where r is the distance between their centres?
(b)
If Columb?s law involved 
dependence
(instead of 1/r2), would Gauss?s law be still true?
(c)
A small test charge is released at rest at a point in an electrostatic field
configuration. Will it travel along the field line passing through that point?
(d)
What is the work done by the field of a nucleus in a complete circular orbit of
the electron? What if the orbit is elliptical?
(e)
We know that electric field is discontinuous across the surface of a charged
conductor. Is electric potential also discontinuous there?
(f)
What meaning would you give to the capacitance of a single conductor?
(g)
Guess a possible reason why water has a much greater dielectric constant (= 80)
than say, mica (= 6).
Answer:
(a) No, because the
distribution of charge on the conducting spheres remain on their surfaces only
so it cannot be uniform. Coulomb's law is valid for point charges only.
(b)
Gauss' law and Coulomb's law are interdependent laws. If dependence of
Coulomb's law involves 
dependence
then Gauss' law in the existing state will not be true.
(c)
It is true only if field line is a straight line.
(d)
Whatever may be the shape of the closed orbit, it is zero.
(e)
Potential is continuous.
(f)
It means that a single conductor is a capacitor whose other plate can be
considered to be at infinity.
(g)
A water molecule has permanent dipole moment so its dielectric constant is
high.
Mica
does not have polar molecules.
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