Ratio of electrostatic force to gravitational force between two electrons

Asked by admin @ 03/12/2021 in Physics viewed by 344 People

The ratio of electrostatic force between two electrons to gravitation

force between them is of the orderA) 10C) 10^3B)1D) 10^42

Answered by admin @ 03/12/2021

Answer:

D) 10^42

Explanation:

The electrostatic force between two electrons is given by

$F_E = \frac{k q^2}{r^2}$

where

k is the Coulomb's constant

q is the electron charge

r is the separation between the electrons

The gravitational force between two electrons is

$F_G = \frac{G m^2}{r^2}$

where

G is the gravitational constant

m is the electron mass

r is the separation between the electrons

So the ratio between the two forces is

$\frac{F_E}{F_G}=\frac{k q^2}{G m^2}=\frac{(9\cdot 10^9 Nm^2 C^{-2} )(1.6 \cdot 10^{-19}C)^2}{(6.67\cdot 10^{-11}m^3 kg^{-1}s^{-2})(9.11\cdot 10^{-31} kg)^2}=4.2\cdot 10^{42}$

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