Electrostatics Question 675

Question: Two balls of same mass and carrying equal charge are hung from a fixed support of length l. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, x between the balls is proportional to:

Options:

A) l

B) l2

C) l2/3

D) l1/3

Show Answer

Answer:

Correct Answer: D

Solution:

[d] In equilibrium, Fe=Tsinθ

mg=Tcosθ

tanθ=Femg=q24π0x2×mg

also tanθsin=x/2l

Hence, x2l=q24π0x2kt

x3=2q2l4π0mgx=(q2l2π0mg)1/3

xl1/3



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