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Q.

An alpha particle and a free electron both initially at rest combine to form a He - ion in its ground state with the emission of a single photon.  The energy of the photon is

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a

54.4 eV

b

27.2 eV

c

13.6 eV

d

40.8 eV

answer is A.

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Detailed Solution

For He - ion, the charge on the nucleus Z = 2Energy is proportional to Z2For hydrogen atom with Z = 1, the ground state energy is 13.6 eV.For He- ion, ground state energy
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