In the nuclear fusion reaction ${ }_1 \mathrm{H}^2+{ }_1 \mathrm{H}^3 \rightarrow{ }_2…

In the nuclear fusion reaction ${ }_1 \mathrm{H}^2+{ }_1 \mathrm{H}^3 \rightarrow{ }_2 \mathrm{He}^4+\mathrm{n}$, if the repulsive potential energy between the two nuclei is $2.07 \times 10^{-14} \mathrm{~J}$, then the temperature at which the gases must be heated to initiate the reaction is $\left(\right.$ Boltzmann constant $\left.=1.38 \times 10^{-23} \mathrm{JK}^{-1}\right)$
  1. $10^9 \mathrm{~K}$
  2. $10^7 \mathrm{~K}$
  3. $10^5 \mathrm{~K}$
  4. $10^{12} \mathrm{~K}$

Solution

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Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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