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Questions  

Mp denotes the mass of a proton and Mn that of a neutron. A given nucleus, of binding energy B, contains Z protons and N neutrons. 

The mass M(N, Z) of the nucleus is given by

a
M(N,Z)=NMn+ZMp-Bc2
b
M(N,Z)=NMn+ZMp+Bc2
c
M(N,Z)=NMn+ZMp-B/c2
d
M(N,Z)=NMn+ZMp+B/c2

detailed solution

Correct option is C

Binding energy of a nucleus containing N neutrons and Z protons is B=NMn+ZMp-M(N,Z)c2 ⇒Bc2=NMn+ZMp-M(N,Z) ⇒M(N,Z)=NMn+ZMp-B/c2

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