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Question: M<sub>p</sub> denotes the mass of a proton and M<sub>n</sub> that of a neutron. A given nucleus, of ...

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 - (Given : c is the velocity of light)

A

M (N, Z) = NMn + ZMp + Bc2

B

M(N, Z) = NMn + ZMp – B/c2

C

M(N, Z) = NMn + ZMp + B/c2

D

M(N, Z) = NMn + ZMp – Bc2

Answer

M(N, Z) = NMn + ZMp – B/c2

Explanation

Solution

B.E. = [ Z Mp + (A – Z) Mn – M] c2

M = Z Mp + N Mn