In the nuclear fusion reaction ^2_1H + ^3_1H → ^4_2He + n , given that the repulsive potential energy between the two nuclei is 7.7 × 10^-14 J , the temperature at which the gases must be heated to initiate the reaction is nearly: (Boltzmann’s constant k = 1.38 × 10^-23 J/K )

In the nuclear fusion reaction ^2_1H + ^3_1H → ^4_2He + n , given that the repulsive potential energy between the two nuclei is 7.7 × 10^-14 J , the t - Physics MCQ AIEEE 2003 2026 | ExamTest.live

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In the nuclear fusion reaction_{1}^{2} H +_{1}^{3} H \to_{2}^{4} He + n, given that the repulsive potential energy between the two nuclei is 7.7 \times 1 0^{- 14} J, the temperature at which the gases must be heated to initiate the reaction is nearly: (Boltzmann’s constant k = 1.38 \times 1 0^{- 23} J/K)

To initiate fusion, the kinetic energy of the nuclei must be enough to overcome the Coulomb repulsion. Average kinetic energy per particle at temperature T is K . E . = \frac{3}{2} k T . \frac{3}{2} k T \approx 7.7 \times 1 0^{- 14} T = \frac{2 \times 7.7 \times 1 0 ^{- 14}}{3 \times 1.38 \times 1 0 ^{- 23}} = \frac{15.4 \times 1 0 ^{- 14}}{4.14 \times 1 0 ^{- 23}} \approx 3.7 \times 1 0^{9} K The order of magnitude is 1 0^{9} K .

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In the nuclear fusion reaction_{1}^{2} H +_{1}^{3} H \to_{2}^{4} He + n, given that the repulsive potential energy between the two nuclei is 7.7 \times 1 0^{- 14} J, the temperature at which the gases must be heated to initiate the reaction is nearly: (Boltzmann’s constant k = 1.38 \times 1 0^{- 23} J/K)

1 0^{7} K

1 0^{5} K

1 0^{3} K

1 0^{9} K

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