If $ M_{O} $ is the mass of an oxygen isotope $ { }_{8} \mathrm{O}^{17}, M_{\mathrm{P}} $ and $ M_{\mathrm{N}} $ are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is

Question

If $ M_{O} $ is the mass of an oxygen isotope $ { }_{8} \mathrm{O}^{17}, M_{\mathrm{P}} $ and $ M_{\mathrm{N}} $ are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is, $ \left(M_{\mathrm{O}}-17 M_{\mathrm{N}}\right) c^{2} $, $ \left(M_{\mathrm{O}}-8 M_{P}\right) c^{2} $, $ \left(8 M_{\mathrm{P}}+9 M_{\mathrm{N}}-M_{O}\right) c^{2} $, $ M_{\mathrm{O}} c^{2} $

MARKS App · Accepted Answer

Binding energy = [ZM P + (A – Z) M N – M O ] c 2 = [8M P + (17 – 8) M N – M O ]c 2 = (8 M P + 9M N – M O ) c 2

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