JEE Main · 2007 · 29 Apr 2007 · Offline · Modern Physics

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M_{O}

is the mass of an oxygen isotope

_{8} O^{17}

M_{p}

and

M_{N}

are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is

(A) $(M_{O} - 8 M_{P}) C^{2}$
(B) $(8 M_{P} + 9 M_{N} - M_{O}) C^{2}$ ✓ Correct
(C) $M_{0} C^{2}$
(D) $(M_{O} - 17 M_{N}) C^{2}$

Answer: (B)

Solution

The nuclear binding energy equals the mass defect times c². For ₈O¹⁷ (8 protons, 9 neutrons): BE = (8M_p + 9M_N − M_O)c², a positive quantity because the bound nucleus is lighter than its separated nucleons. The original paper printed this choice with the signs reversed, as (M_O − 8M_p − 9M_N)c² (a negative value); the sign is corrected here so option B reads (8M_p + 9M_N − M_O)c². Answer: B.

JEE Main · 2007 · 29 Apr 2007 · Offline · Single correct option

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