Question

Fg and fe represents gravitational and electrostatic force respectively between two electrons situation at some distance the ratio of fg/ fe is of order of

Answer 1

Explanation:

The gravitational force between two electrons is given by :

$F_g=\dfrac{Gm^2}{r^2}$ .......(1)

The electrostatic force between two electrons is given by :

$F_e=\dfrac{kq^2}{r^2}$ .....(2)

The electrons are separated at same distance.

Dividing equation (1) and (2) we get :

$\dfrac{F_g}{F_m}=\dfrac{Gm^2}{kq^2}$

G is universal gravitational constant

k is electrostatic constant

m and q are mass and charge of electron

$\dfrac{F_g}{F_m}=\dfrac{6.67\times 10^{-11}\times (9.1\times 10^{-31})^2}{9\times 10^9\times (1.6\times 10^{-19})^2} \\\\\dfrac{F_g}{F_m}=2.39\times 10^{-43}$

Hence, this is the required solution.

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