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Q.

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 θ is so small that tan⁡θ≈sin⁡θ then for equilibrium x is equal to

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a

q2L2πε0mg13

b

qL22πε0mg13

c

q2L24πε0mg13

d

q2L4πε0mg13

answer is A.

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Detailed Solution

In equilibriumFe=Tsin⁡θ..............(i)mg=Tcos⁡θ.............(ii)tan⁡θ=Femg=q24πεox2×mg also tan⁡θ≈sin⁡θ=x/2L Hence x2L=q24πεox2×mg⇒ x3=2q2L4πεomg ⇒x=q2L2πεomg1/3
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