Question

electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to

Answer 1

electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to 1/r² .

actually, formula of potential due to dipole is
$V=\frac{kPcos{\theta}}{r^2}$
here, you can see that potential is inversely proportional to square of distance from the centre of dipole .

Answer 2

Electric dipole is an arrangement in which two equal and opposite charges are separated by small distance .

Electric potential due to dipole at a point away from the dipole is given by equation :

V=(1/4πε₀) Pcosθ/r²

As we can see that Electric potential is inversely proportional to r²

Hence. V α 1/r²