Nuclear Physics And Radioactivity Question 227
Question: $ M_{p} $ denotes the mass of a proton and $ M_{n} $ 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 (c is the velocity of light) [CBSE PMT 2004]
Options:
A) $ M(N,,Z)=NM_{n}+ZM_{p}-Bc^{2} $
B) $ M(N,,Z)=NM_{n}+ZM_{p}+Bc^{2} $
C) $ M(N,,Z)=NM_{n}+ZM_{p}-B/c^{2} $
D) $ M(N,,Z)=NM_{n}+ZM_{p}+B/c^{2} $
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Answer:
Correct Answer: C
Solution:
$ B=[Z,M_{p}+N,M_{n}-M(N,\ Z)]c^{2} $
$ \Rightarrow M(M,,Z)=Z,M_{p}+N,M_{n}-B/c^{2} $