Review. Consider a nucleus at rest, which then spontane- ously splits into two fragments of masses m, and m,. (a) Show that the fraction of the total kinetic energy carried by frag- ment m, is K, Kot + and the fraction carried by m, is K2 m, m, + m2 Kot assuming relativistic corrections can be ignored. A station- ary 23U nucleus fissions spontaneously into two primary fragments, Br and La. (b) Calculate the disintegration energy. The required atomic masses are 86.920 711 u for 87Br, 148.934 370 u for 149La, and 236.045 562 u for 286U. (c) How is the disintegration energy split between the two pri- mary fragments? (d) Calculate the speed of each fragment immediately after the fission. 57 35 57 92

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Review. Consider a nucleus at rest, which then spontane-
ously splits into two fragments of masses m, and m,. (a) Show
that the fraction of the total kinetic energy carried by frag-
ment m, is
K,
Kot
+
and the fraction carried by m,
is
K2
m,
m, + m2
Kot
assuming relativistic corrections can be ignored. A station-
ary 23U nucleus fissions spontaneously into two primary
fragments, Br and La. (b) Calculate the disintegration
energy. The required atomic masses are 86.920 711 u for
87Br, 148.934 370 u for 149La, and 236.045 562 u for 286U. (c)
How is the disintegration energy split between the two pri-
mary fragments? (d) Calculate the speed of each fragment
immediately after the fission.
57
35
57
92
Transcribed Image Text:Review. Consider a nucleus at rest, which then spontane- ously splits into two fragments of masses m, and m,. (a) Show that the fraction of the total kinetic energy carried by frag- ment m, is K, Kot + and the fraction carried by m, is K2 m, m, + m2 Kot assuming relativistic corrections can be ignored. A station- ary 23U nucleus fissions spontaneously into two primary fragments, Br and La. (b) Calculate the disintegration energy. The required atomic masses are 86.920 711 u for 87Br, 148.934 370 u for 149La, and 236.045 562 u for 286U. (c) How is the disintegration energy split between the two pri- mary fragments? (d) Calculate the speed of each fragment immediately after the fission. 57 35 57 92
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