Question

The ratio of electrostatic force between two electrons to gravitation

force between them is of the order
A) 10
C) 10^3
B)1
D) 10^42​

Answer 1

D) 10^42​

Step-by-step explanation:

The electrostatic force between two electrons is given by

`F_E = (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 = (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

`(F_E)/(F_G)=(k q^2)/(G m^2)=((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)`