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Atoms and Nuclei question

2023 · 6 Apr · Shift 2 · Q64
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Atoms and Nuclei question

2023 · 6 Apr · Shift 2 · Q64

JEE MainPhysicsAtoms and NucleiNumerical+4 / −1
Experimentally it is found that 12.8 eV12.8 ~\mathrm{eV}12.8 eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the electron in a hydrogen atom is 9x×10−10 m\frac{9}{x} \times 10^{-10} \mathrm{~m}x9​×10−10 m. The value of the xxx is ‾\underline{\hspace{2cm}}​. (1eV=1.6×10−19 J,14πϵ0=9×109Nm2/C2\left(1 \mathrm{eV}=1.6 \times 10^{-19} \mathrm{~J}, \frac{1}{4 \pi \epsilon_{0}}=9 \times 10^{9} \mathrm{Nm}^{2} / \mathrm{C}^{2}\right.(1eV=1.6×10−19 J,4πϵ0​1​=9×109Nm2/C2 and electronic charge =1.6×10−19C)\left.=1.6 \times 10^{-19} \mathrm{C}\right)=1.6×10−19C)
Numerical answer
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