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Q.One atomic mass unit is equal to 1.67 × 10⁻²⁷ g. (Yes / No)

Punjab PsebPSEB Punjab Class 12 Board 2018Subjective· 1mImportance★★★★★
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No — the statement mixes up units. 1u = 1.66×10−271.66\times10^{-27} kg, which in grams is 1.66×10−241.66\times10^{-24} g, a thousand times larger than the value given.

By definition, 1 atomic mass unit (u) is 112\dfrac{1}{12}th the mass of a 12C^{12}\text{C} atom:

1u=112×12 g/mol6.022×1023 /mol=1.6605×10−24 g=1.6605×10−27 kg1u = \frac{1}{12}\times \frac{12\text{ g/mol}}{6.022\times10^{23}\text{ /mol}} = 1.6605\times10^{-24}\text{ g} = 1.6605\times10^{-27}\text{ kg}

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