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Physics · 2025 · 2 marks
CBSE 2025 · Region 4 · Set 1 · Q20
Calculate the mass of an α -particle in atomic mass unit ( u ). Given, Mass of a normal helium atom =4 · 002603 u Mass of carbon atom =1.9926 ×…
Calculate the mass of an $\displaystyle \alpha$-particle in atomic mass unit ( u ). Given, Mass of a normal helium atom $\displaystyle =4 \cdot 002603 \mathrm{u}$ Mass of carbon atom $\displaystyle =1.9926 \times 10^{-26} \mathrm{~kg}$
Marking-scheme solution
$\displaystyle 1 \mathrm{u}=\frac{1}{12}$ mass of carbon atom $\displaystyle =\frac{1.9926 \times 10^{-26} \mathrm{~kg}}{12}=1.66 \times 10^{-27} \mathrm{~kg}$
mass of an electron $\displaystyle =9.1 \times 10^{-31} \mathrm{~kg}$
mass of two electrons $\displaystyle =\frac{2 \times 9.1 \times 10^{-31}}{1.66 \times 10^{-27}}=0.00109638 \mathrm{u}$
mass of $\displaystyle \alpha$-particle $\displaystyle =$ mass of the normal helium atom $\displaystyle -$ mass of two electrons
$\displaystyle =4.0026030-0.00109638$
$\displaystyle =4.00150662 \mathrm{u}$
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CBSE Class 12 Physics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.