The surface charge density of a thin spherical shell placed in an air medium is 88.54 c/m2 The intensity of the electric field measured 12 mm outside the shell from the centre of the shell is 5.625 × 1012 N/C. The thin spherical shell has a radius of: 

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  1. 10.5 mm
  2. 6.0 mm
  3. 0.35 mm
  4. 9.0 mm

Answer (Detailed Solution Below)

Option 4 : 9.0 mm
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Detailed Solution

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Given:

Surface charge density 

Electric field 

Distance measured outside the shell, 

Concept:

For a thin uniformly charged spherical shell, the Electric field points outside the shell at a distance x from the centre is

  • If the radius of sphere is R, 

 

Explanation:

Put all the given values in above equation to get the value of radius, we get,

Hence, the correct answer is .

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