            In this case, two deuterons combine to form a triton and a proton releasing 4.03 MeV of energy.

Here mass of single nucleaus so formed is less than the sum of the mass of the parent nuclei. And this mass difference appears in the form of release of energy. 

Condition required for Nuclear fusion -

The fusion to take, two nulei must come close enough so that attractive short range nuclear force is able to affect them. But since both are positively charged particles, they experience coulombic repulsion. Therefore they muct have enough energy to overcome this repulsion. For this, high pressure of 106 atm & temperature of 109 K is required. 

When the fusion is achieved by raising the temperature of the system, so that particle have enough kinetic energy to overcome the coulombic repulsion, it is called thermo-nuclear fusion.

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