Question

1. The ratio of the forces between two tiny bodies with constant charges in air and in an insulating medium of dielectric constant K is
(a) 1:K
(b) K:1
c) 1:K2
(d) K2:1​

Answer 1

Answer:

The ratio of the forces between two tiny bodies with constant charges is K:1

Explanation:

We know that,

coulomb's law:

According to Coulomb’s law, the force of attraction or repulsion between charged bodies is immediately proportional to the product of their charges and inversely proportional to the square distance between them. It acts alongside the line joining the two charges taken into consideration to be point charges.

F = q1 q2/ 4π$E_O$r^2

where f = force between two charges ,

q1 and q2 are the charges,

$E_0$ =  permitivity of free space.

r = distance between two charges.

F ( air) = q1 q2 / 4π$E_O$r^2,

in the medium of dielectric constant,

f (d) = q1 q2 / 4πK$E_O$r^2,

so, F (air) / F (d) = K:1

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