Suppose that not all but only 50% of the neutrons were consumed in Big Bang Nucleosynthesis. What would the H:He mass ratio be? 13:2 26:1 6:1 3:2

Modern Physics
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Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter15: Elementary Particles
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Suppose that not all but only 50% of the neutrons were consumed in Big Bang Nucleosynthesis. What would the H:He mass ratio be?

  1. 13:2
  2. 26:1
  3. 6:1
  4. 3:2

 

Is the answer A?

I tried keeping the 7:1 number ratio of H:He and calculate as follows:

Suppose there are 28 H and 4 neutrons, so 2 He is made by combining 4 H with 4 neutrons. So, 2 He is made and 24 H is left. H:He mass ratio is 3:1.

If 4 neutrons is reduced to 2 neutrons while there are still 28 H, only 1 He is made by combining 2 H with 2 neutrons. 26 H is left. So, the new H:He mass ratio is 13:2 (26/4)

Is this a working method? Thank you very much!

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