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JEE Advanced 2014Paper 2
Exam
JEE Advanced
Year
2014
Paper
Paper 2
Subject
Physics
Chapter
Electrostatics

JEE Advanced 2014 · Paper 2 · Physics · Electrostatics

Charges Q, 2Q and 4Q are uniformly distributed in three dielectric...

Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R/2, R and 2R respectively, as shown in the figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1, 2 and 3 are E1,E2{E}_{1}, {E}_{2} and E3{E}_{3} respectively, then

Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R/2, R and 2R

Options

  1. AE1>E2>E3{E}_{1} > {E}_{2} > {E}_{3}
  2. BE3>E1>E2{E}_{3} > {E}_{1} > {E}_{2}
  3. CE2>E1>E3{E}_{2} > {E}_{1} > {E}_{3}
  4. DE3>E2>E1{E}_{3} > {E}_{2} > {E}_{1}

Correct answer

C. E2>E1>E3{E}_{2} > {E}_{1} > {E}_{3}

Step-by-step solution

For point outside dielectric sphere E=Q4πε0r2E = \dfrac{Q}{4\pi{ε}_{0}{r}^{2}}
For point inside dielectric sphere E=EsrRE = {E}_{s}\dfrac{r}{R}
Exact Ratio E1:E2:E3=2:4:1{E}_{1}: {E}_{2}: {E}_{3} = 2: 4: 1
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