On the average, a neutron loses 63% of its energy in a collision with a hydrogen atom

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On the average, a neutron loses 63% of its energy in a collision with a hydrogen atom and 11% of its energy in a collision with a carbon atom. Calculate the number of collisions needed to reduce the energy of a neutron from 2 MeV to 0.02 eV if the neutron collides with

(a) Hydrogen atoms 

(b) Carbon atoms.

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