In the nuclear fusion reaction,

_{1}^{2}H+_{1}^{3}H\rightarrow _{2}^{4}He+n given that the repulsive potential energy between the two nuclei is \sim 7.7\times 10^{-14}J     the temperature at which the gases must be heated to initiate the reaction is nearly

[ Boltzmann's constant  k=1.38\times 10^{-23}J/K]

  • Option 1)

    10^{7}K

  • Option 2)

    10^{5}K

  • Option 3)

    10^{3}K

  • Option 4)

    10^{9}K

 

Answers (1)

As we learnt in

Nuclear fission -

e.g.    ^{236}_{92}U\rightarrow ^{137}_{53}I+^{97}_{39}Y+2n

Q\: value

= \left [ \left ( M_{U}+M_{n} \right ) -\left ( M_{I}+M_{Y} +2M_{n}\right )\right ].C^{2}

- wherein

In nuclear fission neutron trigger the reaction & in the process more than one neutron is released.

 

 At temperature T, the kinetic energy is \frac{3}{2}KT.

\frac{3}{2}KT=7.7\times 10^{-14}

T=\frac{7.7\times2\times 10^{-14}}{3\times 1.38\times 10^{-23}}=3.7\times 10^{9}K

Correct option is 4.


Option 1)

10^{7}K

This is an incorrect option.

Option 2)

10^{5}K

This is an incorrect option.

Option 3)

10^{3}K

This is an incorrect option.

Option 4)

10^{9}K

This is the correct option.

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