Question

Two small spheres each having the charge + q are suspended by insulating threads of length L from a hook. This arrangement is taken in space where there is no gravitational effect, then the angle between the two suspensions and the tension in each will be

• A. ${180}^{\circ },\frac{1}{4\pi {ϵ}_0}\frac{Q^2}{(2L{)}^2}$
• B. ${90}^{\circ },\frac{1}{4\pi {ϵ}_0}\frac{Q^2}{L^2}$
• C. ${180}^{\circ },\frac{1}{4\pi {ϵ}_0}\frac{Q^2}{2L^2}$
• D. ${180}^{\circ },\frac{1}{4\pi {ϵ}_0}\frac{Q^2}{L^2}$

Answer 1

The correct option is A ${180}^{\circ },\frac{1}{4\pi {ϵ}_0}\frac{Q^2}{(2L{)}^2}$

The position of the balls in the satellite will become horizontal as they tend to move away from each as far as possible
Thus angle $\theta ={180}^{\circ }$ and Force $=\frac{1}{4\pi {ϵ}_0}.\frac{Q^2}{(2L{)}^2}$