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Q4. a) Alpha decay is a two body final state process, in which a nucleus 4 AXz →(A−4) Y(z−2) +¹ He₂ + Qa If the masses of the atoms of the parent and the daughter nuclei are (roughly) Au, and (A — 4)u and that of the a particle is 4u, determine the relation between the kinetic energy To of the a particle and Qa. b) Explain why in case of even A nuclei, it is possible to have two most stable isobars, where as for odd A nuclei, there can be only one most stable isobar. c) Construct the mass parabolas for A = 101, and identify the most stable isobars. d) Construct the mass parabolas for A = 106, and identify the two most stable isobars.

Q4. a) Alpha decay is a two body final state process, in which a nucleus 4 AXz →(A−4) Y(z−2) +¹ He₂ + Qa If the masses of the atoms of the parent and the daughter nuclei are (roughly) Au, and (A — 4)u and that of the a particle is 4u, determine the relation between the kinetic energy To of the a particle and Qa. b) Explain why in case of even A nuclei, it is possible to have two most stable isobars, where as for odd A nuclei, there can be only one most stable isobar. c) Construct the mass parabolas for A = 101, and identify the most stable isobars. d) Construct the mass parabolas for A = 106, and identify the two most stable isobars.

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Q4. a) Alpha decay is a two body final state process, in which a nucleus 4 AXz →(A−4) Y(z−2) +¹ He₂ + Qa If the masses of the atoms of the parent and the daughter nuclei are (roughly) Au, and (A — 4)u and that of the a particle is 4u, determine the relation between the kinetic energy To of the a particle and Qa. b) Explain why in case of even A nuclei, it is possible to have two most stable isobars, where as for odd A nuclei, there can be only one most stable isobar. c) Construct the mass parabolas for A = 101, and identify the most stable isobars. d) Construct the mass parabolas for A = 106, and identify the two most stable isobars.
Transcribed Image Text:Q4. a) Alpha decay is a two body final state process, in which a nucleus 4 AXz →(A−4) Y(z−2) +¹ He₂ + Qa If the masses of the atoms of the parent and the daughter nuclei are (roughly) Au, and (A — 4)u and that of the a particle is 4u, determine the relation between the kinetic energy To of the a particle and Qa. b) Explain why in case of even A nuclei, it is possible to have two most stable isobars, where as for odd A nuclei, there can be only one most stable isobar. c) Construct the mass parabolas for A = 101, and identify the most stable isobars. d) Construct the mass parabolas for A = 106, and identify the two most stable isobars.
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