The force of repulsion between two charged particles will remain the same
We know that from Columb's law force between two charged particles will be given by
[tex]F=k \dfrac{q_1q_2}{r^2}[/tex]
Now from the condition
if the charge on one of the particles is doubled and that on the other is reduced to half the original value
[tex]q_1'=2q_1[/tex]
and
[tex]q_2'=\dfrac{q_2}{2}[/tex]
Use the above values in the formula
[tex]F'=k\dfrac{q_1'q_2'}{r^2}[/tex]
[tex]F'=k\dfrac{2q_1 \dfrac{q_2}{2} }{r^2}[/tex]
[tex]F'=k\dfrac{q_1q_2}{r^2}[/tex]
So [tex]F=F'[/tex]
Thus the force of repulsion between two charged particles will remain the same
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