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Questions  

An α-particle with a kinetic energy of 2.1 eV makes a head on collision with a hydrogen atom moving towards it with a kinetic energy of 8.4 eV. The collision

a
must be perfectly elastic
b
may be perfectly inelastic
c
may be inelastic
d
must be perfectly inelastic

detailed solution

Correct option is C

Pi=m.4.E−4mE=0For completely inelastic collision both come to rest after collision and net energy of 4E + E = 10.5eV is lost. But electron in ground state of H-atom can accept only an energy of 10.2 eV. Hence the collision may be inelastic but it can never be perfectly inelastic.

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In a H atom, let K, n be the kinetic energy of the electron and principal quantum number, respectively. Now, relate K, n according to Bohr's model of H atom:


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