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KVPY2017PhysicsElectrostatics

If some charge is given to a solid metallic sphere, the field inside remains zero and by Gauss's law all the charge resides on the surface. Suppose now that Colomb's force between two charges varies as 1 / r ³ . Then, for a charged solid metallic sphere

Options

  1. Afield inside will be zero and charge density inside will be zero.
  2. Bfield inside will not be zero and charge density inside will not be zero.
  3. Cfield inside will not be zero and charge density inside will be zero.
  4. Dfield inside will be zero and charge density inside will not be zero.

Correct answer

D. field inside will be zero and charge density inside will not be zero.

Step-by-step solution

If coloumb's force 1 r ³ gauss's law is not valid q _ en ₀ For static condition E =0 in both of conductor through a Gaussian surface just under the surface of conductor =0 but as = q _ en ₀ is not valid So q _ en =0 is not correct statement. Some charge will present insider bulk of conductor.

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