In hydrogen like system the ratio of coul0mbian force and gravitational force between an electron and a…
In hydrogen like system the ratio of coul0mbian force and gravitational force between an electron and a proton is in the order of :
- $10^{39}$
- $10^{29}$
- $10^{19}$
- $10^{36}$
Solution
$\begin{aligned} & \text { } \mathrm{F}_{\mathrm{e}}=\frac{\mathrm{kQ}_1 \mathrm{Q}_2}{\mathrm{r}^2}=\frac{9 \times 10^9 \times 1.6 \times 10^{-19} \times 1.6 \times 10^{-19}}{\mathrm{r}^2} \\ & \mathrm{~F}_{\mathrm{g}}=\frac{\mathrm{Gm}_1 \mathrm{~m}_2}{\mathrm{r}^2}=\frac{6.67 \times 10^{-11} \times 9.1 \times 10^{-31} \times 1.6 \times 10^{-27}}{\mathrm{r}^2} \\ & \frac{\mathrm{F}_{\mathrm{e}}}{\mathrm{F}_{\mathrm{g}}} \cong 0.23 \times 10^{40} \cong 2.3 \times 10^{39} \\ & \text { Option (1) }\end{aligned}$
Asked in: JEE Main 2024 (05 Apr Shift 1)
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