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Electrostatics question

2021 · 27 Jul · Shift 1 · Q64
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Electrostatics question

2021 · 27 Jul · Shift 1 · Q64

JEE MainPhysicsElectrostaticsMCQ+4 / −1
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 'θ\thetaθ' with the vertical?
  1. A
    x=(q2l2πε0mg)12x = {\left( {{{{q^2}l} \over {2\pi {\varepsilon _0}mg}}} \right)^{{1 \over 2}}}x=(2πε0​mgq2l​)21​
  2. B
    x=(q2l2πε0mg)13x = {\left( {{{{q^2}l} \over {2\pi {\varepsilon _0}mg}}} \right)^{{1 \over 3}}}x=(2πε0​mgq2l​)31​
  3. C
    x=(q2l22πε0m2g)13x = {\left( {{{{q^2}{l^2}} \over {2\pi {\varepsilon _0}{m^2}g}}} \right)^{{1 \over 3}}}x=(2πε0​m2gq2l2​)31​
  4. D
    x=(q2l22πε0m2g2)13x = {\left( {{{{q^2}{l^2}} \over {2\pi {\varepsilon _0}{m^2}{g^2}}}} \right)^{{1 \over 3}}}x=(2πε0​m2g2q2l2​)31​
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