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Electrostatics question

2008 · Shift 2 · Q60
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Electrostatics question

2008 · Shift 2 · Q60

JEE AdvancedPhysicsElectrostaticsMCQ+3 / −1
The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density ρ(r)\rho(r)ρ(r) [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction. IIT-JEE 2008 Paper 2 Offline Physics - Electrostatics Question 17 English ComprehensionThe electric field within the nucleus is generally observed to be linearly dependent on r. This implies
  1. A
    a=0a = 0a=0
  2. B
    a=R2a = {R \over 2}a=2R​
  3. C
    a=Ra = Ra=R
  4. D
    a=2R3a = {{2R} \over 3}a=32R​
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