Centre of Mass 3 Question 9

12. It is found that, if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its energy is Pd; while for its similar collision with carbon nucleus at rest, fractional loss of energy is Pc. The values of Pd and Pc are respectively

(2018 Main)

(a) (0,1)

(b) (.89,.28)

(c) (.28,.89)

(d) (0,0)

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Answer:

Correct Answer: 12. (b)

Solution:

  1. Case I Just before Collision,

Just after collision

From momentum conservation,

2v2v1=v

From the definition of e ( =1 for elastic collision)

v2+v1=v3v2=2vv2=2v3v1=v3pd=12mv212mv1212mv2=1191=89=0.89

Case II Just before Collision

Just after Collision,

From momentum conservation,

12v2v1=v

From the definition of e(=1 for elastic collision),

v2+v1=v13v2=2vv2=2v13v1=v2v13=11v13pc=12mv212mv1212mv2=11211691=48169=0.28



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