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13. Nuclei — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics13. Nuclei1 Mark
MCQ
The mass and energy equivalent to $1\, a.m.u.$ respectively
  • A
    $1.67 \times {10^{ - 27}}\,gm,\,\,9.30\,\,MeV$
  • ✓
    $1.67 \times {10^{ - 27}}\,kg,\,\,930\,\,MeV$
  • C
    $1.67 \times {10^{ - 27}}kg,\,\,1\,\,MeV$
  • D
    $1.67 \times {10^{ - 34}}\,kg,\,\,1\,\,MeV$
✓

Answer

Correct option: B.
$1.67 \times {10^{ - 27}}\,kg,\,\,930\,\,MeV$
b
(b) $1$ amu

It is defined as one twelfth of the mass of an unbound neutral atom of carbon$-12$ in its nuclear and electronic ground state.

Mass of $1$ mole $C$ atoms $= 12gms$

$1 \mathrm{amu}=\frac{12}{12 \times 6.023 \times 10^{23}}=1.66 \times 10^{-27} \mathrm{kg}$

Energy equivalent, $E=m c^{2}=1.66 \times 10^{-27} \mathrm{kg} \times\left(3 \times 10^{8}\right)^{2}=930 \mathrm{MeV}$

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