Electrostatics Question 171
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 [IIT 1986]
Options:
A) $ 180^{o},\frac{1}{4\pi {\varepsilon _{0}}}\frac{Q^{2}}{{{(2L)}^{2}}} $
B) $ 90^{o},\frac{1}{4\pi {\varepsilon _{0}}}\frac{Q^{2}}{L^{2}} $
C) $ 180^{o},\frac{1}{4\pi {\varepsilon _{0}}}\frac{Q^{2}}{2L^{2}} $
D) $ 180^{o},\frac{1}{4\pi {\varepsilon _{0}}}\frac{Q^{2}}{L^{2}} $
Show Answer
Answer:
Correct Answer: A
Solution:
(a) The position of the balls in the satellite will become as shown below .
Thus angle q = 180° and Force $ =\frac{1}{4\pi {\varepsilon _{0}}}\cdot \frac{Q^{2}}{{{(2L)}^{2}}} $