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 is as shown below

Thus angle q = 180° and Force $ =\frac{1}{4\pi {\varepsilon _{0}}}\cdot \frac{Q^{2}}{{L^{2}}} $



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