A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is Options

Step-by-step solution

For the wire bent into an equilateral triangle, each side has a resistance R 3 . R_ eq = ( 2 R 3 ) ( R 3 ) 2 R 3 + R 3 = 2 R 9 =R₁ (lets say) For the wire bent into a square, each side has a resistance R 4 . aligned & R_ eq = ( 3 R 4 ) ( R 4 ) 3 R 4 + R 4 = 3 R 16 =R₃ (lets say) & R₁ R₃ = 2 R 9 3 R 16 = 32 27 aligned