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2 Question 2[30pts] In this problem we will look at the decay of 210Po emitting an a with an energy of Ea = 5.30433 MeV. Remember, the a particle is the ? He2 nucleus. V (r) = Vcoulomb (r) - - - Ed r =d r=l Figure 2: Caption2.1 a[5pts] We can approximate the width of the potential well (1 by assuming that the a and the daughter nucleus of Z : 82, A : 206 are touching at their surfaces. Calculate d. 2.2 b[5pts] Calculate the height B [in MeV] of the Coulomb barrier at r : d. (note: the nuclear potential VWCU" : d) 2 0) 2.3 c[5pts] Calculate the radius l, which is the point at which the Coulomb potential V = Ea. 2.4 d[5pts] Calculate the frequency the 0: impinges on the barrier 20 25 2.5 e[10pts] The transmission probability T is the probability for the or to tunnel through the barrier. It is given by T : 62G Where G is the Gamow factor G : '/ EEEQB =|