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Two identical simple pendulums, A and B, are suspended from the same point. The bobs are given positive charges, with A having more charge than B. They diverge and reach equilibrium, with A and B making angles $θ$ ₁ and $θ$ ₂ with the vertical respectively. Which of the following is correct?

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$θ_{1} > θ_{2}$

$θ_{1} < θ_{2}$

The tension in A is greater than that in B

$θ_{1} = θ_{2}$

answer is C.

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Detailed Solution

Coulomb forces $(F_{e})$ between unequal charges are equal.

For equilibrium,

$F o r A : \tan θ_{1} = \frac{F_{e}}{m g} F o r B : \tan θ_{2} = \frac{F_{e}}{m g} C o m p a r i n g, w e g e t \tan θ_{1} = \tan θ_{2} \Rightarrow θ_{1} = θ_{2}$

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