Question

Two tiny beads are 25 cm apart with no other charged objects or fields present. Bead A has a net charge of magnitude 10 nC and bead B has a net charge of magnitude 1 nC. Which one of the following statements is true about the magnitudes of the electric forces on these beads?A. The force on A is 100 times the force on B.B. The force on B is 10 times the force on A.C. The force on B is 100 times the force on A.D. The force on A is 10 times the force on B.E. The force on A is exactly equal to the force on B.

Answer 1

E. The force on A is exactly equal to the force on B.

Step-by-step explanation:

The force between two charges is given by

`F=(kq_1q_2)/(r^2)`

where

`q_1` = Charge on particle 1

`q_2` = Charge on particle 2

r = Distance between the charges

k = Coulomb constant =
`8.99* 10^(9)\ Nm^2/C^2`

`F=(8.99* 10^9* 10* 10^(-9)* 1* 10^(-9))/((25* 10^(-2))^2)\\\Rightarrow F=0.0000014384\ N`

This force will be exerted on both the charges equally.

So, The force on A is exactly equal to the force on B