If two particles have equal charges and are placed near one another, how
will they move?
oa) they won't move.
ob) the two particles will move toward each other.
oc) the two particles will move away from each other.

C) The two particles will move away from each other

Explanation:

When two electrically charged bodies come closer, appears a force that attracts or repels them, depending on the sign of the charges of this two bodies.

This is stated by Coulomb's Law:

"The electrostatic force between two point charges and is proportional to the product of the charges and inversely proportional to the square of the distance that separates them, and has the direction of the line that joins them"  

Mathematically this law is written as:  

Where is a proportionality constant.  

Now, if and have the same sign charge (both positive or both negative), a repulsive force will act on these charges.

if the forces acting on an object are unbalanced, the object will accelerate in the direction of the net force on the object.

explanation:

this is best explained by having an understanding of newton's second law, which states that f=ma. you see, when the forces are unbalanced, net force (sum of all forces) is not zero. therefore making it necessary for the object to have an acceleration in the direction of the net force.