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Question

Masses of nucleus, neutron and proton are M, mn and mp respectively. if nucleus has been divided in to neutrons and protons, then

A
M=(AZ)mn+Zmp
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B
M=2mn+(AZ)mp
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C
M<(AZ)mn+Zmp
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D
M>(AZ)mn+Zmp
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Solution

The correct option is C M<(AZ)mn+Zmp
When a nucleus is formed the relation is as follows (AZ)mn+Zmp=M+Q
where Q is the binding energy.
When the nucleus get broken in constituents then the Q disappear and we get
M<(AZ)mn+Zmp

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