Modern Physics 5 Question 19

21. Assume that two deuteron nuclei in the core of fusion reactor at temperature T are moving towards each other, each with kinetic energy 1.5kT, when the separation between them is large enough to neglect Coulomb potential energy. Also neglect any interaction from other particles in the core. The minimum temperature T required for them to reach a separation of 4×1015m is in the range

(2009)

(a) 1.0×109K<T<2.0×109K

(b) 2.0×109K<T<3.0×109K

(c) 3.0×109K<T<4.0×109K

(d) 4.0×109K<T<5.0×109K

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Answer:

Correct Answer: 21. (b, c)

Solution:

  1. From conservation of mechanical energy, we have

Ui+Ki=Uf+Uf0+2(1.5kT)=14πε0(e)(e)d+0

Substituting the values, we get

T=1.4×109K



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