Twelve identical resistances arranged on all edges of a cube. The resistors are all the same. Then find the equivalent resistance between the edges A and B as shown in figure.

Options

A. between the diagonal of cube is `(5 R)/(6)`
B. between the diagonal of face of cube is `(3 R)/(4)`
C. between the ends of a side is `(7 R)/(12)`
D. All options are correct

Answer

D

Explanation

See solved example.