Question

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

Answer 1

Let two small sphere attached with insulating threads are making an angle $2\theta$. so, angle made by each thread with vertical line is $\theta$. Let T is the tension in threads.

see free body diagram,

at equilibrium,

leftward force = rightward force

or, $Tsin\theta=F_e=\frac{KQ^2}{x^2}$

and upward force = downward force

or, $Tcos\theta=mg$

but according to question, gravitational effect is absent. so, mg = 0.

then, $Tcos\theta=0\implies cos\theta=0$

$\implies\theta=90^{\circ}$

hence, angle made by each thread with vertical is 90°.

so, angle between threads = 2 × 90° = 180° .

it means, both threads are formed 180° i.e., straight line.

so, separation between them, x = 2L

now, tension will be T = Fe = KQ²/(2L)²

= KQ²/4L²

Answer 2

Explanation:please refer the attached pic HOPE IT HELPS YOU