Nuclei - Result Question 47

48. In a fission reaction

$ _92^{236} U \to{ }^{117} X+{ }^{117} Y+n+n $

the binding energy per nucleon of $X$ and $Y$ is 8.5 $MeV$ whereas of ${ }^{236} U$ is $7.6 MeV$. The total energy liberated will be about

[1997]

(a) $2000 MeV$

(b) $200 MeV$

(c) $2 MeV$

(d) $200 keV$

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Answer:

Correct Answer: 48. (b)

Solution:

  1. (b) Binding energy

$=117 \times 8.5+117 \times 8.5-236 \times 7.6$

$=234 \times 8.5-236 \times 7.6$

$=1989-1793.6=200 MeV$

Thus, in per fission of Uranium nearly $200 MeV$ energy is liberated