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Electrostatics question

2020 · 5 Sep · Shift 1 · Q62
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  5. /2020 · 5 Sep · Shift 1 · Q62

Electrostatics question

2020 · 5 Sep · Shift 1 · Q62

JEE MainPhysicsElectrostaticsMCQ+4 / −1
A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece of it of mass m gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries charge q. If it acquires a speed v when it has fallen through a vertical height y (see figure), then : (assume the remaining portion to be spherical). JEE Main 2020 (Online) 5th September Morning Slot Physics - Electrostatics Question 167 English
  1. A
    v2 = y[qQ4πε0R(R+y)m+g]y\left[ {{{qQ} \over {4\pi {\varepsilon _0}R\left( {R + y} \right)m}} + g} \right]y[4πε0​R(R+y)mqQ​+g]
  2. B
    v2 = 2y[qQR4πε0(R+y)3m+g]2y\left[ {{{qQR} \over {4\pi {\varepsilon _0}{{\left( {R + y} \right)}^3}m}} + g} \right]2y[4πε0​(R+y)3mqQR​+g]
  3. C
    v2 = 2y[qQ4πε0R(R+y)m+g]2y\left[ {{{qQ} \over {4\pi {\varepsilon _0}R\left( {R + y} \right)m}} + g} \right]2y[4πε0​R(R+y)mqQ​+g]
  4. D
    v2 = y[qQ4πε0R2ym+g]y\left[ {{{qQ} \over {4\pi {\varepsilon _0}{R^2}ym}} + g} \right]y[4πε0​R2ymqQ​+g]
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