4. by what factor will the electric force
between two charged objects change
if the distance between the objects is
quadrupled?
o 1/4
o 1/8
o 1/16
o 4

The factor by which the electric force between two charged objects change if the distance between the objects is quadrupled is .

Option C

Explanation:

Based on coulomb's law, the electric force acting between two charged objects separated by a distance is directly proportionate to the products of the charge of the objects and inversely proportionate to the distance squared between them. So if q and Q are two charges separated by a distance d than the electric force according to coulomb's law can be written as

Now if the distance of separation is quadrupled then the modified force acting on them will be denoted as follows: 

So, the electric force will be reduced by a factor of when the distance of separation is quadrupled.