Solution:When a wire is bent to form a circle, it is equivalent to two resistor wires connected in parallel across the diametrically opposite points.
• If L is the initial length of the wire, on bending it forms two wires of length L/2.
• R α 1. Therefore, the resistances of the two half-length wires will be R/2 each.
• The resistance across any two diametrically opposite points = equivalent resistance in parallel. ⇒ R = R/4
• So, according to the question. the equivalentresistance between two diametrically opposite points of the circle = R/4 = 100/4 = 25Ω