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Question

The nuclide 5021Sc, mass 49.9516 amu, is neutron rich. It decays to form 5022Ti, mass 49.94479 amu. If the emitted βparticle has a kinetic energy of 0.80 MeV; what is the kinetic energy of the neutrino emitted simultaneously?

A
5.54 MeV
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B
6.54 MeV
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C
9.54 MeV
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D
None of these
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Solution

The correct option is A 5.54 MeV
Mass defect =49.951649.94479
=6.81×103amu
Binding energy =6.81×103×931MeV
=6.34011MeV
Kinetic energy of the emitted β particle = 0.80 V
Kinetic energy of the neutrino emitted = 5.54 MeV

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