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Physics Center of Mass JEE (Main) / AIEEE Problems (Previous Years) MCQ (Single Correct)

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

A
(0, 0)
B
(0, 1)
C
(.89, .28)
D
(.28, .89)

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Verified by Experts
The correct answer is:
C

Case-I

JBC

JAC

2V 2 – V 1 = V

V 2 + V 1 = V

3V 2 = 2V

V 2 =

V 1 =

P d = = 0.89

Case-II

JBC

JAC

12V 2 – V 1 = V

V 2 + V 1 = V

13V 2 = 2V

V 2 =

V 1 = V –

⇒ P c = = 0.28

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