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NEET 2021
Exam
NEET
Year
2021
Subject
Physics
Chapter
Electrostatics

NEET 2021 · Physics · Electrostatics

Two charged spherical conductors of radius R _ 1 and R _ 2 are...

Two charged spherical conductors of radius R1{R}_{1} and R2{R}_{2} are connected by a wire. Then the ratio of surface charge densities of the spheres (σ1/σ2)\left({\sigma}_{1} / {\sigma}_{2}\right) is :Two charged spherical conductors of radius R _ 1 and R _ 2 are connected by a wire. Then the ratio of surface charge

Options

  1. AR1R2\dfrac{{R}_{1}}{{R}_{2}}
  2. BR2R1\dfrac{{R}_{2}}{{R}_{1}}
  3. C\sqrt{\left(\dfrac{{R}_{1}}{{R}_{2}}\right)}
  4. D\sqrt{\left(\dfrac{{R}_{2}}{{R}_{1}}\right)}

Correct answer

B. R2R1\dfrac{{R}_{2}}{{R}_{1}}

Step-by-step solution

Two charged spherical conductors of radius R _ 1 and R _ 2 are connected by a wire. Then the ratio of surface charge

V1=V2{V}_{1} = {V}_{2}

kq1R1=kq2R2\dfrac{k{q}_{1}}{{R}_{1}} = \dfrac{k{q}_{2}}{{R}_{2}}

σ14π(R1)2R1=σ24π(R2)2R2\dfrac{{\sigma}_{1}4\pi{\left({R}_{1}\right)}^{2}}{{R}_{1}} = \dfrac{{\sigma}_{2}4\pi{\left({R}_{2}\right)}^{2}}{{R}_{2}}

σ1σ2=R2R1\dfrac{{\sigma}_{1}}{{\sigma}_{2}} = \dfrac{{R}_{2}}{{R}_{1}}

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