(A) For the particles to experience no net force,the electrostatic repulsive force must be balanced by the gravitational attractive force.$F_e = F_g$$

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(A) For the particles to experience no net force,the electrostatic repulsive force must be balanced by the gravitational attractive force.$F_e = F_g$$\frac{1}{4 \pi \epsilon_0} \cdot \frac{q^2}{r^2} = \frac{G m^2}{r^2}$Canceling $r^2$ from both sides:$\frac{1}{4 \pi \epsilon_0} q^2 = G m^2$Rearranging the terms to find $\frac{q}{m}$:$\frac{q^2}{m^2} = 4 \pi \epsilon_0 G$Taking the square root on both sides:$\frac{q}{m} = \sqrt{4 \pi \epsilon_0 G}$

Class 12 Physics Electric Charges and Fields Electrostatic Force and Coulombs Law

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Two particles of equal mass $m$ and equal charge $q$ are separated by a distance of $16 \text{ cm}$. They do not experience any net force. The value of $\frac{q}{m}$ is . . . . . . (where $G$ is the universal gravitational constant and $\epsilon_0$ is the permittivity of free space).

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A
$\sqrt{4 \pi \epsilon_0 G}$
B
$\sqrt{\frac{G}{4 \pi \epsilon_0}}$
C
$\sqrt{\frac{\pi \epsilon_0}{G}}$
D
$\sqrt{4 \pi \epsilon_0 g}$

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Electric Charges and Fields

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Electrostatic Force and Coulombs Law

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Two particles of equal mass $m$ and equal charge $q$ are separated by a distance of $16 \text{ cm}$. They do not experience any net force. The value of $\frac{q}{m}$ is . . . . . . (where $G$ is the universal gravitational constant and $\epsilon_0$ is the permittivity of free space).

Similar Questions

$A$ point charge of $40 \ statC$ is placed $2 \ cm$ in front of an earthed metallic plane plate of large size. The force of attraction on the point charge is.....$dynes$.

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The charges on two spheres are $+7\,\mu C$ and $-5\,\mu C$ respectively. They experience a force $F$. If each of them is given an additional charge of $-2\,\mu C$,the new force of attraction will be

Two identical charges are separated by a distance $d$. $A$ third charge is placed on their perpendicular bisector at a distance $x$. For the third charge to experience maximum force,the value of $x$ is:

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