AIPMT PRELIMS2004Physics-Nuclear Physics

AIPMT PRELIMS 2004 Physics Binding Energy MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Mₚ denotes the mass of a proton and Mₙ that of a neutron. A given nucleus, of binding energy Bₑ, contains Z protons and N neutrons. The mass M(N, Z) of the nucleus is given by (c is velocity of light )

A

M(N, Z) = NMₙ + ZMₚ + Bₑ²

B

M(N, Z) = NMₙ + ZMₚ - Bₑ/c²

C

M(N, Z) = NMₙ + ZMₚ + Bₑ/c²

D

M(N, Z) = NMₙ + ZMₚ - Bₑ²

Correct Answer

Option B

Detailed Explanation

The mass defect is related to the binding energy by E = mc², so the mass of the nucleus is reduced by the binding energy divided by c².

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