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JEE MAIN 2024
05-04-24 S1
Question
In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of:
Select the correct option:
A
$10^{39}$
B
$10^{19}$
C
$10^{29}$
D
$10^{36}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
View Solution
Solution
$\begin{aligned} & \mathrm{F}_{\mathrm{e}}=\frac{\mathrm{kQ}_1 \mathrm{Q}_2}{\mathrm{r}^2}=\frac{9 \times 10^9 \times 1.6 \times 10^{-19} \times 1.6 \times 10^{-19}}{\mathrm{r}^2} \\ & \mathrm{~F}_{\mathrm{g}}=\frac{\mathrm{Gm}_1 \mathrm{~m}_2}{\mathrm{r}^2}=\frac{6.67 \times 10^{-11} \times 9.1 \times 10^{-31} \times 1.6 \times 10^{-27}}{\mathrm{r}^2} \\ & \frac{\mathrm{~F}_{\mathrm{e}}}{\mathrm{F}_{\mathrm{g}}} \cong 0.23 \times 10^{40} \cong 2.3 \times 10^{39}\end{aligned}$
Question Tags
JEE Main
Physics
Medium
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