Home
Class 12
PHYSICS
In the given figure two tiny conducting ...

In the given figure two tiny conducting balls of identical mass `m` and identical charge `q` hang from non-conducting threads of equal length `L`. Assume that `theta` is so small that than `theta~~ sin theta`, then for equilibrium `x` is equal to

A

`((q^2L)/(2piepsilon_0mg))^(1//3)`

B

`((qL^2)/(2piepsilon_0mg))^(1//3)`

C

`((q^2L^2)/(2piepsilon_0mg))^(1//3)`

D

`((q^2L)/(4piepsilon_0mg))^(1//3)`

Text Solution

Verified by Experts

The correct Answer is:
A
In equilibrium `F_e = T sin theta`
`mg = T cos theta`
`tan theta=F_e/(mg)`
`implies sin theta=F_e/(mg)`
`implies(x/2)/L=(Kq^2)/(x^2mg)implies L=(x^3mg)/(2Kq^2)`
`implies x^3 =(2Lq^2)/(4piepsilon_0mg)implies x = [(Lq^2)/(2piepsilon_0 mg)]^(1/3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two indentical pith balls, each carrying charge q, are suspended from a common point by two strings of equal length l. Find the mass of each ball if the angle between the strings is 2theta in equilibrium.

If a small sphere of mass m and charge q is hung from a silk thread at an angle theta with the surface of a vertical charged conducting plate, then for equilibrium of sphere, the surface charge density of the plate is

If a small sphere of mass m and charge q is hanged from a silk thread at an angle theta with the surface of a vectical charged conductinb plate, then for equilibrium of sphere the surface charge density of the plate -

Two identical tennis balls each having mass 'm' and charge 'q' are suspended from a fixed point by threads of length 'l'. What is the equilibrium separation when each thread makes a small angle 'theta' with the vertical ?

A small non-conducting ball of mass m =1mg and charge q=2times10^(-8) C hangs from an insulating thread that makes an angle theta=30^(@) with vertical uniformly charged non-conducting sheet.Considering the gravitational force on the ball and assuming that the sheet extends for vertically and into out of the page.Calculate surface charge density of sheet.

Two small balls, each having charge q, are suspended by two insulating threads of equal length L fron a hook in an elevator. The elevator is freely falling. Calculate the angle etween the two threads and tension in each thread.

Two identical small bodies each of mass m and charge q are suspended from two strings each of length l from a fixed point. This whole system is taken into an orbiting artificial satellite, then find the tensio in strings