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Periods

If M0 is the ...

Question

If $M_{0}$ is the mass of an oxygen isotope $_{8} O^{17}$ . $M_{P}$ and $M_{N}$ are the mass of a proton and a neutron respectively, the nuclear binding energy of the isotope is

(M_{0} - 8 M_{P}) c^{2}

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(8 M_{P} + 9 M_{N} - M_{0}) c^{2}

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M_{0} c^{2}

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(M_{0} - 17 M_{N}) c^{2}

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Solution

The correct option is B $(8 M_{P} + 9 M_{N} - M_{0}) c^{2}$
Binding Energy,

$B . E = Δ m c^{2}$

Where, $Δ m \to mass defect$

For $_{8} O^{17}$ , $Z = 8; A = 17$

$\Rightarrow Δ m = Z M_{p} + (A - Z) M_{N} - M_{o}$

$\Rightarrow B . E = (8 M_{P} + 9 M_{N} - M_{0}) c^{2}$

Hence, option $(B)$ is correct.

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