JEE Main & Advanced AIEEE Solved Paper-2003

  • question_answer
    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 \[7.7\times {{10}^{-14}}\] J the temperature at which the gases must be heated to initiate the reaction is nearly [Boltzmann's constant \[k=1.38\times {{10}^{-23}}J/K\]]     AIEEE  Solved  Paper-2003

    A)                         \[{{10}^{7}}\] K  

    B)                       \[{{10}^{5}}\] K                                

    C) \[{{10}^{3}}\] K                                

    D) \[{{10}^{9}}\] K

    Correct Answer: D

    Solution :

    As \[\frac{3}{2}kT=7.7\times {{10}^{-14}}J\] \[T=\frac{2\times 7.7\times {{10}^{-14}}}{3\times 1.38\times {{10}^{-23}}}=3.7\times {{10}^{9}}K\]


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