In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the…
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In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of :
[JEE Main 2024, 5 Apr (Shift 1)]
✓ Correct answer: d)
\({10}^{39}\)
Explanation
key concept= Columb's low + Law of gravitation
\({F}_{e}=\frac{k{r}_{1}{r}_{2}}{{r}^{2}}=\frac{9\times {10}^{9}\times {\left(1.6\times {10}^{-19}\right)}^{2}}{{r}^{2}}\)
\({F}_{g}=\frac{G{m}_{1}{m}_{2}}{{r}^{2}}=\frac{6.67\times {10}^{-11}\times 9.1\times {10}^{-31}\times 1.67\times {10}^{-27}}{{r}^{2}}\)
\(∴\frac{{\mathrm{F}}_{\mathrm{e}}}{{\mathrm{F}}_{\mathrm{g}}}=2.2\times {10}^{39}\)
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