Solveeit Logo

Question

Question: Two small spheres each having the charge \(+ Q\) are suspended by insulating threads of length \(L\)...

Two small spheres each having the charge +Q+ Q are suspended by insulating threads of length LL 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

180o,14πε0Q2(2L)2180^{o},\frac{1}{4\pi\varepsilon_{0}}\frac{Q^{2}}{(2L)^{2}}

B

90o,14πε0Q2L290^{o},\frac{1}{4\pi\varepsilon_{0}}\frac{Q^{2}}{L^{2}}

C

180o,14πε0Q22L2180^{o},\frac{1}{4\pi\varepsilon_{0}}\frac{Q^{2}}{2L^{2}}

D

180o,14πε0Q2L2180^{o},\frac{1}{4\pi\varepsilon_{0}}\frac{Q^{2}}{L^{2}}

Answer

180o,14πε0Q2(2L)2180^{o},\frac{1}{4\pi\varepsilon_{0}}\frac{Q^{2}}{(2L)^{2}}

Explanation

Solution

The position of the balls in the satellite will become as shown below

Thus angle θ = 180° and Force =14πε0Q2(2L)2= \frac{1}{4\pi\varepsilon_{0}} \cdot \frac{Q^{2}}{(2L)^{2}}