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Electrostatics question

2019 · 10 Apr · Shift 1 · Q51
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Electrostatics question

2019 · 10 Apr · Shift 1 · Q51

JEE MainPhysicsElectrostaticsMCQ+4 / −1
A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point charge q is moving towards the ring along the z-axis and has speed u at z = 4a. The minimum value of u such that it crosses the origin is :
  1. A
    2m(215q24πε0a)1/2\sqrt {{2 \over m}} {\left( {{2 \over {15}}{{{q^2}} \over {4\pi {\varepsilon _0}a}}} \right)^{1/2}}m2​​(152​4πε0​aq2​)1/2
  2. B
    2m(115q24πε0a)1/2\sqrt {{2 \over m}} {\left( {{1 \over {15}}{{{q^2}} \over {4\pi {\varepsilon _0}a}}} \right)^{1/2}}m2​​(151​4πε0​aq2​)1/2
  3. C
    2m(15q24πε0a)1/2\sqrt {{2 \over m}} {\left( {{1 \over {5}}{{{q^2}} \over {4\pi {\varepsilon _0}a}}} \right)^{1/2}}m2​​(51​4πε0​aq2​)1/2
  4. D
    2m(415q24πε0a)1/2\sqrt {{2 \over m}} {\left( {{4 \over {15}}{{{q^2}} \over {4\pi {\varepsilon _0}a}}} \right)^{1/2}}m2​​(154​4πε0​aq2​)1/2
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