Using the given information, calculate the mass defect of ${}_8^{16}O$ nucleus in $MeV/c^2$. Choose the correct answer from the options given below: |
$150.5\, MeV/c^2$ $127.5\, MeV/c^2$ $107.5\, MeV/c^2$ $680.0\, MeV/c^2$ |
$127.5\, MeV/c^2$ |
The correct answer is Option (2) → $127.5\, MeV/c^2$ Total mass of the nucleus = $Z×m_p+(A-Z)m_n$ $=8×1.007+8×1.008$ $=16.127U$ Experimental Mass (M) = 15.990 U ∴ Mass Deficit = Total mass - Experimental Mass $=16.127-15.990=0.136U$ ∴ Mass Deficit $\left(\frac{MeV}{C^2}\right)$ = 0.136 × 931.5 $≃127.5\frac{MeV}{C^2}$ |