An equilateral triangle has a side length L. A charge `+q` is kept at the centroid of the triangle . P is a point on the perimeter of the triangle. The ratio of the minimum and maximum possible electric potentials for the point P is

Explanation

Charge at the centroid of an equilateral
triangle `=+q`
The charge `+q` divides the line segment in ratio `2:1`.
That means `r_("max")=2 and r_("min")=1`
`V_("min")=(1)/(4piepsi_0)(q)/(r_"max")and V_("max")=(1)/(4piepsi_0)(q)/(r_"min")`
`V_("min"):V_("max")=(1)/(4piepsi_0)(q)/(2):(1)/(4piepsi_0)(q)/(1)=(1)/(2):1`
`therefore V_("min"):V_("max")=1:2`.