An electric dipole is placed at the centre of a sphere. then

A) the flux of the electric field through the sphere is zero.

B) the electric field is zero at every point on the sphere.

C) the electric field is not zero anywhere on the sphere.

D) the electric field is zero on a circle on the sphere.

in arihant ch21 (electrostats) ans is given A,C, but in the question if it has been mentioned that the dipole  is placed at the centre of the sphere then cant we assume that it is a short dipole and then option B and D are  correct and not option C.

plz. reply rates assured

 If you assume the dipole is short then to ignore the dimension of the dipole the condition is that the dimension of sphere( radius in this case) should be >> length of the dipole.

But here nothing is mentioned as far as the dimensions of sphere and dipole is concerned. Thus your assumption holds no ground.

Moreover when dipole is enclosed in the sphere

The total charge enclosed by the sphere = 0

Hence by gauss's law of electrostatics the flux = q / ebsylum = 0

so statement (A) is valid

Also the distribution of charge is not symmetric w.r.t sphere so

(C) electric field is not  zero anywhere on the sphere.

ya the explanation given by the above person is absolutely correct