AIPMT PRELIMS2008Physics-Nuclear Physics

AIPMT PRELIMS 2008 Physics Binding Energy MCQ Question

Type: MCQ-conceptual-Hard-Class 12

If M (A, Z), Mₚ and Mₙ denote the masses of the nucleus ²⁴₁₂X, proton and neutron respectively in units of u (1u = 931.5 MeV/c²) and BE represents its bonding energy in MeV, then -

A

M(A, Z) = ZMₚ + (A - Z)Mₙ - BE

B

M(A, Z) = ZMₚ + (A - Z)Mₙ + BE/c²

C

M(A, Z) = ZMₚ + (A - Z)Mₙ - BE/c²

D

M(A, Z) = ZMₚ + (A - Z)Mₙ + BE

Correct Answer

Option C

Detailed Explanation

The mass defect is related to the binding energy by the equation BE = Δm c², where Δm = ZMₚ + (A - Z)Mₙ - M(A, Z).

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