Question

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/r³ . Then, for a charged solid metallic sphere

(A)  field inside will be zero and charge density inside will be zero.

(B)  field inside will not be zero and charge density inside will not be zero.

(C)  field inside will not be zero and charge density inside will be zero.

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

Answer 1

Correct option  (D) field inside will be zero and charge density inside will not be zero.

Explanation:

If coloumb's force ∝1/r³ gauss's law is not valid

For static condition E = 0 in both of conductor

∴  ϕ through a Gaussian surface just under the surface of conductor = 0 but as

ϕ = q_en/ε₀ is not valid

So q_en  = 0 is not correct statement. Some charge will present insider bulk of conductor.